3 papers
math.DS2016
Stochastic Fixed Points and Nonlinear Perron-Frobenius Theorem
E. Babaei, I. V. Evstigneev, S. A. Pirogov
We provide conditions for the existence of measurable solutions to the equation , where is an automorphism of the probability space and $f(ω,…
math.PR2014
Dynamics of Tectonic Plates
E. Pechersky, A. Pirogov, G. Sadowski +1
We suggest a model that describes a mutual dynamic of tectonic plates. The dynamic is a sort of stick-slip one which is modeled by a Markov random process. The process defines a mi…
math-ph2010
Phase Transition of Laminated Models at Any Temperature
Eugene Pechersky, Elena Petrova, Sergey Pirogov
The standard Pirogov -- Sinai theory is generalized to the class of models with two modes of interaction: longitudinal and transversal. Under rather general assumptions about the l…