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Contents
 
Contents
Random Walks on a Fluctuating Lattice
Gerald John Lapeyre
Contents
List of Figures
Introduction
The Fluctuating Bond Random Walk
Definition of the Model
Monte Carlo Simulations
Diffusive Behavior of the Model
Percolation Theory
Random Walks on the Static Lattice
Scaling behavior of
in the FBRW
Random Walks on the Bethe Lattice
Expansions in Model Parameters
Expansion of
About
Expansion of
About
The Renormalization Group Technique
The RG technique
Results of the RG Technique
Behavior of the RG for large
Asymptotic Distribution
The Process
Stationarity of
Central Limit Theorem
Conclusions
Average Approximates
for the Bethe Lattice
Bibliography
About this document ...
John Lapeyre 2003-12-09