Keyword index E

  • 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 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
  • 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
  • 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 functionals
    • 89/2004 - Large deviations for trapped interacting Brownian particles and paths
  • energy identity
    • 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
  • 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 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
    • 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
  • 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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