16 citations · 61 across the 17 of their papers we have counts for
17 papers
Uniformly Bounded Initial Chaos in Large System Often Intensifies Infinitely
A. Lykov, V. Malyshev
We consider infinite harmonic chain with completely deterministic dynamics. Initial data are assumed absolutely bounded. Nevertheless maximum of the variables can grow infinitely i…
Restricted three particle quantum walk on : explicit solution
R. Iasnogorodski, V. Malyshev, A. Zamyatin
We consider 3 particles on . One of them has infinite mass and stands still at . The particles interact only if all of them are at the point . We give a full d…
Convergence to equilibrium for many particle systems
A. A. Lykov, V. A. Malyshev
The goal of this paper is to give a short review of recent results of the authors concerning classical Hamiltonian many particle systems. We hope that these results support the new…
From N-body problem to Euler equations
A. A. Lykov, V. A. Malyshev
This paper contains a rigorous mathematical example of direct derivation of the system of Euler hydrodynamic equations from Hamiltonian equations for N point particle system as N t…
Phase diagram for one-way traffic flow with local control
A. A. Lykov, V. A. Malyshev, M. V. Melikian
We consider one-way road deterministic traffic model with particles. The simplest local control protocol, which reminds physical interaction)\d{ }with three parameters is consi…
Liouville ergodicity of linear multi-particle hamiltonian system with one marked particle velocity flips
A. A. Lykov, V. A. Malyshev
We consider multi-particle systems with linear deterministic hamiltonian dynamics. Besides Liouville measure it has continuum of invariant tori and thus continuum of invariant meas…