9 papers · 1 filter
Biased branching random walks on Bienaymé--Galton--Watson trees
Julien Berestycki, Nina Gantert, David Geldbach +1
We study -biased branching random walks on Bienaymé--Galton--Watson trees in discrete time. We consider the maximal displacement at time , $\max_{\vert u \vert =n} \vert X(…
Large deviations for sums of multivariate stretched-exponential random variables: the few-big-jumps principle
Nina Gantert, Joscha Prochno, Philipp Tuchel
Large deviations for sums of i.i.d.\ random variables with stretched-exponential tails (also called Weibull or semi-exponential tails) have been well understood since the 60's, goi…
The maximal displacement of radially symmetric branching random walk in
Viktor Bezborodov, Nina Gantert
We consider discrete-time branching random walks with a radially symmetric distribution. Independently of each other individuals generate offspring whose relative locations are giv…
Poisson Representable Processes
Malin P. Forsström, Nina Gantert, Jeffrey E. Steif
Motivated by Alain-Sol Sznitman's interlacement process, we consider the set of -valued processes which can be constructed in an analogous way, namely as a union of sets c…
The TASEP on Galton-Watson trees
Nina Gantert, Nicos Georgiou, Dominik Schmid
We study the totally asymmetric simple exclusion process (TASEP) on trees where particles are generated at the root. Particles can only jump away from the root, and they jump from…
Biased random walk on dynamical percolation
Sebastian Andres, Nina Gantert, Dominik Schmid +1
We study biased random walks on dynamical percolation on . We establish a law of large numbers and an invariance principle for the random walk using regeneration time…