# Keyword index S

**s-curve**- 67/2004 - Existence and Regularity for an Energy Maximization Problem in Two Dimensions

**S2-harmonic maps**- 1/2015 - Asymmetric domain walls of small angle in soft ferromagnetic films

**saddle-shaped solutions**- 41/2011 - Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian

**sampling inequality**- 152/2006 - Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods

**sasaki**- 80/2002 - Closed Legendre geodesics in Sasaki manifolds

**scalar curvature blowup**- 96/2006 - The global geometry of Riemannian manifolds with commuting curvature operators

**Scaling****scaling limit**- 97/2006 - Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point

**scattering, couled maxwell-schoedinger equations**- 24/2005 (
*Lecture note*) - Lectures on Global Attractors of Hamilton Nonlinear Wave Equations

- 24/2005 (
**scattering, magnetic moment**- 25/2005 (
*Lecture note*) - Lectures on Quantum Mechanics (nonlinear PDEs point of view)

- 25/2005 (
**Schauder a priori estimate**- 50/2012 - Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations

**Schmidt decomposition**- 75/2007 - Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations

**Schmidt-correlated state**- 21/2008 - Entanglement of Multipartite Schmidt-correlated States

**schouten tensor****Schrödinger equation**- 3/2008 - Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling

**schrödinger equation**- 18/2000 - The efficient computation of scalar products of certain antisymmetric functions

**Schrodinger equation**- 3/2008 - Concepts of Data-Sparse Tensor-Product Approximation in Many-Particle Modelling

**Schroedinger equation**- 85/2006 - Global well-posedness for the Schroedinger equation coupled to a nonlinear oscillator

**schroedinger, pauli, dirac equations**- 25/2005 (
*Lecture note*) - Lectures on Quantum Mechanics (nonlinear PDEs point of view)

- 25/2005 (
**schur complement****schur function series**- 48/2005 - New branching rules induced by plethysm

**Schur Lemma**- 11/2011 - A new conformal invariant on 3-dimensional manifolds

**schwarz lemma**- 74/2003 - Equivariant Rational maps and Configurations: spherical equidistribution and SO(N,1) contraction

**Schwarz's theorem**- 13/2016 - Some properties of Hamiltonian homeomorphisms on aspherical closed surfaces

**scientific computing**- 7/2006 (
*Technical report*) - {\bf SuperLie}. A package for Lie algebra and Super Algebra computations in {\it Mathematica} software system

- 7/2006 (
**search equilibrium model**- 75/2016 - The Coconut Model with Heterogeneous Strategies and Learning

**secant variety****second boundary value problem**- 39/2002 - Neuman and second boundary value problems for Hessian and Gauss curvature flows

**second fundamental form**- 47/2003 - Sharp rigidity estimates for nearly umbilical surfaces

**second-order phase transition**- 97/2006 - Multiple critical behavior of probabilistic limit theorems in the neighborhood of a tricritical point

**secret sharing**- 72/2017 - Secret Sharing and Shared Information

**Securitization**- 56/2009 - Optimal Securitization of Credit Portfolios via Impulse Control

**segmentation**- 87/2002 - Unbiased detection of phase locking in multivariate signals

**seiberg-witten functional**- 45/1998 - Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6
^{th}order potentials

- 45/1998 - Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6
**seiberg-witten map****Seidel morphism**- 16/2009 - The Seidel morphism of cartesian products

**selection**- 77/2008 - Preferential attachment renders an evolving network of populations robust against crashes

**self duality equations**- 45/1998 - Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6
^{th}order potentials

- 45/1998 - Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6
**Self-Assembled Aggregation**- 32/2009 - An Atomistic to Continuum Model for Biopolymers Self-Assembled Aggregation

**self-dual****self-organized criticality**- 54/2008 - Self-organization of heterogeneous topology and symmetry breaking in networks with adaptive thresholds and rewiring

**self-preserving spectra**- 62/2003 - Approach to self-similarity in Smoluchowski's coagulation equations

**self-replication, ligation, autocatalytic network,**- 90/2002 - Molecular Replicator Dynamics

**self-shrinker**- 67/2014 - Omori-Yau maximum principles, V-harmonic maps and their geometric applications

**self-similar sets**- 31/2004 - A notion of Euler characteristic for fractals

**self-similar solutions**- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 23/2012 - Regularity of source-type solutions to the thin-film equation with zero contact angle and mobility exponent between 3/2 and 3
- 3/2003 - From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

**Self-similarity**- 48/2011 - Self-similarity and network perspective of the Chinese fund market

**semiclassical**- 14/2005 - Semiclassical Limit of the Focusing Nonlinear Schr\"odinger Equation under Barrier Initial Data

**semiclassical limit**- 76/2008 - Higher Asymptotics of Unitarity in ``Quantization Commutes with Reduction''

**semiclassical nls**- 67/2004 - Existence and Regularity for an Energy Maximization Problem in Two Dimensions

**semiconvex hulls**- 47/2001 - Quasiconvex hulls in symmetric matrices

**semigroup**- 55/2014 - The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces

**semigroup of nonexpansive maps**- 17/2013 - Convergence of nonlinear semigroups under nonpositive curvature

**Semigroup rings**- 67/2011 - Decomposition of semigroup algebras

**semilinear equation**- 64/1998 - On a conjecture of Wolansky

**semilinear parabolic equation**- 9/2003 - Blow-up of positive solutions of a semilinear parabolic equation with a gradient term

