Keyword index R

  • R-core

    • 28/2011 - Relations Between Graphs

  • R-retraction

    • 28/2011 - Relations Between Graphs

  • Rademacher theorem

    • 78/2014 - On the differentiability of Lipschitz functions with respect to measures in the Euclidean space

  • radial basis functions

    • 152/2006 - Deterministic Error Analysis of Support Vector Regression and Related Regularized Kernel Methods
    • 151/2006 - Sampling Inequalities for Infinitely Smooth Functions, with Applications to Interpolation and Machine Learning

  • radial variation

  • radiosity

  • radon-nikodym decomposition theorem

    • 12/2003 - A-quasiconvexity: weak-star convergence and the gap

  • radon-nikodyn theorem

    • 8/1998 - 3D-2D asymptotic analysis of an optimal design problem for thin films

  • Ramanujan differential equation

    • 87/2007 - Ramanujan Eisenstein Series, Fa\'a di Bruno Polynomials and Integrable Systems

  • Ramanujan's differential equation

    • 49/2008 - Riccati Chain, Ramanujan's Differential Equations For Eisenstein Series and Chazy Flows

  • ramsey theory

    • 1/2006 - Discrepancy of Symmetric Products of Hypergraphs

  • random diffeomorphisms

    • 49/2012 - Representation of Markov chains by random maps: existence and regularity conditions

  • random dynamical systems

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

  • random dynamics

    • 49/2012 - Representation of Markov chains by random maps: existence and regularity conditions

  • random fields

    • 81/2008 - Application of hierarchical matrices for computing the Karhunen-Lo\`eve expansion
    • 95/2001 - Information geometry on complexity and stochastic interaction
    • 54/2001 - Locality of global stochastic interaction in directed acyclic networks

  • Random functionals

    • 14/2007 - Sharp-interface limit of a mesoscopic free energy with a random external field

  • random genetic drift

    • 61/2014 - A hierarchical extension scheme for solutions of the Wright–Fisher model
    • 60/2014 - A hierarchical extension scheme for backward solutions of the Wright–Fisher model

  • random graphs

    • 61/2011 - Random Graphs with Motifs

  • random maps

    • 49/2012 - Representation of Markov chains by random maps: existence and regularity conditions

  • random matrices

    • 94/2005 - Probability of local bifurcation type from a fixed point: a random matrix perspective

  • Random matrix theory

    • 46/2011 - On the Application of the Cross-Correlations in the Chinese Fund Market: Descriptive Properties and Scaling Behaviors
    • 74/2006 - Stochasticity in complex networks: a random matrix analysis

  • random media

    • 11/2015 - Correlation structure of the corrector in stochastic homogenization

  • random neural activity

    • 55/2006 - Cortical network modeling: analytical methods for firing rates and some properties of networks of LIF neurons

  • random perturbation

    • 35/2012 - Effects of bounded random perturbations on discrete dynamical systems
    • 8/2011 - Stability of the global attractor under Markov-Wasserstein noise

  • random perturbation of Nonhyperbolic dynamics

    • 58/2010 - Random fluctuation leads to forbidden escape of particles

  • random time change

    • 71/2000 - Mesoscopic limit for non-isothermal phase transition

  • random walk

    • 25/2011 - Ollivier-Ricci curvature and the spectrum of the normalized graph Laplace operator

  • random walk in a random environment

    • 33/2009 - Bounds on the speed and on regeneration times for certain processes on regular trees

  • Randomly perturbed dynamics

    • 62/2010 - Escape from attracting sets in randomly perturbed systems

  • range condition

    • 42/2013 (Lecture note) - Large Deviations for Stochastic Processes

  • range of derivative

    • 64/2002 - The set of gradients of a bump

  • rank structured tensor approximation

    • 21/2010 - Tensors-structured Numerical Methods in Scientific Computing: Survey on Recent Advances
    • 55/2009 - O(dlog N)-Quantics Approximation of N-d Tensors in High-Dimensional Numerical Modeling

