Infinite moments of the partition function for random walks in a random potential

1998 ◽  
Vol 39 (4) ◽  
pp. 2019-2034
Author(s):  
Lester N. Coyle
Keyword(s):  
Partition Function ◽  
Random Walks ◽  
Random Potential ◽  
Infinite Moments

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.

scholarly journals Reconstructing a random potential from its random walks

2007 ◽  
Vol 81 (2) ◽  
pp. 20002 ◽  
Author(s):  
S. Cocco ◽  
R. Monasson
Keyword(s):  
Random Walks ◽  
Random Potential
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