1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.PR2022★ 1 cited
Formalizing Elements of Probabilistic Mechanics
Farida Kachapova, Ilias Kachapov
In this paper we create a model of particle motion on a three-dimensional lattice using discrete random walk with small steps. We rigorously construct a probability space of the pa…
math.PR2018
Alternative proof of existence of Gibbs measure at high temperature
Farida Kachapova, Ilias Kachapov
Mathematical models in equilibrium statistical mechanics describe physical systems with many particles interacting with an external force and with one another. Gibbs measure is a f…
math.PR2015
Application of semi-invariants to proof of the central limit theorem on a lattice
Farida Kachapova, Ilias Kachapov
Statistical mechanics describes interaction between particles of a physical system. Particle properties of the system can be modelled with a random field on a lattice and studied a…