10 citations · 26 across the 8 of their papers we have counts for
8 papers
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…
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…
Shape theorem for a one-dimensional growing particle system with a bounded number of occupants per site
Viktor Bezborodov, Luca Di Persio, Tyll Krueger
We consider a one-dimensional discrete-space birth process with a bounded number of particle per site. Under the assumptions of the finite range of interaction, translation invaria…
Spatial growth processes with long range dispersion: microscopics, mesoscopics, and discrepancy in spread rate
Viktor Bezborodov, Luca Di Persio, Tyll Krueger +1
We consider the speed of propagation of a {continuous-time continuous-space} branching random walk with the additional restriction that the birth rate at any spatial point cannot e…
Asymptotic shape and the speed of propagation of continuous-time continuous-space birth processes
Viktor Bezborodov, Luca Di Persio, Tyll Krueger +2
We formulate and prove a shape theorem for a continuous-time continuous-space stochastic growth model under certain general conditions. Similarly to the classical lattice growth mo…
On random Cameo graphs with independent edges Part I: path connectivity and essential diameter
Philippe Blanchard, Tyll Krueger, Madeleine Sirugue-Collin
We study growth properties of the number of paths of lenght k for a variant of Cameo graphs introduced in an earlier paper. Sharp results are obtained for threshold for the k-path…