4 citations · 6 across the 15 of their papers we have counts for
15 papers
Energy Escape to Infinity for Systems with Infinite Number of Particles
V. A. Malyshev, A. A. Zamyatin
Here we consider system of infinite number of particles where any particle cannot escape to infinity. We define what means escape of energy to infinity and apply this notion to the…
Regular Dynamics and Collisions Inside Classical Closed String
V. A. Malyshev, A. A. Zamyatin
We consider classical closed string with particles inside. Taking collisions into account, we consider dynamics of this -particle system under the influence of constant exte…
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…
One-dimensional quantum walks with a general perturbation of the radius 1
M. Ryazanov, A. Zamyatin
We give a complete description of the discrete spectrum of one-dimensional Hamiltonian with a general perturbation of the radius .
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.
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…
Deformation quantization on jet manifolds
G. Sardanashvily, A. Zamyatin
Deformation quantization conventionally is described in terms of multidifferential operators. Jet manifold technique is well-known provide the adequate formulation of theory of dif…
One-dimensional Coulomb multi-particle systems
V. A. Malyshev, A. A. Zamyatin
We consider the system of particles with equal charges and nearest neighbour Coulomb interaction on the interval. We study local properties of this system, in particular the distri…
Mathematics for some classes of networks
V. A. Malyshev, A. A. Zamyatin
Network (as a general notion) is not a mathematical object - there is no even any definition. However, there is a lot of good rigorous mathematics for well-defined classes of netwo…
On Large Densities in Fermi Systems
V. A. Malyshev, A. A. Zamyatin
The goal of this paper is to give some rigorous results, concerning high density behavior of Fermi systems.
Accumulation on the boundary for one-dimensional stochastic particle system
V. A. Malyshev, A. A. Zamyatin
We consider infinite particle system on the positive half-line moving independently of each other. When a particle hits the boundary it immediately disappears, and the boundary mov…
Homeostasis in Chemical Reaction Pathways
V. A. Malyshev, A. D. Manita, A. A. Zamyatin
We consider stochastic models of chemical reaction networks with time dependent input rates and several types of molecules. We prove that, in despite of strong time dependence of i…
Processes with a Local Deterministic Interaction: Invariant Bernoulli Measures
V. A. Malyshev, A. A. Zamyatin
A general class of Markov processes with a local interaction is introduced, which includes exclusion and Kawasaki processes as a very particular case. Bernoulli invariant measures…
Introduction to stochastic models of transportation flows. Part I
V. A. Malyshev, A. A. Zamyatin
We consider here probabilistic models of transportation flows. The main goal of this introduction is rather not to present various techniques for problem solving but to present som…
Explicit asymptotic velocity of the boundary between particles and antiparticles
V. A. Malyshev, A. D. Manita, A. A. Zamyatin
On the real line initially there are infinite number of particles on the positive half-line., each having one of negative velocities . Similarly, t…