  • rank-1 convexity

    • 47/2001 - Quasiconvex hulls in symmetric matrices
    • 1/1999 - On Conditions for Polyconvexity

  • rank-one and quasiconvexity

    • 34/2000 - Stability of quasiconvex hulls and deformations with finitely many gradients

  • rank-one connection

    • 35/2000 - Rigidity for the four gradient problem

  • rank-one connection and rigidity

    • 16/2003 (Lecture note) - Rigidity and Geometry of Microstructures

  • rank-one convex hull

    • 94/2003 - Algebraic detection of Tk-configurations

  • rank-one convexity

    • 69/2003 - Rank-One Convex Hulls in 2×2
    • 39/1999 - Bauer's maximum principle and hulls of sets

  • Rank-Two Mixed States

    • 67/2007 - Local Equivalence of Rank-Two Quantum Mixed States

  • rankine-hugoniot conditions

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

  • rate functional

    • 5/2005 - Instability of interface under forced displacements

  • Rate-independent problems

    • 101/2007 - On the inviscid limit of a model for crack propagation

  • rate-independent processes

    • 14/2009 - Quasistatic delamination problem

  • rational functions

    • 3/2009 - On the Efficient Computation of High-Dimensional Integrals and the Approximation by Exponential Sums

  • rational maps

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

  • rational points

    • 8/2002 - Affine diffeomorphisms of translation surfaces: Periodic points, Fuchsian groups, and arithmeticity

  • rattling

    • 25/2015 - Spatially discrete reaction-diffusion equations with discontinuous hysteresis

  • Rayleigh-B\'enard convection

    • 116/2014 - Upper bounds on Nusselt number at finite Prandtl number

  • Rayleigh-Benard convection

    • 6/2011 - Rayleigh--B\'enard convection: Improved bounds on the Nusselt number

  • reaction diffusion

    • 21/2005 - Large Convection Limits for KPP Fronts
    • 42/2004 - Travelling fronts in pressure-driven combustion

  • reaction-diffusion

    • 50/2005 - Pinning and De-Pinning Phenomena in Front Propagation in Heterogeneous Media
    • 97/2003 - Reaction-Diffusion in Nonsmooth and Closed Domains

  • reaction-diffusion equations

    • 88/2005 - Traveling wave speeds in rapidly oscillating media

  • reaction-diffusion system

    • 24/2007 - Travelling-wave analysis of a model describing tissue degradation by bacteria
    • 22/2003 - Singular limit of a degenerate chemotaxis-Fisher equation

  • reaction-diffusion-system

    • 21/2003 - Travelling wave solutions in a model for filtration combustion

  • reaction-diffution equation

    • 1/2004 - Traveling wave speeds of nonlocally perturbed reaction diffusion equations

  • reaction-diffusion equations

    • 94/2013 - Systems of reaction-diffusion equations with spatially distributed hysteresis

  • real connective k theory

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

  • receptive field reconstruction

    • 26/2001 - Dynamic approximation of spatio-temporal receptive fields in nonlinear neural field models
    • 15/2001 - Nonlinear analysis of spatio-temporal receptive fields:
      III. RF-reconstruction from mean-field approximations

  • receptive fields

    • 10/2001 - Nonlinear analysis of spatio-temporal receptive fields:
      I. Dynamic approximation method

  • reciprocity

    • 90/2003 - Efficient Computation of Lead Field Bases and Influence Matrix for the FEM-based EEG and MEG Inverse Problem. Part I: Complexity Considerations

  • rectiable currents

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

  • rectifiability

    • 95/2002 - Structure of entropy solutions for multi--dimensional scalar conservation laws
    • 47/2002 - Structure of entropy solutions: applications to variational problems
    • 29/2002 - Stationary measures and rectifiability

  • rectifiablity

    • 116/2002 - On the rectifiability of defect measures arising in a micromagnetics model

  • rectifiablity, stationarity

    • 56/2002 - Regularity and blow-up analysis for J-holomorphic maps

  • rectifier

    • 73/2014 - On the Number of Linear Regions of Deep Neural Networks

  • rectifier unit

    • 72/2014 - On the number of response regions of deep feedforward networks with piecewise linear activations

  • reduced basis

    • 32/2015 - A reduced basis approach for calculation of the Bethe-Salpeter excitation energies using low-rank tensor factorizations

  • reduced higher order SVD

    • 29/2012 - Tensor-structured factorized calculation of two-electron integrals in a general basis

  • reduced model

    • 33/2012 - A reduced model for domain walls in soft ferromagnetic films at the cross-over from symmetric to asymmetric wall types.