**seminormal**- 32/2012 - Decomposition of Monomial Algebras: Applications and Algorithms

**Semiquantum correlation**- 68/2013 - Quantum correlations induced by local von Neumann measurement

**semiring****sensing of gradient fields**- 65/2003 - Global solutions of nonlinear transport equations for chemosensitive movement

**Sensori-Motor Loop**- 11/2013 - Quantifying Morphological Computation

**sensorimotor loop****sensors and actuators**- 78/2000 - A constrained theory of magnetoelasticity

**separability**- 82/2014 - Inequality detecting entanglement for arbitrary bipartite systems
- 29/2013 - Characterization of four-qubit states via Bell inequalities
- 27/2013 - Bell inequality for multipartite qubit quantum system and the maximal violation
- 17/2010 - Separable State Decompositions for a Class of Mixed States
- 89/2008 - A Note on Quantum Entanglement and PPT
- 21/2008 - Entanglement of Multipartite Schmidt-correlated States
- 108/2006 - Bell Inequalities Classifying Bi-separable Three-qubit States
- 107/2006 - A Note on Pseudo-Hermitian Systems with Point Interactions and Quantum Separability
- 12/2006 - Separability and Entanglement of Identical Bosonic Systems
- 3/2006 - Hermitian Tensor Product Approximation of Complex Matrices and Separability
- 95/2001 - Information geometry on complexity and stochastic interaction
- 35/1999 - Hyperplane arrangements separating arbitrary vertex classes in n-cubes

**separable approximation**- 37/2010 - Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs
- 9/2010 - Tensor-Structured Galerkin Approximation of parametric and stochastic Elliptic PDEs
- 45/2008 - Minimax approximation for the decomposition of energy denominators in Laplace-transformed M{\o}ller-Plesset perturbation theories

**separable approximations**- 78/2008 - Use of Tensor Formats in Elliptic Eigenvalue Problems

**separable permutation**- 37/2019 - Constructing Separable Arnold Snakes of Morse Polynomials

**separable state****separate convexity**- 17/2001 - Non-compact lamination convex hulls

**separating invariants****Sequence analysis**- 81/2013 - Inhomogeneous Parsimonious Markov Models

**Serotonin****Set Partitioning Problem**- 105/2014 - A Generic Algorithmic Framework to Solve Special Versions of the Set Partitioning Problem

**Set-valued dynamical systems**- 26/2011 - Topological bifurcations of minimal invariant sets for set-valued dynamical systems

**sets of finite perimeter**- 41/2002 - The perimeter inequality for Steiner symmetrization: cases of equality

**several dimensions****Shadowing****Shannon information****shape-memory polycrystals**- 49/2004 - Examples of nonlinear homogenization in plane strain involving degenerate energies

**shared information**- 72/2017 - Secret Sharing and Shared Information

**shared memory**- 2/2003 (
*Technical report*) - Implementation and Usage of a Thread Pool based on POSIX Threads

- 2/2003 (
**shared memory systems**- 29/2004 - Parallel -Matrix Arithmetics on Shared Memory Systems

**sharp interface limits****sheaf theory**- 84/2015 - (Almost) C*-algebras as sheaves with self-action

**shell index**- 36/2018 - Cores, shell indices and the degeneracy of a graph limit

**shell theory**- 33/2013 - Derivation of a homogenized von Kármán shell theory

**Sherman-Morrison correction**- 51/2012 - Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients

**shock structure**- 4/2002 - The Bifurcation Analysis of the MHD Rankine-Hugoniot Equations for a Perfect Gas

**shock waves**- 4/2002 - The Bifurcation Analysis of the MHD Rankine-Hugoniot Equations for a Perfect Gas

**shocks****sigma algebras**- 4/2015 - Operator-theoretic identification of closed sub-systems of dynamical systems

**signal segmentation**- 46/2002 - An Analytical Framework For Modeling Evoked and Event-Related Potentials

**signature tensor**- 91/2018 - The rough Veronese variety

**Signed graph****simple fluids**- 59/2005 - Low-Rank wavelet solver for the Ornstein-Zernike integral equation

**simple Lie algebras**- 77/2006 - Structures of G(2) type and nonholonomic distributions in characteristic p

**simple Lie superalgebras**- 78/2006 - Simple Lie superalgebras and non-integrable distributions in characteristic p

**simple-layer potential**- 84/2011 - Stabilization of a degenerate minimization problem with the simple-layer potential

**simplicial affine semigroup rings**- 10/2011 - A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings

**simplicial complex**- 34/2011 - Combinatorial Laplace operators: a unifying approach, normalization and spectra

**simulated evolution**- 56/2004 - Emergence of cell migration and aggregation strategies in a simulated evolutionary process

**simulation study**- 7/2010 - An experimental evaluation of boosting methods for classification

**Sinc approximation**- 38/2006 - Tensor-Product Approximation to Multi-Dimensional Integral Operators and Green's Functions

