Seminars: M. V. Platonova, On a mean number of particles for a branching random walk on a lattice with periodic branching sources

SEMINARS


Principle Seminar of the Department of Probability Theory, Moscow State University February 28, 2018, Moscow, MSU, auditorium 12-24

On a mean number of particles for a branching random walk on a lattice with periodic branching sources M. V. Platonova Chebyshev Laboratory, St. Petersburg State University, Department of Mathematics and Mechanics
Abstract: The talk is about the branching random walk on a lattice with continuous time and branching sources placed periodically. The spectral properties of an operator describing the evolution of a mean number of particles in any lattice point are studied. It is proved the existence of a positive continuous spectrum of this operator which leads to an exponential increasing of a mean number of particles.