2021/01/11 by Michael Entov, Entov, Michael, Leonid Polterovich +1 · 1 citation
Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Theoretical and Computational Physics #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.2101.03770
We describe a method, based on "hard" contact topology, of showing the existence of semi-infinite trajectories of contact Hamiltonian flows which start on one Legendrian submanifold and asymptotically converge to another Legendrian submanifold. We discuss a mathematical model of non-equilibrium thermodynamics where such trajectories play a role of relaxation processes, and illustrate our results in the case of the Glauber dynamics for the mean field Ising model.