**sinc interpolation**- 30/2005 - Low-Rank Kronecker Product Approximation to Multi-Dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators
- 29/2005 - Low-Rank Kronecker-Product Approximation to Multi-Dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-Variate Functions
- 4/2005 - Structured Data-Sparse Approximation to High Order Tensors Arising from the Deterministic Boltzmann Equation

**sinc quadrature****sinc-quadratures**- 79/2008 - Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels

**sine/cosine transform**- 18/2011 - Superfast Fourier transform using QTT approximation

**Single Crystal Plasticity**- 84/2008 - Lamination microstructure in shear deformed copper single crystals

**single-cell based model**- 113/2002 - On the temporal-spatial organization of epithelial cell populations in-vitro

**Single-electron Schrödinger equation**- 23/2009 - The tensor product approximation to single-electron systems

**single-layer potential**- 64/2006 - Analysis and numerical simulation of magnetic forces between rigid polygonal bodies. Part II: Numerical Simulation

**singular homology theory**- 84/2003 - Stratified Morse Theory with Tangential Conditions

**singular integrals**- 71/2012 - Hierarchical quadrature for multidimensional singular integrals - part II
- 70/2012 - Tensor Structured Evaluation of Singular Volume Integrals
- 5/2010 - Hierarchical Quadrature for Multidimensional Singular Integrals
- 86/2003 - May the singular integrals in BEM be replaced by Zero?
- 50/2003 - Hierarchical Quadrature of Singular Integrals

**Singular nonlinear boundary value problems****singular perturbation****singular perturbations****Singular Perturbations**- 31/2007 - Convergence of phase-field approximations to the Gibbs-Thomson law

**singular point**- 55/2000 - On the number of singular points of weak solutions to the Navier-Stokes equations

**singular potential term**- 87/2013 - Lower bounds of Dirichlet eigenvalues for degenerate elliptic operators and degenerate Schrödinger operators

**singular solutions**- 7/2007 - Singular solutions for the Uehling-Uhlenbeck equation

**singular value decomposition****singularities**- 48/2000 - On self-similar singular solutions of the complex Ginzburg-Landau equation

**singularity**- 1/2016 - A global weak solution of the Dirac-harmonic map flow

**singularly perturbed problems**- 78/2005 - On the numerical solution of convection-dominated problems using hierarchical matrices

**skew product**- 107/2014 - Shadowing in linear skew product

**skew Tsankov manifold**- 96/2006 - The global geometry of Riemannian manifolds with commuting curvature operators

**skin problem**- 95/2006 - Domain decomposition based -matrix preconditioners for the skin problem

**slinky effects**- 71/2015 - Stability analysis of a constant time-headway driving strategy with driver memory effects modeled with distributed delays

**slip condition**- 74/2000 - Droplet spreading: intermediate scaling law by PDE methods

**slippage**- 38/2012 - Coarsening rates for the dynamics of slipping droplets

**SLOCC**- 22/2008 - Classification of Bipartite and Tripartite Qutrit Entanglement under SLOCC

**Slodowy correspondence**- 80/2006 - Notes on Coxeter Transformations and the McKay correspondence

**slow manifolds****slow-fast dynamics**- 50/2009 - Scaling in singular perturbation problems: blowing-up a relaxation oscillator

**slow-fast system**- 43/2009 - Geometric singular perturbation analysis of an autocatalator model

**Small world network**- 113/2013 - Structure properties of evolutionary spatially embedded networks

**Smith normal form**- 43/2017 - Positive Semidefinite Univariate Matrix Polynomials

**smooth four-manifolds**- 30/2009 - On the orders of periodic symplectomorphisms of 4-manifolds

**smoothing**- 151/2006 - Sampling Inequalities for Infinitely Smooth Functions, with Applications to Interpolation and Machine Learning

**Smoothness and regularity of solutions****snow aking operator**- 65/2014 - Metric Curvature Revisited - A Brief Overview

**sobolev embedding theorem**- 12/2003 - -quasiconvexity: weak-star convergence and the gap

**Sobolev homeomorphism**- 34/2015 - Residually many BV homeomorphisms map a null set in a set of full measure

**sobolev inequality****Sobolev metric**- 86/2007 - Euler-Poincar\'e Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems

**Sobolev norm**- 50/2008 - Geodesic Flow on Extended Bott-Virasoro Group and Generalized Two Component Peakon Type Dual Systems

**Sobolev regularity**- 50/2012 - Degenerate-elliptic operators in mathematical finance and higher-order regularity for solutions to variational equations

**Sobolev space**- 152/2006 - Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods

**sobolev space with respect to a measure**- 7/1999 - Lower semicontinuity in spaces of weakly differentiable functions

**sobolev spaces**- 41/2005 - Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations

**sobolev spaces of mappings**- 41/2003 - On the Sobolev space of isometric immersions

**Sobolev-type inequality**- 22/2007 - A Sobolev-type inequality with applications

**social learning**- 12/2013 - Group level effects of social versus individual learning

**sofic groups**- 33/2014 - Weak Expansiveness for Actions of Sofic Groups

**soft-plus network**- 27/2016 - Hierarchical Models as Marginals of Hierarchical Models

**solenoid**- 3/2005 - Almost-holomorphic and totally real solenoids in complex surfaces

**solid-solid phase transitions**- 71/1999 - Optimal existence theorems for nonhomogeneous differential inclusions

**soliton**- 39/2003 - Stability of Gradient K\"ahler-Ricci Solitons

**soliton equations**- 1/2005 - Oscillatory Solutions of Soliton Equations; Phase Transitions and Variational Problems

**solitons**- 134/2006 - Cylindrical KP revisited

**solution chemistry**- 20/2008 - Hydration of ionic species studied by the reference interaction site model with a repulsive bridge correction

