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Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds - MaRDI portal

Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds (Q2668490)

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Language	Label	Description	Also known as
English	Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds	scientific article

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scholarly article

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Hypocoercivity of Langevin-type dynamics on abstract smooth manifolds (English)

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Martin Grothaus

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Maximilian Constantin Mertin

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Stochastic Processes and their Applications

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publication date

7 March 2022

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full work available at URL

https://arxiv.org/abs/2006.11567

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zbMATH Keywords

hypocoercivity

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Kolmogorov backward equation

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Langevin dynamics

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semispray

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Ehresmann connection

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MaRDI profile type

MaRDI publication profile

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Kinetic Brownian motion on Riemannian manifolds

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Sub-Laplacians and hypoelliptic operators on totally geodesic Riemannian foliations

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

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Hypocoercive estimates on foliations and velocity spherical Brownian motion

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A Generalized Poincare Inequality for Gaussian Measures

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Hypoelliptic Laplacian and probability

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Unit Tangent Sphere Bundles with Constant Scalar Curvature

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On the parallelizability of the spheres

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Stochastic variational integrators

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Metric nonlinear connections

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A setting for higher order differential equation fields and higher order Lagrange and Finsler spaces

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A GEOMETRIC SETTING FOR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS

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Construction of n-particle Langevin dynamics for \(H^{1,\infty}\)-potentials via generalized Dirichlet forms

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Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials

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Approximation Theory and Harmonic Analysis on Spheres and Balls

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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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On the Geometry of the Tangent Bundle.

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The Harmonic Operator for Exterior Differential Forms

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A special Stoke's theorem for complete Riemannian manifolds

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The heat equation method of Milgram and Rosenbloom for open Riemannian manifolds

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On the construction of certain diffusions on a differentiable manifold

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Global analysis in mathematical physics. Geometric and stochastic methods. Transl. from the Russian by V. L. Ginzburg.

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On measures in fibre bundles

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A Stochastic Model and Associated Fokker–Planck Equation for the Fiber Lay-Down Process in Nonwoven Production Processes

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GEOMETRIC LANGEVIN EQUATIONS ON SUBMANIFOLDS AND APPLICATIONS TO THE STOCHASTIC MELT-SPINNING PROCESS OF NONWOVENS AND BIOLOGY

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Hypocoercivity for Kolmogorov backward evolution equations and applications

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Hilbert space hypocoercivity for the Langevin dynamics revisited

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On the geometry of tangent bundles

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Sobolev spaces on Riemannian manifolds

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

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Ergodicity and Lyapunov Functions for Langevin Dynamics with Singular Potentials

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Self-adjoint extensions of the Laplace-Beltrami operator and unitaries at the boundary

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Construction of the Brownian motion and the Ornstein-Uhlenbeck process in a Riemannian manifold on basis of the Gangolli-Mc.Kean injection scheme

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NON-PARALLELIZABILITY OF THE n-SPHERE FOR n > 7

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A smooth 3D model for fiber lay-down in nonwoven production processes

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Semiclassical analysis for diffusions and stochastic processes

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Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting

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Fiber Dynamics in Turbulent Flows: Specific Taylor Drag

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Fokker-Planck equation on a manifold. Effective diffusion and spectrum

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The theory of generalized Dirichlet forms and its applications in analysis and stochastics

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On the almost-complex structure of tangent bundles of Riemannian spaces

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Stochastic calculus of generalized Dirichlet forms and applications to stochastic differential equations in infinite dimensions

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On a class of non-symmetric diffusions containing fully nonsymmetric distorted Brownian motions

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Identifiers

zbMATH Open document ID

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10.1016/j.spa.2021.12.007

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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:2668490

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