Ergodicity of self-attracting motion

DOI10.1214/EJP.v17-2121zbMath1261.60093arXiv1005.5632OpenAlexW2131969581MaRDI QIDQ456192

Victor Kleptsyn, Aline Kurtzmann

Publication date: 23 October 2012

Published in: Electronic Journal of Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1005.5632

zbMATH Keywords

free energydynamical systemself-attracting diffusion

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (7)

Deviation properties for linear self-attracting diffusion process and applications ⋮ Asymptotic properties for quadratic functionals of linear self-repelling diffusion process and applications ⋮ Asymptotic behaviour on the linear self-interacting diffusion driven by α-stable motion ⋮ Embedding laws in diffusions by functions of time ⋮ Empirical approximation to invariant measures for McKean-Vlasov processes: mean-field interaction vs self-interaction ⋮ Self-repelling diffusions on a Riemannian manifold ⋮ New particle representations for ergodic McKean-Vlasov SDEs

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