4 papers
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…