## Convergence to equilibrium for the heat bath coupled to a particle    [PDF]

T. V. Dudnikova
We consider a linear Hamiltonian system consisting of an infinite heat reservoir and a classical particle. The initial data are supposed to be a random function which has some mixing properties. We study the distribution \mu_t of the random solution at time moments t\in R. The main result is the convergence of \mu_t to a Gaussian probability measure as t\to\infty.
View original: http://arxiv.org/abs/1302.2756