Overdamped limit of generalized stochastic Hamiltonian systems for singular interaction potentials

DOI10.1007/s00028-019-00530-8OpenAlexW2969988602WikidataQ127355756 ScholiaQ127355756MaRDI QIDQ2188079

Andreas Nonnenmacher, Martin Grothaus

Publication date: 3 June 2020

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.06788

zbMATH Keywords

Markov semigroupsLangevin equationsoverdamped limitdistorted Brownian motionsemigroup convergence on varying spaces

Mathematics Subject Classification ID

Markov semigroups and applications to diffusion processes (47D07) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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Quantified overdamped limit for kinetic Vlasov-Fokker-Planck equations with singular interaction forces ⋮ Convergence rate for degenerate partial and stochastic differential equations via weak Poincaré inequalities ⋮ Quasi-stationary distribution for Hamiltonian dynamics with singular potentials ⋮ Weak Poincaré inequalities for convergence rate of degenerate diffusion processes

Cites Work

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• The small-mass limit for Langevin dynamics with unbounded coefficients and positive friction
• Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials
• Some remarks on the Smoluchowski-Kramers approximation
• Markov processes associated with \(L^{p}\)-resolvents and applications to stochastic differential equations on Hilbert space
• A hypocoercivity related ergodicity method for singularly distorted non-symmetric diffusions
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Strong solutions of stochastic equations with singular time dependent drift
• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
• The Smoluchowski-Kramers limit of stochastic differential equations with arbitrary state-dependent friction
• Weak Poincaré inequalities for convergence rate of degenerate diffusion processes
• Convergence of spectral structures: a functional analytic theory and its applications to spectral geometry
• Construction of n-particle Langevin dynamics for \(H^{1,\infty}\)-potentials via generalized Dirichlet forms
• Stochastic Processes and Applications
• A Weak Overdamped Limit Theorem for Langevin Processes

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