\(N/V\)-limit for stochastic dynamics in continuous particle systems

DOI10.1007/s00440-006-0499-yzbMath1114.60079arXivmath/0512464OpenAlexW2088825601MaRDI QIDQ866944

Martin Grothaus, Yuri G. Kondratiev, Michael Roeckner

Publication date: 14 February 2007

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512464

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

Related Items (7)

Convergence of Brownian motion with a scaled Dirac delta potential ⋮ Construction of n-particle Langevin dynamics for \(H^{1,\infty}\)-potentials via generalized Dirichlet forms ⋮ Construction, ergodicity and rate of convergence of \(N\)-particle Langevin dynamics with singular potentials ⋮ TAGGED PARTICLE PROCESS IN CONTINUUM WITH SINGULAR INTERACTIONS ⋮ Mosco type convergence of bilinear forms and weak convergence of \(n\)-particle systems ⋮ N/V-LIMIT FOR LANGEVIN DYNAMICS IN CONTINUUM ⋮ Particle approximation of the Wasserstein diffusion

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