**solution of linear systems**- 19/2011 - Solution of linear systems and matrix inversion in the TT-format

**solvable group**- 12/2014 - Shadowing for actions of some finitely generated groups.

**solvable lie groups**- 79/2005 - Differentiable L
^{p}-functional calculus for certain sums of non-commuting operators

- 79/2005 - Differentiable L
**solving polynomial systems**- 54/2019 - Solving p-adic Polynomial Systems via Iterative Eigenvector Algorithms.

**Solvophobic effects**- 49/2014 - On conformational behavior of solvophobic polymer at high pressures

**source reconstruction**- 95/2007 - A highly accurate full subtraction approach for dipole modelling in EEG source analysis using the finite element method
- 47/2007 - Numerical mathematics for the modeling of a current dipole in EEG source reconstruction using finite element head models
- 90/2003 - Efficient Computation of Lead Field Bases and Influence Matrix for the FEM-based EEG and MEG Inverse Problem. Part I: Complexity Considerations

**space sextic**- 39/2018 - Tritangents and Their Space Sextics

**space-time energy minimizers**- 34/2006 - Remarks on the variational nature of the heat equation and of mean curvature flow

**spaces of holomorphic differentials**- 46/2004 - Tau-functions on spaces of Abelian and quadratic differentials and determinants of Laplacians in Strebel metrics of finite volume

**spacetime symmetries**- 23/2001 - Gauge theories of spacetime symmetries

**spanning tree****sparse coding****sparse Fourier transform**- 18/2011 - Superfast Fourier transform using QTT approximation

**sparse grids**- 18/2000 - The efficient computation of scalar products of certain antisymmetric functions

**sparse matrices****spatial discretisation**- 35/2015 - Recent Advances in Reaction-Diffusion Equations with Non-Ideal Relays

**Spatial Model**- 32/2006 - Computation of spiking activity for a stochastic spatial neuron model: effects of spatial distribution of input on bimodality and CV of the ISI distribution

**spatial patterns**- 114/2002 - How do tumors grow in-vitro?

**Spatial Property**- 114/2013 - The Scaling of Several Public Transport Networks in China

**Spatially discrete parabolic equations**- 10/2016 - Rattling in spatially discrete diffusion equations with hysteresis

**spatially distributed hysteresis****spatio-temporal pattern formation**- 54/2003 - Stability and bifurcations in neural fields with axonal delay and general connectivity

**spatio-temporal patterns**- 31/2005 - Neural fields with distributed transmission speeds and corticothalamic feedback delays

**spatio-temporal receptive fields**- 26/2001 - Dynamic approximation of spatio-temporal receptive fields in nonlinear neural field models

**SPDE**- 77/2009 - Inhibition of repetitive activity by weak noise in the spatial Hodgkin-Huxley system

**Special and General Relativity**- 25/2007 - Stability of shock waves in special and general relativity.

**special geometry**- 63/1999 - Special complex manifolds

**special kähler manifolds**- 63/1999 - Special complex manifolds

**special Lagrangian**- 80/2007 - A Brief Note on Special Lagrangian Submanifolds in ℝ
^{2n}

- 80/2007 - A Brief Note on Special Lagrangian Submanifolds in ℝ
**Specialized Optimization Algorithms**- 105/2014 - A Generic Algorithmic Framework to Solve Special Versions of the Set Partitioning Problem

**spectra****spectral analysis**- 57/2000 - Heat trace asymptotics of a time dependent process

**spectral boundary conditions****spectral convergence**- 15/2003 - On the Γ-Convergence of Discrete Dynamics and Variational Integrators

**Spectral element**- 34/2010 - Nonconforming least-squares method for elliptic partial differential equations with smooth interfaces

**spectral flow**- 55/2003 - The Morse index theorem for regular Lagrangian systems

**spectral gap****spectral geometry**- 57/2000 - Heat trace asymptotics of a time dependent process

**spectral methods**- 11/2005 - Eigenfrequencies of fractal drums

**spectral multiplier**- 79/2005 - Differentiable L
^{p}-functional calculus for certain sums of non-commuting operators

- 79/2005 - Differentiable L
**spectral problems**- 79/2009 - Quantics-TT Approximation of Elliptic Solution Operators in Higher Dimensions

