scholarly journals Branching and annihilating random walks: Exact results at low branching rate

2013 ◽  
Vol 87 (5) ◽  
Author(s):  
Federico Benitez ◽  
Nicolás Wschebor
Keyword(s):  
Random Walks ◽  
Exact Results ◽  
Annihilating Random Walks

scholarly journals Branching-annihilating random walks in one dimension: some exact results

1998 ◽  
Vol 31 (19) ◽  
pp. 4381-4394 ◽  
Author(s):  
K Mussawisade ◽  
J E Santos ◽  
G M Schütz
Keyword(s):  
Random Walks ◽  
One Dimension ◽  
Exact Results ◽  
Annihilating Random Walks

scholarly journals Annihilating random walks in one-dimensional disordered media

1998 ◽  
Vol 57 (3) ◽  
pp. 2563-2567 ◽  
Author(s):  
G. Schütz ◽  
K. Mussawisade
Keyword(s):  
Random Walks ◽  
Disordered Media ◽  
One Dimensional ◽  
Annihilating Random Walks

scholarly journals Annihilating random walks and perfect matchings of planar graphs

2003 ◽  
Vol DMTCS Proceedings vol. AC,... (Proceedings) ◽  
Author(s):  
Massimiliano Mattera
Keyword(s):  
Partition Function ◽  
Random Walks ◽  
Mechanical Model ◽  
Planar Graphs ◽  
Perfect Matchings ◽  
Statistical Mechanical Model ◽  
International Audience ◽  
Statistical Mechanical ◽  
Annihilating Random Walks

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.

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