- early development
- 3/2007 - On the role of physics in the growth and pattern formation of multi-cellular systems: What can we learn from individual-cell based models?
- econophysics
- 76/2006 - The thermodynamical approach to market
- Edge-based measures
- 67/2016 - Systematic evaluation of a new combinatorial curvature for complex networks
- EEG
- 47/2007 - Numerical mathematics for the modeling of a current dipole in EEG source reconstruction using finite element head models
- eeg/meg
- 90/2003 - Efficient Computation of Lead Field Bases and Influence Matrix for the FEM-based EEG and MEG Inverse Problem. Part I: Complexity Considerations
- eeg/meg-source localization in the human brain
- 35/2001 - A parallel algebraic multigrid solver for finite element method based source localization in the human brain
- effective capacity
- 63/2020 - Implicit bias of gradient descent for mean squared error regression with wide neural networks
- effective coefficients
- 28/2010 - An optimal error estimate in stochastic homogenization of discrete elliptic equations
- Effective complexity
- 2/2010 - Effective complexity of stationary process realizations
- effective non-convex gradient interface models
- 2/2008 - Strict convexity of the free energy for non-convex gradient models at moderate β
- effective velocity
- 76/2007 - Pulsating Wave for Mean Curvature Flow in Inhomogeneous Medium
- Efficient Prediction
- 55/2015 - The Information Bottleneck Method for Optimal Prediction of Multilevel Agent-based Systems
- Efficient Statistical Computations
- 26/2012 - A Predictive Approach to Nonparametric Inference for Adaptive Sequential Sampling of Psychophysical Experiments
- eigenform
- 72/2007 - Spectral geometry, homogeneous spaces, and differential forms with finite Fourier series
- Eigenform of the Laplacian
- 116/2006 - The spectral geometry of the canonical Riemannian submersion of a compact Lie Group
- eigenfunctions
- 78/2008 - Use of Tensor Formats in Elliptic Eigenvalue Problems
- eigenvalue
- 50/2006 - σk-scalar curvature and eigenvalues of the Dirac operator
- 97/2004 - Graph operations and synchronization of complex networks
- eigenvalue computation
- 55/2007 - A projection method for the computation of inner eigenvalues using high degree rational operators
- eigenvalue problems
- 18/2007 - On Estimators for Eigenvalue/Eigenvector Approximations
- 72/2003 - Multi-Grid Methods for FEM and BEM Applications
- eigenvalues
- 52/2007 - Numerical computation of inner eigenvalues using the Dunford Cauchy integral
- 11/2005 - Eigenfrequencies of fractal drums
- 76/2003 - Stability in a ball-partition problem
- eigenvalues of real symmetric matrices
- 49/2018 - On the geometry of the set of symmetric matrices with repeated eigenvalues
- eigenvector algorithms
- 54/2019 - Solving p-adic Polynomial Systems via Iterative Eigenvector Algorithms.
