Serguei Popov

activity

20002023

most citedEquilibria in the Tangle

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

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Showing 2005 · math.PRShow all

3 papers · 2 filters

math.PR2005★ 4 cited

Percolation for the stable marriage of Poisson and Lebesgue

Marcelo Ventura Freire, Serguei Popov, Marina Vachkovskaia

Let $Ξ$ be the set of points (we call the elements of $Ξ$ centers) of Poisson process in $R^{d}$ , $d \geq 2$ , with unit intensity. Consider the allocation of $R^{d}$ to $Ξ$ which is s…

math.PR2005

On multidimensional branching random walks in random environment

Francis Comets, Serguei Popov

We study branching random walks in random i.i.d. environment in $Z^{d}, d \geq 1$ . For this model, the population size cannot decrease, and a natural definition of recurrence is int…

math.PR2005

Random walk attracted by percolation clusters

Serguei Popov, Marina Vachkovskaia

Starting with a percolation model in $Z^{d}$ in the subcritical regime, we consider a random walk described as follows: the probability of transition from $x$ to $y$ is proportional…