  • reduction

    • 51/2007 - Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method.

  • referential choice

    • 50/2002 - Referential Choice and Activation Factors: A Neural Network Approach

  • Refined grid

    • 53/2009 - On the efficient convolution with the Newton potential

  • regeneration times

    • 33/2009 - Bounds on the speed and on regeneration times for certain processes on regular trees

  • regular lagrangian system

    • 55/2003 - The Morse index theorem for regular Lagrangian systems

  • regular variation

    • 62/2003 - Approach to self-similarity in Smoluchowski's coagulation equations

  • regularity

    • 69/2011 - The boundary value problem for Dirac-harmonic maps
    • 32/2008 - Regularity for weakly Dirac-harmonic maps to hypersurfaces
    • 106/2007 - Regularity of domain walls in magnetic nanowires
    • 42/2007 - Nonlinear Dirac equations on Riemann surfaces
    • 120/2006 - C1 Regularity for Solutions to the p-Harmonic thin Obstacle Problem.
    • 4/2004 - Regularity properties of isometric immersions
    • 68/2003 - On the regularity of critical points of polyconvex functionals
    • 11/2003 - Parabolic systems with nowhere smooth solutions
    • 107/2002 - An ϵ-regularity result for generalized harmonic maps into spheres
    • 106/2002 - A short proof of the self-improving regularity of quasiregular mappings.
    • 26/2002 - Partial regularity for the Landau-Lifshitz equation in small dimensions

  • regularity of solutions

    • 47/2012 - Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
    • 41/2012 - ϵ-regularity for systems involving non-local, antisymmetric operators

  • Regularity of the free boundary

    • 16/2015 - An epiperimetric inequality for the thin obstacle problem

  • regularization

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

  • regularization of nonconvex problems

    • 43/2002 - Application of a result of Ioffe/Tichomirov to multidimensional control problems of Dieudonn\'e-Rashevsky type

  • regularization of potentials

    • 53/2006 - About solutions of Poisson's equation with transition condition in non-smooth domains

  • regularized Newton method

    • 78/2010 - A Regularized Newton method for the Efficient Approximation of Tensors Represented in the Canonical Tensor Format

  • Reilly's formula

    • 54/2014 - A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality

  • Reinforcement Learning

    • 60/2013 - Information-driven intrinsic motivation in reinforcement learning
    • 13/2013 - Reinforcement Learning in Complementarity Game and Population Dynamics

  • relative entropy

    • 75/2011 - Information topologies on non-commutative state spaces
    • 72/2011 - Entropy Distance: New Quantum Phenomena
    • 82/2009 - Finding the Maximizers of the Information Divergence from an Exponential Family
    • 39/2008 - Mathematical strategies in the coarse-graining of extensive systems: error quantification and adaptivity
    • 71/2007 - C*-algebraic approach to the Bose-Hubbard model
    • 75/2006 - Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems

  • relative Hamiltonian

    • 71/2007 - C*-algebraic approach to the Bose-Hubbard model

  • relative morse index

    • 55/2003 - The Morse index theorem for regular Lagrangian systems

  • Relative nullity foliation

    • 38/2011 - Screen conformal lightlike geometry in indefinite Kenmotsu space forms

  • relativistic klein-gordon equation

    • 24/2005 (Lecture note) - Lectures on Global Attractors of Hamilton Nonlinear Wave Equations