- eigenvectors
- 73/2005 - Nodal Domain Theorems and Bipartite Subgraphs
- Eikonal equation
- 1/2015 - Asymmetric domain walls of small angle in soft ferromagnetic films
- Eilenberg-Moore algebras
- 76/2018 - Stochastic order on metric spaces and the ordered Kantorovich monad
- Einstein
- 73/2007 - Examples of signature (2,2) manifolds with commuting curvature operators
- Einstein-Hilbert functional
- 97/2013 - The Einstein-Hilbert action with cosmological constant as a functional of generic form
- Eisenbud-Goto conjecture
- 67/2011 - Decomposition of semigroup algebras
- 10/2011 - A combinatorial proof of the Eisenbud-Goto conjecture for monomial curves and some simplicial semigroup rings
- Eisenstein series
- 87/2007 - Ramanujan Eisenstein Series, Fa\'a di Bruno Polynomials and Integrable Systems
- elastic curve
- 54/2012 - L2-flow of elastic curves with knot points and clamped ends
- elastic material
- 95/2003 - Modeling and simulation of martensitic phase transitions with a triple point
- Elastic sheet
- 11/2008 - Polarized Hessian Covariant: Contribution to Pattern Formation in the Föppl-von Kármán Shell Equations
- elasticity
- 11/2011 (Technical report) - Fast MATLAB assembly of FEM matrices in 2D and 3D: nodal elements
- 61/2013 - On the general homogenization and Γ-closure for the equations of von Kármán plate from 3D nonlinear elasticity
- 34/2013 - A note on the derivation of homogenized bending plate model
- 33/2013 - Derivation of a homogenized von Kármán shell theory
- 61/2012 - Derivation of a Homogenized Von-Kármán Plate Theory from 3d Nonlinear Elasticity
- 80/2000 - Numerical analysis of a relaxed variational model of hysteresis in two-phase solids
- elastomers
- 10/1999 - Energetics of fine domain structures
- elastometric polymers
- 9/1999 - Material instabilities in nematic elastomers
- elastoplasticity
- 10/2005 - Lower semi-continuity and existence of minimizers in incremental finite-strain elastoplasticity
- 37/2003 - Dislocations in the Field Theory of Elastoplasticity
- 65/2002 - A nonsingular solution of the edge dislocation in the gauge theory of dislocations
- Elduque superalgebra
- 125/2006 - Cartan matrices and presentations of the exceptional simple Elduque Lie superalgebra
- 124/2006 - Cartan matrices and presentations of Cunha and Elduque superalgebras
- electric field integral equation
- 47/2012 - Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
- electroencephalography
- 95/2007 - A highly accurate full subtraction approach for dipole modelling in EEG source analysis using the finite element method
- Electromagnetic scattering
- 47/2012 - Frequency Explicit Regularity Estimates for the Electric Field Integral Operator
- 65/2011 - Numerical Solution of Exterior Maxwell Problems by Galerkin BEM and Runge-Kutta Convolution Quadrature
- Electron Back-Scatter Diffraction
- 84/2008 - Lamination microstructure in shear deformed copper single crystals
- electron correlations
- 80/2005 - Best N-term approximation in electronic structure calculations. II. Jastrow factors
- 65/2004 - Toward diagrammatic multiresolution analysis for electron correlations
- electron density
- 66/2009 - Approximation of the Electron Density of Aluminium Clusters in Tensor-Product Format
- electronencephalography
- 95/2007 - A highly accurate full subtraction approach for dipole modelling in EEG source analysis using the finite element method
- Electronic structure calculations
- 19/2015 - Tensor Numerical Methods in Quantum Chemistry: from Hartree-Fock Energy to Excited States
- 108/2014 - Tensor Numerical Methods for Multidimensional PDEs: Theoretical Analysis and Initial Applications
- 70/2013 - Mesh-Free Canonical Tensor Products for Six-Dimensional Density Matrix: Computation of Kinetic Energy
- 37/2011 - QTT Representation of the Hartree and Exchange Operators in Electronic Structure Calculations
- 71/2009 - Efficient multi-scale computation of products of orbitals in electronic structure calculations
- 23/2009 - The tensor product approximation to single-electron systems
- electrostatic potential
- 104/2018 - Range-separated tensor representation of the discretized multidimensional Dirac delta and elliptic operator inverse
- electroweak interaction
- 82/2004 - The Topology of the Electroweak Interaction
