9 citations · 11 across the 7 of their papers we have counts for
7 papers · 1 filter
Introduction to Micro Life of Graphs. I
V. A. Malyshev, A. A. Zamyatin
Multiparticle systems on complicated metric graphs might have many applications in physics, biology and social life. But the corresponding science still does not exist. Here we sta…
How Smooth Should be the System Initially to Escape Unbounded Chaos
A. Lykov, V. Malyshev
We consider infinite harmonic chain on the real line with deterministic dynamics (no stochasticity). We indicate classes of uniformly bounded initial conditions when the trajectori…
One particle subspaces for two particle quantum walks with ultralocal interaction
V. Malyshev, A. Zamyatin
We study one particle subspaces for two particles of different masses with ultra local interaction on a lattice of arbitrary dimension.
Convergence to equilibrium due to collisions with external particles
Alexandr Lykov, Vadim Malyshev
We consider a class of "most non ergodic" particle systems and prove that for most of them ergodicity appears if only one particle of N has contact with external world, that is thi…
Linear Hamiltonian Systems under Microscopic Random Influence
A. A. Lykov, V. A. Malyshev
It is known that a linear hamiltonian system has too many invariant measures, thus the problem of convergence to Gibbs measure has no sense. We consider linear hamiltonian systems…
Harmonic Chain with Weak Dissipation
A. A. Lykov, V. A. Malyshev
We consider finite harmonic chain (consisting of N classical particles) plus dissipative force acting on one particle (called dissipating particle) only. We want to prove that "in…