critical branching random walk
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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.

Steady state and intermittency in the critical branching random walk with arbitrary total number of offspring

2018 ◽  
Vol 26 (1) ◽  
pp. 47-63 ◽  
Author(s):  
Elena Chernousova ◽  
Stanislav Molchanov
Keyword(s):  
Random Walk ◽  
Steady State ◽  
Branching Random Walk ◽  
Critical Branching Random Walk

scholarly journals Electrical Resistance of the Low Dimensional Critical Branching Random Walk

2014 ◽  
Vol 331 (1) ◽  
pp. 67-109 ◽  
Author(s):  
Antal A. Járai ◽  
Asaf Nachmias
Keyword(s):  
Random Walk ◽  
Electrical Resistance ◽  
Branching Random Walk ◽  
Low Dimensional ◽  
Critical Branching Random Walk

scholarly journals On the maximal displacement of critical branching random walk

2014 ◽  
Vol 162 (1-2) ◽  
pp. 71-96 ◽  
Author(s):  
Steven P. Lalley ◽  
Yuan Shao
Keyword(s):  
Random Walk ◽  
Branching Random Walk ◽  
Maximal Displacement ◽  
Critical Branching Random Walk

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 Local Particles Numbers in Critical Branching Random Walk

2012 ◽  
Vol 27 (3) ◽  
pp. 878-898 ◽  
Author(s):  
Ekaterina Vladimirovna Bulinskaya
Keyword(s):  
Random Walk ◽  
Branching Random Walk ◽  
Critical Branching Random Walk

scholarly journals Critical branching random walk in an IID environment

2011 ◽  
Vol 17 (2) ◽  
Author(s):  
János Engländer ◽  
Nándor Sieben
Keyword(s):  
Random Walk ◽  
Branching Random Walk ◽  
Critical Branching Random Walk
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