- elliptic boundary value problem
- 59/2012 - Partial evaluation of the discrete solution of elliptic boundary value problems
- elliptic boundary-value problem
- 46/2016 - On the Exit Time and Stochastic Homogenization of Isotropic Diffusions in Large Domains
- elliptic energy monotonicity
- 57/2002 - On moving Ginzburg-Landau filament vortices
- elliptic equations
- 13/2015 - On annealed elliptic Green function estimates
- 69/2012 - Annealed estimates on the Green's function
- 51/2012 - Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients
- 79/2001 - Data-sparse approximate inverse in elliptic problems: Green's function approach
- elliptic functions
- 55/2002 - Elliptic functions and temperature inversion symmetry on spheres
- elliptic inverse
- 79/2009 - Quantics-TT Approximation of Elliptic Solution Operators in Higher Dimensions
- elliptic operator
- 32/2007 (Lecture note) - Lectures on elliptic partial differential equations (Pseudodifferential operator approach)
- elliptic operators
- 12/2011 - Low-rank Tensor Structure of Solutions to Elliptic Problems with Jumping Coefficients
- 55/2010 - Tensor Structured Iterative Solution of Elliptic Problems with Jumping Coefficients
- 9/2010 - Tensor-Structured Galerkin Approximation of parametric and stochastic Elliptic PDEs
- 78/2008 - Use of Tensor Formats in Elliptic Eigenvalue Problems
- elliptic problem solvers
- 47/2017 - A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element
- elliptic problems
- 117/2005 - Nonconforming box-schemes for elliptic problems on rectangular grids
- elliptic problems with quasi--periodi
- 10/2017 - Rank structured approximation method for quasi--periodic elliptic problems
- elliptic resolvent
- 82/2008 - Tensor-structured Preconditioners and Approximate Inverse of Elliptic Operators in ℝd
- elliptic systems
- 68/2003 - On the regularity of critical points of polyconvex functionals
- elliptic variational inequalities
- 2/2001 - Averaging techniques yield reliable a posteriori finite element error control for obstacle problems
- elliptisch
- 14/2002 (Lecture note) - Partielle Differentialgleichungen aus der Geometrie und Physik I - Parabolische und elliptische Probleme
- em-Algorithm
- 85/2020 - Complexity as Causal Information Integration
- embedding
- 50/2001 - Embeddings of lattices in L2([0,1], Z)
- embodied agent
- 74/2015 - The Umwelt of an Embodied Agent - A Measure-Theoretic Definition
- Embodied Artificial Intelligence
- 21/2015 - Quantifying Morphological Computation based on an Information Decomposition of the Sensorimotor Loop
- 60/2013 - Information-driven intrinsic motivation in reinforcement learning
- 11/2013 - Quantifying Morphological Computation
- Embodied Machine Learning
- 60/2013 - Information-driven intrinsic motivation in reinforcement learning
- embodiment
- 70/2014 - A Theory of Cheap Control in Embodied Systems
- empirical variance
- 47/2017 - A numerical primer in 2D stochastic homogenization: CLT scaling in the Representative Volume Element
- energetic formulation
- 14/2009 - Quasistatic delamination problem
- energy and force calculations
- 23/2020 - Prospects of tensor-based numerical modeling of the collective electrostatic potential in many-particle systems
- energy functionals
- 89/2004 - Large deviations for trapped interacting Brownian particles and paths
- energy identity
- 80/2019 - Energy quantization for a singular super-Liouville boundary value problem
- 41/2018 - Geometric analysis of a mixed elliptic-parabolic conformally invariant boundary value problem
- 71/2017 - Asymptotic analysis and qualitative behavior at the free boundary for Sacks-Uhlenbeck α-harmonic maps
- 63/2017 - The super-Toda system and bubbling of spinors
- 31/2017 - Bubbling analysis for approximate Lorentzian harmonic maps from Riemann surfaces
- 13/2017 - Energy quantization for a nonlinear sigma model with critical gravitinos
- 11/2017 - Energy identity for a class of approximate Dirac-harmonic maps from surfaces with boundary
- 65/2016 - Blow-up analysis for approximate Dirac-harmonic maps in dimension 2 with applications to the Dirac-harmonic heat flow
- 38/2016 - Bubbling analysis near the Dirichlet boundary for approximate harmonic maps from surfaces
- 26/2016 - The qualitative behavior at the free boundary for approximate harmonic maps from surfaces