**spectral stability**- 23/2007 - Spectral stability of post-fertilization traveling waves

**spectrum**- 62/2015 - On the interconnection between the higher-order singular values of real tensors

**speed estimates**- 21/2003 - Travelling wave solutions in a model for filtration combustion

**sphere theorem**- 96/2003 - Application of The Method of Moving Planes to Conformally Invariant Equations

**spheres**- 39/2001 - Harmonic Hopf constructions between spheres II

**spike timing dependent plasticity**- 26/2010 - STDP-driven networks and the \emph{C. elegans} neuronal network

**spiking neuron**- 87/2004 - Time to first spike in stochastic Hodgkin-Huxley systems

**Spin models**- 59/2013 - Computation of extreme eigenvalues in higher dimensions using block tensor train format

**Spin Structures**- 49/2006 - On Spin Structures and Dirac Operators on the Noncommutative Torus

**Spin system****spinor field**- 122/2005 - Super-Liouville Equations on Closed Riemann Surfaces

**Splitting scheme**- 24/2012 - Efficient time-stepping scheme for dynamics on TT-manifolds

**spontaneous symmetry breaking**- 24/2005 - Gauge Theories of Dirac Type

**Spreading depression**- 79/2010 - Stochastic modeling of spreading cortical depression

**stabilisation**- 56/2019 - Measuring the local non-convexity of real algebraic curves

**stability**- 20/2016 - On the delay margin for consensus in directed networks of anticipatory agents
- 71/2015 - Stability analysis of a constant time-headway driving strategy with driver memory effects modeled with distributed delays
- 77/2014 - Well-Posedness and Self-Similar Asymptotics for a Thin-Film Equation
- 104/2013 - Spatially structured networks of pulse-coupled phase oscillators on metric spaces
- 5/2013 - Stationary states in infinite networks of spiking oscillators with noise
- 56/2011 - Stability result for abstract evolution problems
- 50/2011 - Stability of solutions to abstract evolution equations with delay
- 32/2011 - On delay-induced stability in diffusively coupled discrete-time systems
- 32/2007 - Delayed feedback control near Hopf bifurcation
- 23/2006 - Stability of coupled map networks with delays
- 5/2006 - Stability of Calderón inverse Conductivity Problem in the plane
- 116/2005 - Sparse Convolution Quadrature for Time Domain Boundary Integral Formulations of the Wave Equation
- 15/2004 - Oscillator death in coupled functional differential equations near Hopf bifurcation
- 76/2003 - Stability in a ball-partition problem
- 39/2003 - Stability of Gradient K\"ahler-Ricci Solitons
- 23/2003 - Distributed delays facilitate amplitude death of coupled oscillators
- 89/2002 - Total and partial amplitude death in networks of diffusively coupled oscillators
- 69/1999 - Liquid bridges, edge blobs, and Scherk-type capillary surfaces

**stability conjecture****stability of solutions**- 27/2015 - Relaxation rates for a perturbation of a stationary solution to the thin-film equation

**stability properties**- 41/2011 - Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian

**stability theory**- 64/2015 - On the regularity of lumped nonlinear dynamics in Banach spaces

**Stability, Shock Waves,**- 25/2007 - Stability of shock waves in special and general relativity.

**stabilization**- 84/2011 - Stabilization of a degenerate minimization problem with the simple-layer potential

**stable forms**- 59/2007 - Manifolds admitting stable forms

**staged tree models**- 33/2017 - Discovery of statistical equivalence classes using computer algebra

**Staged TRees**- 21/2018 - Equations defining probability tree models

**Standard approach**- 71/2009 - Efficient multi-scale computation of products of orbitals in electronic structure calculations

**Standard Model**- 21/2006 - Dirac Type Gauge Theories and the Mass of the Higgs Boson

**standard model of particle physics**- 51/2006 - An essay on the spectral action and its relation to quantum gravity

**standing wave**- 62/2016 - Wavenumber selection in coupled transport equations

**star discrepancy**- 21/2007 - Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy

**star domain**- 56/2019 - Measuring the local non-convexity of real algebraic curves

**star vector fields**- 48/2014 - Oriented shadowing property and Ω-stability for vector fields

**stationary distribution**- 45/2018 - Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model

**stationary distributions**- 58/2016 - Ergodicity of scalar stochastic differential equations with Hoelder continuous coeffcients

**stationary points****stationary solution**- 64/2017 - Partial Regularity for a Nonlinear Sigma Model with Gravitino in Higher Dimensions

**stationary state****statistical complexity**- 24/2009 - Properties of the Statistical Complexity Functional and Partially Deterministic HMMs

**Statistical dependencies**- 81/2013 - Inhomogeneous Parsimonious Markov Models

**statistical manifold**- 13/2019 - Wasserstein of Wasserstein Loss for Learning Generative Models

**statistical manifolds**- 77/2003 - C
^{1}-statistical manifolds are statistical models

- 77/2003 - C
**Statistical mechanics**- 36/2014 - A Statistical Theory of co-solvent-induced coil-globule transitions in dilute polymer solution

**statistical model**- 43/2019 - Probabilistic Mappings and Bayesian Nonparametrics

**statistical physics**- 157/2006 - Lectures on statistical physics

**stattistical models**- 77/2003 - C
^{1}-statistical manifolds are statistical models

- 77/2003 - C
**steady state analysis**- 3/2003 - From 1970 until present: the Keller-Segel model in chemotaxis and its consequences

**Steenrod algebra**- 131/2006 - On realizations of the Steenrod algebras

**steepest descent**- 36/2013 - Alternating minimal energy methods for linear systems in higher dimensions. Part II: Faster algorithm and application to nonsymmetric systems
- 10/2013 - Alternating minimal energy methods for linear systems in higher dimensions. Part I: SPD systems
- 13/2005 - On the Method of Steepest Descent

