62 citations · 675 across the 109 of their papers we have counts for
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Phase Transitions and Quantum Stabilization in Quantum Anharmonic Crystals
Alina Kargol, Yuri Kondratiev, Yuri Kozitsky
A unified theory of phase transitions and quantum effects in quantum anharmonic crystals is presented. In its framework, the relationship between these two phenomena is analyzed. T…
Markov evolutions and hierarchical equations in the continuum I. One-component systems
Dmitri L. Finkelshtein, Yuri G. Kondratiev, Maria Joao Oliveira
General birth-and-death as well as hopping stochastic dynamics of infinite particle systems in the continuum are considered. We derive corresponding evolution equations for correla…
Markov Process of Muscle Motors
Yu. Kondratiev, E. Pechersky, S. Pirogov
We study a Markov random process describing a muscle molecular motor behavior. Every motor is either bound up with a thin filament or unbound. In the bound state the motor creates…
Diffusion approximation for equilibrium Kawasaki dynamics in continuum
Y. G. Kondratiev, O. V. Kutoviy, E. W. Lytvynov
A Kawasaki dynamics in continuum is a dynamics of an infinite system of interacting particles in which randomly hop over the space. In this paper, we deal with an equ…