- 31/2008 - Quantization for a nonlinear Dirac equation
- 42/2007 - Nonlinear Dirac equations on Riemann surfaces
- energy methods
- 40/2001 - Soft elastic response of stretched sheets of nematic elastomers: a numerical study
- energy minimization
- 98/2005 - Crack initiation in elastic bodies
- energy release rate
- 101/2007 - On the inviscid limit of a model for crack propagation
- energy scaling law
- 35/2013 - Metric-induced wrinkling of a thin elastic sheet
- energy scattering to infinity
- 68/1998 - On transitions to stationary states in 1D nonlinear wave equations
- energy-momentum tensor
- 24/2017 - Symmetries and conservation laws of a nonlinear sigma model with gravitino
- entanglement
- 47/2015 - Quantum Nonlocality of Arbitrary Dimensional Bipartite States
- 82/2014 - Inequality detecting entanglement for arbitrary bipartite systems
- 73/2013 - A Note on Resistance of NPT to Mixture of Separable States
- 67/2013 - Entanglement Detection and Distillation for Arbitrary Bipartite Systems
- 28/2013 - Dynamics of quantum correlations for atoms in independent single-mode cavity
- 27/2013 - Bell inequality for multipartite qubit quantum system and the maximal violation
- 1/2011 - Bell Inequality, Separability and Entanglement Distillation
- 36/2010 - Concurrence, Tangle and Fully Entangled Fraction of Quantum Entanglement
- 17/2010 - Separable State Decompositions for a Class of Mixed States
- 17/2009 - On Estimation of Fully Entangled Fraction
- 89/2008 - A Note on Quantum Entanglement and PPT
- 109/2005 - Equivalence of Tripartite Quantum States under Local Unitary Transformations
- 108/2005 - Multipartite States under Local Unitary Transformations
- Entanglement Measure
- 8/2012 - Mixed Maximally Entangled States
- 21/2008 - Entanglement of Multipartite Schmidt-correlated States
- 115/2006 - Concurrence-Based Entanglement Measure for Werner States
- entanglement of formation
- 47/2008 - Entanglement of Formation and Concurrence for Mixed States
- 102/2005 - Entanglement of Formation of Bipartite Quantum States
- 27/2003 - Entanglement of Formation for a Class of Quantum States
- Entanglement,Distillability,Inequality
- 67/2013 - Entanglement Detection and Distillation for Arbitrary Bipartite Systems
- entropy
- 10/2015 - The homological nature of entropy
- 112/2014 - Topological forms of information.
- 33/2014 - Weak Expansiveness for Actions of Sofic Groups
- 30/2013 - Some remarks on the entropy for algebraic actions of amenable groups
- 16/2011 - On Solution Sets of Information Inequalities
- 83/2007 - Entropy, dimension, and state mixing in a class of time-delayed dynamical systems
- 14/2006 - Geometric robustness theory and biological networks
- 10/2003 - Why verb-initial languages are not frequent
- entropy conditions
- 60/2003 - Minimal entropy conditions for Burgers equation
- entropy dimension
- 73/2001 - Pathologies in Aleksandrov spaces of curvature bounded above
- entropy solution
- 9/2015 - Algebraic contraction rate for distance between entropy solutions of scalar conservation laws
- entropy solutions
- 60/2003 - Minimal entropy conditions for Burgers equation
- 44/2003 - Concentration estimates for entropy measures
- 95/2002 - Structure of entropy solutions for multi--dimensional scalar conservation laws
- 47/2002 - Structure of entropy solutions: applications to variational problems
- entropy,entropy production,stationary distribution
- 28/2015 - The free energy method and the Wright-Fisher model with 2 alleles
- Environment viewed by the particle
- 25/2016 - Quantitative homogenization of degenerate random environments
- environment viewed from the particle
- 63/2008 - On the equivalence of the static and dynamic point of view for diffusions in a random environment
- Epidemic Dynamics of Influenza Virus
- 27/2012 - Immunity space generated by a non trivial genetic-antigenic relation
- Epiperimetric inequality
- 16/2015 - An epiperimetric inequality for the thin obstacle problem
- epitaxial growth
- 32/2014 - Study of island formation in epitaxially strained films on unbounded domains
- epsilon-machines
- 8/2008 - On the Generative Nature of Prediction
- equations with delay
- 50/2011 - Stability of solutions to abstract evolution equations with delay
- equi-integrability
