Brownian motion with restoring drift: The petit and micro-canonical ensembles

DOI10.1007/BF02173433zbMath0792.60077OpenAlexW2052770014MaRDI QIDQ1319920

K. L. Vaninskij, H. P. jun. McKean

Publication date: 24 July 1994

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02173433

zbMATH Keywords

wave equationstationary diffusion

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60) Classical equilibrium statistical mechanics (general) (82B05) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70)

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Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation, Periodic nonlinear Schrödinger equation and invariant measures, Statistical mechanics of nonlinear wave equations. IV: Cubic Schrödinger, Invariant Measures and the Soliton Resolution Conjecture, Invariant measures for the Gross-Pitaevskii equation, A stochastic thermalization of the discrete nonlinear Schrödinger equation, Probabilistic Methods for Discrete Nonlinear Schrödinger Equations, Coupled map lattices: some topological and ergodic properties, Galton-Watson trees with vanishing martingale limit, A logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg–de Vries equation

Cites Work

• The central limit theorem and the problem of equivalence of ensembles
• Statistical mechanics of the nonlinear Schrödinger equation.
• Hypoelliptic second order differential equations
• The Spherical Model of a Ferromagnet
• Transformations of Wiener Integrals Under a General Class of Linear Transformations
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