scholarly journals The critical branching random walk in a random environment dies out

2013 ◽  
Vol 18 (0) ◽  
Author(s):  
Olivier Garet ◽  
Régine Marchand
Keyword(s):  
Random Walk ◽  
Random Environment ◽  
Branching Random Walk ◽  
Critical Branching Random Walk

scholarly journals A Variational Approach to Branching Random Walk in Random Environment

1993 ◽  
Vol 21 (1) ◽  
pp. 290-317 ◽  
Author(s):  
J.-B. Baillon ◽  
Ph. Clement ◽  
A. Greven ◽  
F. Den Hollander
Keyword(s):  
Random Walk ◽  
Random Environment ◽  
Variational Approach ◽  
Branching Random Walk

scholarly journals On the tail of the branching random walk local time

2020 ◽  
Author(s):  
Omer Angel ◽  
Tom Hutchcroft ◽  
Antal Járai
Keyword(s):  
Random Walk ◽  
Local Time ◽  
Single Particle ◽  
Branching Random Walk ◽  
Exponential Moment ◽  
Offspring Distribution ◽  
Critical Branching Random Walk ◽  
Number Of Particles

Abstract Consider a critical branching random walk on $$\mathbb Z^d$$ Z d , $$d\ge 1$$ d ≥ 1 , started with a single particle at the origin, and let L(x) be the total number of particles that ever visit a vertex x. We study the tail of L(x) under suitable conditions on the offspring distribution. In particular, our results hold if the offspring distribution has an exponential moment.

Sign in / Sign up

Export Citation Format

Share Document