10 citations · 18 across the 5 of their papers we have counts for
5 papers · 1 filter
The new simplest proof of Ceyley's formula and connections with Kirkwood-Salzburg equations
Alexei L. Rebenko
A new very simple proof of the number of labeled rooted forest-graphs with a given number of vertices is given. As a partial case of this formula we have Cayley's formula.
Correlation of clusters: Partially truncated correlation functions and their decay
Tony C. Dorlas, Alexei L. Rebenko, Baptiste Savoie
In this article, we investigate partially truncated correlation functions (PTCF) of infinite continuous systems of classical point particles with pair interaction. We derive Kirkwo…
On quasi-continuous approximation in classical statistical mechanics
Sergey Petrenko, Alexei Rebenko, Maksym Tertychnyi
A continuous infinite system of point particles with strong superstable interaction is considered in the framework of classical statistical mechanics. The family of approximated co…
Quasi-lattice approximation of statistical systems with strong superstable interactions. Correlation functions
Alexei Rebenko, Maksym Tertychnyi
A continuous infinite system of point particles interacting via two-body strong superstable potential is considered in the framework of classical statistical mechanics. We define s…
Gibbs State Uniqueness for Anharmonic Quantum Crystal with a Nonpolynomial Double-Well Potential
Alexei L. Rebenko, Valentin A. Zagrebnov
We construct the Gibbs state for -dimensional quantum crystal with site displacements from , , and with a one-site \textit{non-polynomial} double-well potential,…