9 citations · 43 across the 26 of their papers we have counts for
27 papers
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…
Dynamics of finite inhomogeneous particle systems with exclusion interaction
Vadim Malyshev, Mikhail Menshikov, Serguei Popov +1
We study finite particle systems on the one-dimensional integer lattice, where each particle performs a continuous-time nearest-neighbour random walk, with jump rates intrinsic to…
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…
Regular continuum systems of point particles. I: systems without interaction
V. N. Chubarikov, A. A. Lykov, V. A. Malyshev
Normally, in mathematics and physics, only point particle systems, which are either finite or countable, are studied. We introduce new formal mathematical object called regular con…