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 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
  • 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 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
  • 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
    • 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
    • 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
16.08.2014, 01:45