scholarly journals Branching-rate expansion around annihilating random walks

2012 ◽  
Vol 86 (1) ◽  
Author(s):  
Federico Benitez ◽  
Nicolás Wschebor
1998 ◽  
Vol 57 (3) ◽  
pp. 2563-2567 ◽  
Author(s):  
G. Schütz ◽  
K. Mussawisade

2003 ◽  
Vol DMTCS Proceedings vol. AC,... (Proceedings) ◽  
Author(s):  
Massimiliano Mattera

International audience We study annihilating random walks on $\mathbb{Z}$ using techniques of P.W. Kasteleyn and $R$. Kenyonon perfect matchings of planar graphs. We obtain the asymptotic of the density of remaining particles and the partition function of the underlying statistical mechanical model.


1994 ◽  
Vol 50 (3) ◽  
pp. 1843-1850 ◽  
Author(s):  
D. ben-Avraham ◽  
F. Leyvraz ◽  
S. Redner

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