  • relaxation

    • 68/2008 - Quasiconvex relaxation of multidimensional control problems with integrands f(t,ξ,v)
    • 111/2007 - Relaxation of three solenoidal wells and characterization of three-phase H-measures
    • 6/2005 - From 1-homogeneous supremal functionals to difference quotients: relaxation and Γ-convergence
    • 72/2000 - Nonconvex potentials and microstructures in finite-strain plasticity
    • 40/1999 - Weierstrass-type maximum principle for microstructure in micromagnetics
    • 24/1998 - Regularity and optimal design results for elastic membranes
    • 8/1998 - 3D-2D asymptotic analysis of an optimal design problem for thin films

  • relaxation oscillations

    • 50/2009 - Scaling in singular perturbation problems: blowing-up a relaxation oscillator
    • 43/2009 - Geometric singular perturbation analysis of an autocatalator model

  • relaxed energy

    • 50/1998 - Relaxation of some multi-well problems

  • relaxed problem

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

  • renewal theorem

    • 31/2004 - A notion of Euler characteristic for fractals

  • renormalization

    • 10/2006 - Renormalization : A number theoretical model

  • renormalization group

    • 9/2004 - Scaling algebras for charged fields and short-distance analysis for localizable and topological charges

  • renormalization group map

    • 75/2006 - Coarse-graining schemes and a posteriori error estimates for stochastic lattice systems

  • renormalization, general covariance

    • 12/2004 - The current status of quantum fields in curved spacetime (Transparencies of a talk given at DPG meeting, Ulm, 17 March 2004)

  • renormalized solutions

    • 67/2003 - Well--posedness for a class of hyperbolic systems of conservation laws in several space dimensions

  • reparametrization

    • 43/2014 - An example of a vector field with the oriented shadowing property

  • replication

    • 52/2013 - On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication
    • 91/2002 - Proto-Organism Kinetics: Evolutionary Dynamics of Lipid Aggregates with Genes and Metabolism

  • representation

    • 129/2006 - Explicit realization of induced and coinduced modules over Lie superalgebras by differential operators

  • Representation class

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

  • representation formula

    • 85/2003 - A representation formula for the inverse harmonic mean curvature flow

  • representation rings

    • 36/2007 - Hopf Algebra Structure of the Character Rings of Orthogonal and Symplectic Groups
    • 77/2005 - A Hopf algebraic approach to the theory of group branchings

  • representation theory

    • 145/2006 - Decompositions of the tensor products of irreducible 𝔰𝔩(2)-modules in characteristic 3
    • 48/2005 - New branching rules induced by plethysm

  • representation, symmetry group, lagrangian theory

    • 25/2005 (Lecture note) - Lectures on Quantum Mechanics (nonlinear PDEs point of view)

  • Representational Power

    • 106/2014 - Discrete Restricted Boltzmann Machines
    • 74/2014 - Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units
    • 72/2014 - On the number of response regions of deep feedforward networks with piecewise linear activations
    • 27/2011 - Expressive Power and Approximation Errors of Restricted Boltzmann Machines

  • reproducing kernel Hilbert space

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

  • reproducing kernel Hilbert spaces

    • 20/2007 - Generalized Tractability for Linear Functionals
    • 155/2006 - Power Series Kernels

  • resolvent

    • 55/2014 - The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
    • 18/2013 - A new proof of the Lie-Trotter-Kato formula in Hadamard spaces

  • resolvents

    • 11/2007 - On the Robustness of Elliptic Resolvents Computed by means of the Technique of Hierarchical Matrices

  • resting cell

    • 99/2006 - Actin Dynamics and Cell Motility: Minimal Models for the Initiation of Cell Movement

  • restricted Boltzmann machine

    • 106/2014 - Discrete Restricted Boltzmann Machines
    • 74/2014 - Universal Approximation Depth and Errors of Narrow Belief Networks with Discrete Units

  • resurgence

    • 34/2009 - Shatalov-Sternin's construction of complex WKB solutions -- a comment on geometric issues.

