Uniqueness and regularity for a system of interacting Bessel processes via the Muckenhoupt condition

DOI10.1090/S0002-9947-2011-05457-7zbMath1315.60104arXiv0903.5085MaRDI QIDQ2880686

Sebastian Andres, Max-K. von Renesse

Publication date: 13 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.5085

zbMATH Keywords

Muckenhoupt weightsCoulomb interactionFeller propertyreflecting boundary conditioninteracting Bessel processes

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Harmonic analysis and PDEs (42B37)

Related Items (3)

On the stochastic regularity of distorted Brownian motions ⋮ A skew stochastic heat equation ⋮ Particle approximation of the Wasserstein diffusion

Cites Work

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• Some potential theory for reflecting Brownian motion in Hölder and Lipschitz domains
• Existence and stability for Fokker-Planck equations with log-concave reference measure
• Strong Feller properties for distorted Brownian motion with reflecting boundary condition and an application to continuous \(N\)-particle systems with singular interactions
• Particle approximation of the Wasserstein diffusion
• Excursions of a \(BES_ o(d)\) and its drift term \((0<d<1)\)
• Stochastic differential equations with reflecting boundary condition in convex regions
• A construction of reflecting barrier Brownian motions for bounded domains
• Brownian motion in a Weyl chamber, non-colliding particles, and random matrices
• Application of coupling methods to the Neumann eigenvalue problem
• Diffusing particles with electrostatic repulsion
• Skorokhod decomposition of reflected diffusions on bounded Lipschitz domains with singular non-reflection part
• Nonlinear potential theory and weighted Sobolev spaces
• Uniqueness for reflecting Brownian motion in Lip domains
• On semi-martingale characterizations of functionals of symmetric Markov processes
• Classical Dirichlet forms on topological vector spaces --- closability and a Cameron-Martin formula
• Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
• Analysis on local Dirichlet spaces. III: The parabolic Harnack inequality
• Uniqueness and non-uniqueness of semigroups generated by singular diffusion operators
• Entropic measure and Wasserstein diffusion
• Degenerate stochastic differential equations with Hölder continuous coefficients and super-Markov chains
• The Semimartingale Structure of Reflecting Brownian Motion
• Stochastic differential equations with reflecting boundary conditions
• The local regularity of solutions of degenerate elliptic equations

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