**Stefan problem**- 24/2007 - Travelling-wave analysis of a model describing tissue degradation by bacteria

**steiner symmetrization**- 41/2002 - The perimeter inequality for Steiner symmetrization: cases of equality

**Steiner tree problem**- 58/2013 - The Steiner tree problem revisited through rectifiable G-currents

**Steklov eigenfunctions**- 19/2014 - Nodal Sets of Steklov Eigenfunctions

**stiffness matrix**- 35/2016 - Low Rank Tensor Methods in Galerkin-based Isogeometric Analysis

**stimulus response**- 91/2003 - Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay

**stochastic**- 60/2007 - Nonlinear effects in white-noise driven spatial diffusion: general analytical results

**Stochastic analysis**- 13/2012 - Analysis of inverse stochastic resonance and long-term firing in Hodgkin-Huxley neurons

**stochastic control**- 15/2006 - An Analytic Approach to Purely Nonlocal Bellman Equations Arising in Models of Stochastic Control

**Stochastic correlation**- 30/2018 - Bimonoidal Structure of Probability Monads

**stochastic diffusion processes**- 64/2013 - Averaging via Dirichlet Forms

**stochastic dominance****stochastic elliptic PDEs**- 37/2010 - Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs

**stochastic feedforward network**- 23/2015 - Universal Approximation of Markov Kernels by Shallow Stochastic Feedforward Networks

**stochastic galerkin**- 59/2014 - Computation of the Response Surface in the Tensor Train data format

**stochastic homogenization**- 47/2017 - A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element
- 47/2016 - A Liouville theorem for elliptic systems with degenerate ergodic coefficients
- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- 45/2016 - Exit Laws of Isotropic Diffusions in Random Environment from Large Domains
- 13/2015 - On annealed elliptic Green function estimates
- 71/2014 - Moment bounds on the corrector of stochastic homogenization of non-symmetric elliptic finite difference equations
- 91/2013 - Quantification of ergodicity in stochastic homogenization: Optimal bounds via spectral gap on Glauber dynamics
- 41/2013 - An optimal quantitative two-scale expansion in stochastic homogenization of discrete elliptic equations
- 3/2013 - Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version
- 69/2012 - Annealed estimates on the Green's function
- 28/2010 - An optimal error estimate in stochastic homogenization of discrete elliptic equations
- 14/2007 - Sharp-interface limit of a mesoscopic free energy with a random external field
- 25/2002 - On first-order corrections to the LSW-theory

**Stochastic Initial Values**- 12/2012 - Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in ϕ
^{4}Theory

- 12/2012 - Bosonic Loop Diagrams as Perturbative Solutions of the Classical Field Equations in ϕ
**stochastic interaction****stochastic mean curvature flow**- 70/2000 - A stochastic selection principle in case of fattening for curvature flow

**stochastic model****stochastic modeling**- 55/2009 - O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling

**Stochastic neuron**- 32/2006 - Computation of spiking activity for a stochastic spatial neuron model: effects of spatial distribution of input on bimodality and CV of the ISI distribution

**stochastic order****stochastic PDEs**- 108/2014 - Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications
- 28/2012 - Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats
- 32/2010 - The effects of various spatial distributions of weak noise on rhythmic spiking
- 21/2010 - Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances
- 9/2010 - Tensor-Structured Galerkin Approximation of parametric and stochastic Elliptic PDEs

**stochastic processes**- 79/2010 - Stochastic modeling of spreading cortical depression
- 32/2010 - The effects of various spatial distributions of weak noise on rhythmic spiking
- 2/2010 - Effective complexity of stationary process realizations
- 11/2009 - Moment analysis of the Hodgkin-Huxley system with additive noise
- 6/2009 - Inverse stochastic resonance in neuronal models: modulation and inhibition of rhythmic spiking by noise
- 54/2006 - Stochastic Dynamics of Viral Transmission

**stochastic stability****stochastic volatility process**- 22/2013 - A classical Perron method for existence of smooth solutions to boundary value and obstacle problems for degenerate-elliptic operators via holomorphic maps

**Stokes equation****Stokes equations**- 57/2016 - Limitations of the background field method applied to Rayleigh-Bénard convection

**Stokes operator****Stokes, Oseen, and Navier--Stokes problems**- 50/2014 - Estimates of the Distance to the Set of Divergence Free Fields and Applications to Quantitative Analysis of Incompressible Fluids

**Strategic Market Games**- 38/2017 - Bidding with Coordination Risks

**Strategic Uncertainty**- 38/2017 - Bidding with Coordination Risks

**stratification**- 100/2013 - On the building dimension of closed cones and Almgren’s stratification principle.

**stratified sets**- 84/2003 - Stratified Morse Theory with Tangential Conditions

**stratified spaces**- 24/2004 - On hyperbolic vectorfields on stratified spaces

**Stress concentration**- 37/2006 - Elastic energy stored in a crystal induced by screw dislocations: from discrete to continuum

