Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion

Aldo Procacci; Remy Sanchis; Benedetto Scoppola

doi:10.1007/s11005-007-0217-4

Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion

Mathematical Physics 2009-11-13 v2 math.MP

Authors: Aldo Procacci , Remy Sanchis , Benedetto Scoppola

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Abstract

We prove that a class of random walks on $\Z^2$ with long-range self-repulsive interactions have a diffusive-ballistic phase transition.

Keywords

random walk theory

Cite

@article{arxiv.0712.0508,
  title  = {Diffusive-Ballistic Transition in Random Walks with Long-Range Self-Repulsion},
  author = {Aldo Procacci and Remy Sanchis and Benedetto Scoppola},
  journal= {arXiv preprint arXiv:0712.0508},
  year   = {2009}
}