3 papers
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…
math.PR2006
On quasi successful couplings of Markov processes
Michael Blank, Sergey Pirogov
The notion of a successful coupling of Markov processes, based on the idea that both components of the coupled system ``intersect'' in finite time with probability one, is extended…