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math-ph2018
Invariant measures for spatial contact model in small dimensions
Yuri Kondratiev, Oleksandr Kutoviy, Sergey Pirogov +1
We study invariant measures of continuous contact model in small dimensional spaces (). Under general conditions we prove that in the critical regime this system has the on…
math-ph2016
A quasispecies continuous contact model in a critical regime
Yuri Kondratiev, Sergey Pirogov, Elena Zhizhina
We study a new non-equilibrium dynamical model: a marked continuous contact model in -dimensional space (). We prove that for certain values of rates (the critical regi…
math-ph2007
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…