Abstract
We prove that a class of random walks on \({\mathbb{Z}}^2\) with long-range self-repulsive interactions have a diffusive-ballistic phase transition.
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Procacci, A., Sanchis, R. & Scoppola, B. Diffusive–Ballistic Transition in Random Walks with Long-Range Self-Repulsion. Lett Math Phys 83, 181–187 (2008). https://doi.org/10.1007/s11005-007-0217-4
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DOI: https://doi.org/10.1007/s11005-007-0217-4