Asymptotic behavior for some degenerate models of the time evolution of systems with an infinite number of particles

The paper is devoted to the problem of convergence to the equilibrium state in the motion of infinite systems of classical particles. Two models of the motion are considered: free motion of point particles in Euclidean space $R^\nu$, $\nu\ge1$, and motion of solid rods on the line $R^1$. The paper contains new results obtained by the authors and also a survey of previous results in this direction.
K. Boldrigini took part in the work on the paper.