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Hypocoercivity with Schur complements (Q2136419)

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Language	Label	Description	Also known as
English	Hypocoercivity with Schur complements	scientific article

Statements

scholarly article

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Hypocoercivity with Schur complements (English)

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Étienne Bernard

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Annales Henri Lebesgue

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publication date

10 May 2022

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full work available at URL

https://arxiv.org/abs/2003.00726

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zbMATH Keywords

hypocoercivity

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Langevin dynamics

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Schur complements

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resolvent estimates

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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On Linear Hypocoercive BGK Models

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Large-time behavior in non-symmetric Fokker-Planck equations

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Hypocoercivity of piecewise deterministic Markov process-Monte Carlo

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From microphysics to macrophysics. Methods and applications of statistical physics. II. Translated from the French by D. ter Haar.

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Bakry-Émery meet Villani

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A simple proof of the Poincaré inequality for a large class of probability measures

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Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincaré

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Hypocoercivity and diffusion limit of a finite volume scheme for linear kinetic equations

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Hypocoercivity without confinement

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Gamma calculus beyond Villani and explicit convergence estimates for Langevin dynamics with singular potentials

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Numerical solution of saddle point problems

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On the functional central limit theorem and the law of the iterated logarithm for Markov processes

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Exponential Decay to Equilibrium for a Fiber Lay-Down Process on a Moving Conveyor Belt

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Randomized Hamiltonian Monte Carlo

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On the exponential decay to equilibrium of the degenerate linear Boltzmann equation

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Hypocoercivity of linear kinetic equations via Harris's theorem

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Approach to the steady state in kinetic models with thermal reservoirs at different temperatures

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Semi Log-Concave Markov Diffusions

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Convergence theorems for operators sequences on functionals of discrete-time normal martingales

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Weighted L <sup>2</sup>-contractivity of Langevin dynamics with singular potentials

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Coercivity, hypocoercivity, exponential time decay and simulations for discrete Fokker-Planck equations

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Exponential Rate of Convergence to Equilibrium for a Model Describing Fiber Lay-Down Processes

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Combinatorial methods in density estimation

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Hypocoercivity for kinetic equations with linear relaxation terms

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Hypocoercivity for linear kinetic equations conserving mass

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Using perturbed underdamped Langevin dynamics to efficiently sample from probability distributions

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Randomized Hamiltonian Monte Carlo as scaling limit of the bouncy particle sampler and dimension-free convergence rates

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Theory and practice of finite elements.

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Couplings and quantitative contraction rates for Langevin dynamics

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Spectral properties of hypoelliptic operators

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Hypocoercivity in Phi-Entropy for the Linear Relaxation Boltzmann Equation on the Torus

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Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation

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Hilbert space hypocoercivity for the Langevin dynamics revisited

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Weak Poincaré inequalities for convergence rate of degenerate diffusion processes

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Exponential relaxation of the Nosé-Hoover thermostat under Brownian heating

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Geometric analysis of the linear Boltzmann equation. I: Trend to equilibrium

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Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials

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Isotropic hypoelliptic and trend to equilibrium for the Fokker-Planck equation with a high-degree potential

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Hypoelliptic estimates and spectral theory for Fokker-Planck operators and Witten Laplacians

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From ballistic to diffusive behavior in periodic potentials

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Short and long time behavior of the Fokker-Planck equation in a confining potential and applications

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Introduction to hypocoercive methods and applications for simple linear inhomogeneous kinetic models

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Convergence rates for nonequilibrium Langevin dynamics

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Effective diffusion in the Focker-Planck equation

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Molecular dynamics. With deterministic and stochastic numerical methods

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The computation of averages from equilibrium and nonequilibrium Langevin molecular dynamics

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Nonequilibrium isothermal transformations in a temperature gradient from a microscopic dynamics

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Partial differential equations and stochastic methods in molecular dynamics

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Hypocoercivity Properties of Adaptive Langevin Dynamics

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Quantitative rates of convergence to non-equilibrium steady state for a weakly anharmonic chain of oscillators

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On \(L^1\) exponential trend to equilibrium for conservative linear kinetic equations on the torus

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Quantitative perturbative study of convergence to equilibrium for collisional kinetic models in the torus

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Generalized \(\Gamma\) calculus and application to interacting particles on a graph

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A note on Fisher information hypocoercive decay for the linear Boltzmann equation

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Spectrum of Ornstein-Uhlenbeck operators in \(L ^{p}\) spaces with respect to invariant measures

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Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise.

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A new criterion for the logarithmic Sobolev inequality and two applications

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Stochastic Processes and Applications

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Numerical hypocoercivity for the Kolmogorov equation

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Ergodic Properties of Markov Processes

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Spectral methods for Langevin dynamics and associated error estimates

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Langevin Dynamics With General Kinetic Energies

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Longtime convergence of the temperature-accelerated molecular dynamics method

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Elementary linear algebra for advanced spectral problems

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Ergodic and quasideterministic properties of finite-dimensional stochastic systems

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On the existence of global solutions of mixed problem for non-linear Boltzmann equation

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Spectra of perturbed semigroups with applications to transport theory

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Large and moderate deviations and exponential convergence for stochastic damping Hamiltonian systems.

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The equivalence of the log-Sobolev inequality and a mixing condition for unbounded spin systems on the lattice

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Identifiers

zbMATH Open document ID

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10.5802/ahl.129

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2136419

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