12 citations · 12 across the 3 of their papers we have counts for
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math-ph2020★ 12 cited
The Boltzmann-Grad asymptotic behavior of collisional dynamics: a brief survey
V. I. Gerasimenko, I. V. Gapyak
The article discusses some of the latest advances in the mathematical understanding of the nature of kinetic equations that describe the collective behavior of many-particle system…
math-ph2020
On Operators Generated by Density Matrix
V. I. Gerasimenko
In this survey the possible approaches to the description of the evolution of states of quantum many-particle systems by means of the possible modifications of the density operator…
math-ph2008
On the Initial-Value Problem to the Quantum Dual BBGKY Hierarchy
G. Borgioli, V. Gerasimenko
We develop a rigorous formalism for the description of the evolution of observables in quantum systems of particles. We construct a solution of the initial-value problem to the qua…