Serguei Popov

activity

20002023

most citedEquilibria in the Tangle

102 citations · 854 across the 53 of their papers we have counts for

collaborators

Showing 2007Show all

3 papers · 1 filter

math.PR2007★ 27 cited

Shape and local growth for multidimensional branching random walks in random environment

Francis Comets, Serguei Popov

We study branching random walks in random environment on the $d$ -dimensional square lattice, $d \geq 1$ . In this model, the environment has finite range dependence, and the populat…

math.PR2007★ 12 cited

The number of open paths in an oriented $ρ$ -percolation model

Francis Comets, Serguei Popov, Marina Vachkovskaia

We study the asymptotic properties of the number of open paths of length $n$ in an oriented $ρ$ -percolation model. We show that this number is $e^{n α (ρ) (1 + o (1))}$ as $n \to \infty$ …

math.PR2007★ 13 cited

Periodicity in the transient regime of exhaustive polling systems

I. M. MacPhee, M. V. Menshikov, S. Popov +1

We consider an exhaustive polling system with three nodes in its transient regime under a switching rule of generalized greedy type. We show that, for the system with Poisson arriv…

Shape and local growth for multidimensional branching random walks in random environment

The number of open paths in an oriented ρ-percolation model

Periodicity in the transient regime of exhaustive polling systems

The number of open paths in an oriented $ρ$ -percolation model