Keyword index R

R-core
- 28/2011 - Relations Between Graphs
R-retraction
- 28/2011 - Relations Between Graphs
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
- 115/2002 - A Rough Lipschitz Function
radiosity
- 28/2007 - Wavelet radiosity
radon-nikodym decomposition theorem
- 12/2003 - -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 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 T_k-configurations
rank-one convexity
- 69/2003 - Rank-One Convex Hulls in ℝ^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
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
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
reduced higher order SVD
- 29/2012 - Tensor-structured factorized calculation of two-electron integrals in a general basis
reduced model
- 33/2012 - The cross-over from symmetric to asymmetric transition layers in thin-film micromagnetics
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 - C^1,α 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
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
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
- 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
- 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
resurgence
- 34/2009 - Shatalov-Sternin's construction of complex WKB solutions -- a comment on geometric issues.
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 -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 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