6 citations · 22 across the 19 of their papers we have counts for
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math.PR2020★ 4 cited
Non-triviality in a totally asymmetric one-dimensional Boolean percolation model on a half-line
Viktor Bezborodov
It is well known that there are two regimes in a standard one-dimensional Boolean percolation model: either the entire space is covered a.s., or the covered volume fraction is stri…
math.PR2020★ 2 cited
Linear and superlinear spread for continuous-time frog model
Viktor Bezborodov, Tyll Krueger
Consider a stochastic growth model on . Start with some active particle at the origin and sleeping particles elsewhere. The initial number of particles at $x \in \ma…
math.PR2020★ 3 cited
The continuous-time frog model can spread arbitrarily fast
Viktor Bezborodov, Luca Di Persio, Tyll Krueger
The aim of this work is to demonstrate that the continuous-time frog model can spread arbitrary fast. The set of sites visited by an active particle can become infinite in a finite…