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

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

2007-12-04

arxiv.org/abs/0712.0508v2

Physics

Mathematical Physics

7 pages, to appear in Letters in Mathematical Physics

Scientific paper

10.1007/s11005-007-0217-4

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

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