**stress regularity**- 9/2002 - Local stress regularity in scalar non-convex variational problems

**strict convexity**- 2/2008 - Strict convexity of the free energy for non-convex gradient models at moderate β

**strict local minimum**- 56/2019 - Measuring the local non-convexity of real algebraic curves

**string theory**- 45/2004 - Chern Simons and String Theory

**strings**- 94/2002 - Non-existence of a dilaton gravity action for the exact string black hole

**stringy Lie superalgebra**- 156/2006 - On Critical Dimensions of String Theories

**strong ellipticity**- 73/2003 - Strong ellipticity and spectral properties of chiral bag boundary conditions

**Strong maximum principle**- 6/2008 - Some remarks on the strong maximum principle arising in nonlocal operators

**strong slippage**- 66/2010 - Weak solutions to lubrication equations in the presence of strong slippage

**Structural and Semantical Constraints**- 105/2014 - A Generic Algorithmic Framework to Solve Special Versions of the Set Partitioning Problem

**structural stability**- 43/2014 - An example of a vector field with the oriented shadowing property
- 106/2013 - Hölder Shadowing on Finite Intervals
- 83/2007 - Entropy, dimension, and state mixing in a class of time-delayed dynamical systems
- 93/2005 - Structural stability and hyperbolicity violation in high-dimensional dynamical systems

**structure from motion**- 59/2003 - Structure from Motion: a New Look from the Point of View of Invariant Theory.

**structured eigensolvers**- 14/2016 - Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation

**structured matrices****sturm-liouville problems**- 57/2003 - Functional determinants by contour integration methods

**subgroup distortion**- 62/2012 - Linear and Projective Boundaries in HNN-Extensions and Distortion Phenomena

**sublinear growth**- 106/2013 - Hölder Shadowing on Finite Intervals

**subtraction method**- 47/2007 - Numerical mathematics for the modeling of a current dipole in EEG source reconstruction using finite element head models

**sufficiency bounds**- 23/2015 - Universal Approximation of Markov Kernels by Shallow Stochastic Feedforward Networks

**sufficient statistic**- 69/2015 - Parametrized measure models

**suitable weak solutions**- 92/2001 - On solutions to the Navier-Stokes equations with lower bounds on pressure

**sum of squares****summation of electrostatic potentials**- 39/2016 - Range-separated tensor formats for numerical modeling of many-particle interaction potentials

**sums of squares**- 86/2019 - An SOS counterexample to an inequality of symmetric functions

**super KdV**- 88/2007 - Supersymmetric Kuper Camassa-Holm Equation and Geodesic Flow : A Novel Approach

**Super Riemann surfaces**- 83/2015 - The functional of super Riemann surfaces – a “semi-classical” survey

**Super-Liouville equation**- 80/2019 - Energy quantization for a singular super-Liouville boundary value problem

**super-liouville equations**- 122/2005 - Super-Liouville Equations on Closed Riemann Surfaces

**super-Toda system**- 63/2017 - The super-Toda system and bubbling of spinors

**supercurrent****superfast algorithms****superintegrability**- 89/2007 - Quasi-Hamiltonian structure and Hojman construction II: Nambu Mechanics and Nambu-Poisson structures

**superpostions**- 53/2012 - Improved bounds on negativity of superpositions

**superstring**- 22/2001 - Superstring BRST cohomology

**Supersymmetric nonlinear sigma model**- 41/2018 - Geometric analysis of a mixed elliptic-parabolic conformally invariant boundary value problem
- 35/2017 - Existence of solutions of a mixed elliptic-parabolic boundary value problem coupling a harmonic-like map with a nonlinear spinor
- 25/2017 - Regularity of Dirac-harmonic maps with λ−curvature term in higher dimensions

**supersymmetry**- 83/2015 - The functional of super Riemann surfaces – a “semi-classical” survey
- 88/2007 - Supersymmetric Kuper Camassa-Holm Equation and Geodesic Flow : A Novel Approach
- 105/2002 - Extended BRST cohomology, consistent deformations and anomalies of four-dimensional supersymmetric gauge theories
- 56/2000 - Hidden symmetries of supersymmetric
*p*-form gauge theories

**support function**- 1/2003 - Convexity of the Joint Numerical Range: Topological and Differential Geometric Viewpoints

**support sets****supremal functionals**- 6/2005 - From 1-homogeneous supremal functionals to difference quotients: relaxation and Γ-convergence

**surface energy****surface geometry**- 11/2008 - Polarized Hessian Covariant: Contribution to Pattern Formation in the Föppl-von Kármán Shell Equations

**surface tension**- 96/2013 - Attractions and Repulsions of Parallel Plates Partially Immersed in a Liquid Bath: III
- 72/2010 - Occlusion Criteria in Tubes under Transverse Body Forces
- 76/2009 - The rise and demise of the Young surface tension diagram; a final celebration and respectful farewell
- 75/2009 - Occlusion in fluid conducting tubes transverse to a gravity field (new expanded version)
- 74/2009 - On Young's Paradox, and the Attractions of Immersed Parallel Plates
- 73/2009 - Floating criteria in three dimensions
- 75/2008 - Floating and sinking of needles, nails and disks
- 2/2008 - Strict convexity of the free energy for non-convex gradient models at moderate β
- 104/2007 - Criteria for Floating I
- 153/2006 - The Floating Ball Paradox
- 117/2006 - On the Notion of Generalized Solutions of Viscous Incompressible Two-Phase Flows
- 120/2005 - On Generalized Solutions of Two-Phase Flows for Viscous Incompressible Fluids
- 87/2000 - Some unusual comparsion properties of capillary surfaces

**surfaces**- 49/2010 - On almost Poisson commutativity in dimension two

**SVD**- 27/2009 - Hierarchical Singular Value Decomposition of Tensors

**Switching network topology**- 30/2011 - Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays

**sylvester equation**- 48/2004 - A Multigrid Method to Solve Large Scale Sylvester Equations

**Symbolic Dynamics**- 31/2011 - Complex transitions to synchronization in delay-coupled networks of logistic maps
- 40/2006 - Symbolic synchronization and the detection of global properties of coupled dynamics from local information.
- 39/2006 - Detection of synchronised chaos in coupled map networks using symbolic dynamics.

