3 citations · 4 across the 5 of their papers we have counts for
5 papers
Cumulant expansions of operator groups of quantum many-particle systems
V. I. Gerasimenko, I. V. Gapyak
The article presents a method of cluster expansions for groups of operators associated with the von Neumann equations for states and the Heisenberg equations for observables, aimin…
Cluster expansions of particle system state with topological nearest-neighbor interaction
V. I. Gerasimenko, I. V. Gapyak
The article presents the concept of a cumulant representation for distribution functions describing the states of many-particle systems with topological nearest-neighbor interactio…
Towards kinetic equations of open systems of active soft matter
V. I. Gerasimenko
The chapter presents some new approaches to describing the collective behavior of complex systems of mathematical biology based on the evolution equations of observables such as op…
Advances in theory of evolution equations of many colliding particles
V. I. Gerasimenko, I. V. Gapyak
The review presents rigorous results of the theory of fundamental equations of evolution of many-particle systems with collisions and also considers their connection with nonlinear…
Non-perturbative solutions of hierarchies of evolution equations for colliding particles
V. I. Gerasimenko, I. V. Gapyak
The article deals with the challenge of the construction of solutions to hierarchies of fundamental evolution equations for many colliding particles. The method of cluster expansio…