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arxiv: 0712.0508 · v2 · submitted 2007-12-04 · 🧮 math-ph · math.MP

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

classification 🧮 math-ph math.MP
keywords diffusive-ballisticlong-rangerandomtransitionwalksclassinteractionsphase
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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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