**Symmetric edge polytope**- 59/2018 - Arithmetic aspects of symmetric edge polytopes

**symmetric functions****symmetric spaces**- 22/2005 - New examples of indefinite hyper-K\"ahler symmetric spaces

**symmetric tensors**- 72/2016 - On the Representation of Symmetric and Antisymmetric Tensors

**symmetrised distribution**- 93/2007 - About large deviations for empirical path measures of cycle counts of integer partitions and their relation to systems of Bosons
- 13/2007 - Large deviations for empirical path measures in cycles of integer partitions
- 36/2006 - Large deviations for many Brownian bridges with symmetrised initial-terminal condition

**symmetry****Symmetry reduction**- 53/2014 - Costratification in terms of coherent states

**symplectic**- 30/2009 - On the orders of periodic symplectomorphisms of 4-manifolds

**symplectic 3-forms**- 71/2006 - The existence of symplectic 3-forms on 7-manifolds

**symplectic field theory****symplectic group**- 36/2007 - Hopf Algebra Structure of the Character Rings of Orthogonal and Symplectic Groups

**symplectic homogenization**- 50/2010 - A comparison of symplectic homogenization and Calabi quasi-states

**symplectic k theory**- 83/2002 - The eta invariant and the real connective K-theory of the classifying space for quaternion groups

**symplectic manifolds**- 16/2009 - The Seidel morphism of cartesian products

**symplectic reduction****symplectic submanifold**- 61/2004 - Realizing homology classses by symplectic submanifolds

**synaptic connectivity**- 71/2005 - Analysis of nonlocal neural fields for both general and gamma-distributed connectivities

**synaptic connectivity kernel**- 91/2003 - Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay

**synaptic input**- 88/2004 - On the possible use of ICA to identify synaptic inputs from observations of several neurons

**synaptic networks**- 31/2005 - Neural fields with distributed transmission speeds and corticothalamic feedback delays

**synchronization**- 72/2015 - A delayed consensus algorithm in networks of anticipatory agents
- 110/2014 - On the duality between consensus problems and Markov processes, with application to delay systems
- 6/2013 - The consensus problem in networks with transmission delays
- 32/2011 - On delay-induced stability in diffusively coupled discrete-time systems
- 30/2011 - Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays
- 24/2010 - Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays
- 46/2009 - Synchronized chaos in networks of simple units
- 33/2008 - Clustered chimera states in delay-coupled oscillator systems
- 48/2007 - Synchronization of discrete-time dynamical networks with time-varying couplings
- 40/2007 - Adaptive dynamical networks via neighborhood information: synchronization and pinning control
- 118/2006 - Network synchronization: Spectral versus statistical properties
- 112/2006 - Global synchronization of discrete time dynamical network with a directed graph
- 55/2006 - Cortical network modeling: analytical methods for firing rates and some properties of networks of LIF neurons
- 40/2006 - Symbolic synchronization and the detection of global properties of coupled dynamics from local information.
- 39/2006 - Detection of synchronised chaos in coupled map networks using symbolic dynamics.
- 23/2006 - Stability of coupled map networks with delays
- 97/2004 - Graph operations and synchronization of complex networks
- 60/2004 - Global Analysis of Synchronization in Coupled Maps
- 39/2004 - Synchronization of networks with prescribed degree distributions
- 101/2003 - Delays, connection topology, and synchronization of coupled chaotic maps

**Synchronization space**- 66/2006 - Synchronization analysis of linearly coupled systems described by differential equations with a coupling delay

**synchrony**- 104/2013 - Spatially structured networks of pulse-coupled phase oscillators on metric spaces

**synergy****synthetic cell**- 91/2002 - Proto-Organism Kinetics: Evolutionary Dynamics of Lipid Aggregates with Genes and Metabolism

**Systems Biology**- 19/2010 - Challenges in experimental data integration within genome-scale metabolic models

**systems of Bosons**- 36/2006 - Large deviations for many Brownian bridges with symmetrised initial-terminal condition

**systems of linear equations**- 72/2003 - Multi-Grid Methods for FEM and BEM Applications

**systems of nonlinear equations**- 72/2003 - Multi-Grid Methods for FEM and BEM Applications

**szabo manifold**- 57/2005 - Generalized plane wave manifolds

**szabo operator**- 96/2002 - Nilpotent Szabo Osserman and Ivanov-Petrova Pseudo-Riemannian Manifolds

**szabo tensor**- 97/2002 - Jordan Szabo algebraic covariant derivative curvature tensors