- 18/1998 - A-quasiconvexity, lower semicontinuity and Young measures
- equidistribution
- 74/2003 - Equivariant Rational maps and Configurations: spherical equidistribution and SO(N,1) contraction
- Equilibria
- 27/2007 - Convergence of equilibria of thin elastic plates -- the von K\'arm\'an case
- equilibrium configurations
- 15/2009 - Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density
- equivalence
- 4/2006 - Matrix Tensor Product Approach to the Equivalence of Multipartite States under Local Unitary Transformations
- equivariant
- 74/2003 - Equivariant Rational maps and Configurations: spherical equidistribution and SO(N,1) contraction
- equivariant degree
- 110/2013 - Patterns from bifurcations: A symmetry analysis of networks with delayed coupling
- ergodic decomposition
- 24/2009 - Properties of the Statistical Complexity Functional and Partially Deterministic HMMs
- ergodic theory
- 3/2013 - Quantification of ergodicity in stochastic homogenization: optimal bounds via spectral gap on Glauber dynamics --- long version
- 20/2011 - Universally Typical Sets for Ergodic Sources of Multidimensional Data
- Ergodicity Economics
- 48/2020 - What are we weighting for? A mechanistic model for probability weighting
- 26/2020 - Risk Preferences in Time Lotteries
- error bounds
- error estimate
- 34/2014 - New Estimates for the Recursive Low-Rank Truncation
- error estimates
- 4/2012 - Fast and Accurate 3D Tensor Calculation of the Fock Operator in a General Basis
- 5/2009 - Error estimates for two-dimensional Cross Approximation
- 12/2007 - Error estimates for a mixed finite element discretization of some degenerate parabolic equations
- error estimation
- 113/2005 - Function, Gradient and Hessian Recovery Using Quadratic Edge-Bump Functions
- eta invariant
- 61/2005 - Eta invariants with spectral boundary conditions
- 83/2002 - The eta invariant and the real connective K-theory of the classifying space for quaternion groups
- Euclidean distance degree
- 49/2018 - On the geometry of the set of symmetric matrices with repeated eigenvalues
- 46/2017 - The Euclidean distance degree of smooth complex projective varieties
- Euclidean distance preference
- 113/2013 - Structure properties of evolutionary spatially embedded networks
- euclidean quantum gravity
- 67/2005 - A new spectral cancellation in quantum gravity
- euler characteristic
- 46/2017 - The Euclidean distance degree of smooth complex projective varieties
- 31/2004 - A notion of Euler characteristic for fractals
- Euler-Poincare
- 86/2007 - Euler-Poincar\'e Formalism of (Two Component) Degasperis-Procesi and Holm-Staley type Systems
- evaluation of scalar products
- 18/2000 - The efficient computation of scalar products of certain antisymmetric functions
- Evans function
- 23/2007 - Spectral stability of post-fertilization traveling waves
- evasion-pursuit game
- 81/2011 - Note on a compactness characterization via a pursuit game
- Evolution mechanism
- 47/2011 - The exponential degree distribution in complex networks: Non-equilibrium network theory, numerical simulation and empirical data
- evolution of language
- 36/2020 - It Means More if It Sounds Good: Yet Another Hypotheses Concerning the Evolution of Polysemous Words
- evolution problems
- 56/2011 - Stability result for abstract evolution problems
- 50/2011 - Stability of solutions to abstract evolution equations with delay
- evolutionary adaptation
- 68/2010 - Learning, Evolution and Population Dynamics
- Evolutionary complementarity game
- 68/2010 - Learning, Evolution and Population Dynamics
- Evolutionary game
- 67/2010 - The tragedy of the commons in a multi-population complementarity game
- Ewald summation
- 116/2013 - Grid-based lattice summation of electrostatic potentials by low-rank tensor approximation
- exchange matrix
- 25/2009 - Computation of the Hartree-Fock Exchange by the Tensor-structured Methods
- excitable regime
- 45/2018 - Stochastic FitzHugh-Nagumo neuron model in excitable regime embeds a leaky integrate-and-fire model
- exclusion process
- 60/2016 - Heat kernel upper bounds for interacting particle systems
- 2/2005 - Two scale hydrodynamic limit for a model of malignant tumor cells
- existence
- 89/2020 - Existence for VT-harmonic maps from compact manifolds with boundaries
