Work

Stochastic dynamics on infinite product manifolds: twenty five years after

Year: 2025

Type: article

Abstract: We consider an infinite system of stochastic differential equations in a compact manifold M. The equations are labeled by vertices of a geometric graph with unbounded vertex degrees and coupled via nearest neighbour interaction. We prove the global existence and uniqueness of strong solutions and construct in this way stochastic dynamics associated with Gibbs measures describing equilibrium states of a (quenched) system of particles with positions forming a typical realization of a Poisson or Gibbs point process in Rd.

Source: White Rose Research Online (University of Leeds, The University of Sheffield, University of York)

Author: Daletskii, Alex

Institution: University of York

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7024737531

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