TY  - JOUR
A1  - Greven, Andreas
A1  - Klenke, Achim
A1  - Wakolbinger, Anton
T1  - The longtime behavior of branching random walk in a catalytic medium
T2  - Electronic journal of probability
N2  - We consider catalytic branching random walk (the reactant) where the state space is a countable Abelean group. The branching is critical binary and the local branching rate is given by a catalytic medium. Here the medium is itself an autonomous (ordinary) branching random walk (the catalyst) - maybe with a different motion law. For persistent catalyst (transient motion) the reactant shows the usual dichotomy of persistence versus extinction depending on transience or recurrence of its motion. If the catalyst goes to local extinction it turns out that the longtime behaviour of the reactant ranges (depending on its motion) from local extinction to free random walk with either deterministic or random global intensity of particles.
KW  - branching random walk in random medium
KW  - reactant-catalyst systems
KW  - interacting particle Systems
KW  - random media
Y1  - 2014
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/32890
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-328905
SN  - 1083-6489
N1  - This work is licensed under a Creative Commons Attribution 3.0 License http://creativecommons.org/licenses/by/3.0/ .
VL  - 4
IS  - 12
PB  - EMIS ELibEMS
CY  - [Madralin]
ER  -