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math.DS2024
Strict Lyapunov functions and energy decay in Hamiltonian chains with degenerate damping
Andrey Dymov, Lev Lokutsievskiy, Andrey Sarychev
We consider a Hamiltonian chain of rotators (in general nonlinear) in which the first rotator is damped. Being motivated by problems of nonequilibrium statistical mechanics of crys…
math.DS2017
A functional limit theorem for the sine-process
Alexander I. Bufetov, Andrey V. Dymov
The main result of this paper is a functional limit theorem for the sine-process. In particular, we study the limit distribution, in the space of trajectories, for the number of pa…