  • retarded potential integral equation

    • 93/2013 - Adaptive Time Discretization for Retarded Potentials

  • retarded potentials

    • 42/2011 - Fast Quadrature Techniques for Retarded Potentials Based on TT/QTT Tensor Approximation

  • Riccati and Chazy equations

    • 143/2006 - Riccati Chain, Higher Order Painlev\'e Type Equations and Stabilizer Set of Virasoro Orbit

  • riccati equation

    • 49/2008 - Riccati Chain, Ramanujan's Differential Equations For Eisenstein Series and Chazy Flows
    • 87/2007 - Ramanujan Eisenstein Series, Fa\'a di Bruno Polynomials and Integrable Systems
    • 84/2005 - Nonlinear multigrid for the solution of large scale Riccati equations in low-rank and H-matrix format
    • 62/2002 - Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
    • 18/2002 - Introduction to Hierarchical Matrices with Applications

  • Ricci blowup

    • 123/2006 - Completeness, Ricci blowup, the Osserman and the conformal Osserman condition for Walker signature (2,2) manifolds.

  • ricci curvature

    • 73/2002 - Some properties of the Schouten tensor and applications to conformal geometry

  • Ricci operator

    • 73/2007 - Examples of signature (2,2) manifolds with commuting curvature operators

  • Ricci soliton

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

  • ricci tensor

    • 43/2005 - Conformal deformations of the smallest eigenvalue of the Ricci tensor

  • Richardson extrapolation

    • 36/2008 - Fast and Accurate Tensor Approximation of Multivariate Convolution with Linear Scaling in Dimension

  • Riemann tensor

    • 81/2006 - The nonholonomic Riemann and Weyl tensors for flag manifolds

  • riemann-hilbert factorization

    • 13/2005 - On the Method of Steepest Descent

  • riemann-hilbert problems

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

  • Riemannian submersion

    • 116/2006 - The spectral geometry of the canonical Riemannian submersion of a compact Lie Group

  • riesz transform

    • 29/1999 - Rank-one convexity implies quasiconvexity on diagonal matrices

  • rigid-perfect plasticity

    • 49/2004 - Examples of nonlinear homogenization in plane strain involving degenerate energies

  • rigidity

    • 33/2004 - Geometric Rigidity of Conformal Matrices
    • 4/2004 - Regularity properties of isometric immersions
    • 53/2003 - Rigidity for the hyperbolic Monge-Ampere equation
    • 47/2003 - Sharp rigidity estimates for nearly umbilical surfaces
    • 35/2000 - Rigidity for the four gradient problem

  • rigidity of isometric immersions

    • 41/2003 - On the Sobolev space of isometric immersions

  • rigorous numerics

    • 39/2005 - Rigorous Numerics for Dissipative PDEs III. An effective algorithm for rigorous computation of trajectories and Poincaré maps

  • robin function

    • 81/2001 - Concentration phenomena for the volume functional in unbounded domains:
      Identification of concentration points
    • 7/2001 - Concentration of low energy extremals: Identification of concentration points

  • robustness

    • 14/2006 - Geometric robustness theory and biological networks

  • rod theory

    • 40/2005 - Derivation of a rod theory for multiphase materials
    • 13/2003 - A nonlinear model for inextensible rods as a low energy Gamma-limit of three-dimensional nonlinear elasticity

  • rotating drops

    • 16/2006 - On toroidal rotating drops

  • routes to chaos

    • 92/2005 - Routes to chaos in high-dimensional dynamical systems: a qualitative numerical study

  • rubber material

    • 40/2001 - Soft elastic response of stretched sheets of nematic elastomers: a numerical study

  • Runge-Kutta convolution quadrature

    • 67/2012 - Fast Convolution Quadrature for Wave Equation in Three Dimensions
    • 65/2011 - Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature

  • Runge-Kutta methods

    • 72/2012 - Sparsity of Runge-Kutta convolution weights for three-dimensional wave equation
    • 59/2010 - Runge-Kutta convolution quadrature for operators arising in wave propagation
    • 27/2010 - An error analysis of Runge-Kutta convolution quadrature
    • 58/2009 - Multistep and multistage boundary integral methods for the wave equation

07.05.2015, 01:46