Self-attracting diffusions: Case of the constant interaction

DOI10.1007/s004400050082zbMath0881.60055OpenAlexW1977076560MaRDI QIDQ679161

Olivier Raimond

Publication date: 3 February 1998

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

Full work available at URL: https://doi.org/10.1007/s004400050082

zbMATH Keywords

Brownian motiondiffusionsstochastic equationrestoring driftself-attracting diffusions

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 (12)

Self-repelling diffusions via an infinite dimensional approach ⋮ Excited Brownian motions as limits of excited random walks ⋮ The ODE method for some self-interacting diffusions on \(\mathbb R^d\) ⋮ Some particular self-interacting diffusions: ergodic behaviour and almost sure convergence ⋮ Long time behaviour and stationary regime of memory gradient diffusions ⋮ Self-repelling diffusions on a Riemannian manifold ⋮ Rate of convergence of some self-attracting diffusions ⋮ Transition times and stochastic resonance for multidimensional diffusions with time periodic drift: a large deviations approach ⋮ An asymptotic result for Brownian polymers ⋮ Random walk with memory ⋮ Self-interacting diffusions: a simulated annealing version ⋮ Self-interacting diffusions. III: Symmetric interactions

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