- 105/2019 - Short-time existence of the α-Dirac-harmonic map flow and applications
- 79/2014 - Estimates for solutions of Dirac equations and an application to a geometric elliptic-parabolic problem
- 75/2014 - Existence and Liouville theorems for V-harmonic maps from complete manifolds
- 68/2014 - A maximum principle for generalizations of harmonic maps in Hermitian, affine, Weyl, and Finsler geometry
- 18/2012 - The maximum principle and the Dirichlet problem for Dirac-harmonic maps
- 10/2005 - Lower semi-continuity and existence of minimizers in incremental finite-strain elastoplasticity
- 38/2004 - The existence of convex body with prescribed curvsture measure
- 37/2004 - The Christoffel-Minkowski Problem III: Existence and Convexity of Admissible Solutions
- 40/2003 - Existence of solutions for a class of hyperbolic systems of conservation laws in several space dimensions
- existence and relaxation
- 17/2000 - Existence and relaxation results in special classes of deformations
- existence and uniqueness of travelling waves
- 58/2007 - Non-Local Anisotropic Dispersal with Monostable Nonlinearity
- existence of global minimizers
- 68/2008 - Quasiconvex relaxation of multidimensional control problems with integrands f(t,ξ,v)
- existence of minimizers
- 50/1998 - Relaxation of some multi-well problems
- expansivity
- 12/2014 - Shadowing for actions of some finitely generated groups.
- expected dimension
- 87/2018 - Restricted Boltzmann Machines: Introduction and Review
- 75/2015 - Dimension of Marginals of Kronecker Product Models; Geometry of hidden-visible products of exponential families
- 106/2014 - Discrete Restricted Boltzmann Machines
- 16/2014 - Expressive Power of Conditional Restricted Boltzmann Machines
- expected return
- 101/2019 - How signatures affect expected return and volatility: a rough model under transaction cost
- Exponential degree distribution
- 47/2011 - The exponential degree distribution in complex networks: Non-equilibrium network theory, numerical simulation and empirical data
- exponential dichotomy
- 106/2013 - Hölder Shadowing on Finite Intervals
- exponential error rate
- 54/2011 - An asymptotic error bound for testing multiple quantum hypotheses
- exponential families
- 28/2009 - Support Sets in Exponential Families and Oriented Matroid Theory
- 30/2008 - Hierarchical Models, Marginal Polytopes, and Linear Codes
- exponential family
- 87/2018 - Restricted Boltzmann Machines: Introduction and Review
- 31/2013 - Maximal Information Divergence from Statistical Models defined by Neural Networks
- 6/2012 - Continuity of the Maximum-Entropy Inference
- 75/2011 - Information topologies on non-commutative state spaces
- 73/2011 - Optimally approximating exponential families
- 72/2011 - Entropy Distance: New Quantum Phenomena
- 82/2009 - Finding the Maximizers of the Information Divergence from an Exponential Family
- 46/2003 - On maximization of the information divergence from an exponential family
- exponential nonlinearity
- 64/1998 - On a conjecture of Wolansky
- 45/1998 - Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials
- exponential random graph model
- 58/2012 - The convex support of the k-star model
- exponential sums
- 80/2017 - Computation of Best L∞ Exponential Sums for 1∕x by Remez’ Algorithm
- 3/2009 - On the Efficient Computation of High-Dimensional Integrals and the Approximation by Exponential Sums
- 45/2008 - Minimax approximation for the decomposition of energy denominators in Laplace-transformed M{\o}ller-Plesset perturbation theories
- 75/2004 - Approximation of 1∕x by Exponential Sums in [1,∞)
- exponential time-differencing
- 133/2006 - Fourth order time-stepping for low dispersion Korteweg-de Vries and nonlinear Schr\"odinger equation
- exponentialsummen
- 4/2005 (Technical report) - Entwicklungen nach Exponentialsummen
- exterior domains
- 14/2001 - Hypersurfaces of prescribed Gauss curvature in exterior domains
- external observer
- 74/2015 - The Umwelt of an Embodied Agent - A Measure-Theoretic Definition
- extreme discrepancy
- 21/2007 - Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy
- extreme points
- 39/1999 - Bauer's maximum principle and hulls of sets
- Eyring-Kramers formula
- 40/2012 - Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape
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