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math-ph2007★ 2 cited
Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion
Aldo Procacci, Remy Sanchis, Benedetto Scoppola
We prove that a class of random walks on with long-range self-repulsive interactions have a diffusive-ballistic phase transition.
math-ph2006★ 1 cited
Decay Properties of the Connectivity for Mixed Long Range Percolation Models on
Gastao A. Braga, Leandro M. Cioletti, Remy Sanchis
In this short note we consider mixed short-long range independent bond percolation models on . Let be the probability that the edge will be open. Allowin…