8 citations · 8 across the 1 of their papers we have counts for
2 papers
math-ph2013★ 8 cited
Dynamical phase transition in the simplest molecular chain model
V. A. Malyshev, S. A. Muzychka
We consider the dynamics of the simplest chain of large number of particles. We find, in the double scaling limit, the partition of the parameter space onto two domains, where…
math-ph2011
A class of nonlinear random walks related to the Ornstein-Uhlenbeck process
S. A. Muzychka, K. L. Vaninsky
Contrary to the theory of Markov processes, no general theory exists for the so called nonlinear Markov processes. We study an example of "nonlinear Markov process" related to clas…