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Diffusive limits for "true" (or myopic) self-avoiding random walks and self-repellent Brownian polymers in d >= 3
self-repelling random motion local time central limit theorem
2010/11/29
The problems considered in the present paper have their roots in two different cultures. The ‘true’ (or myopic) self-avoiding walk model (TSAW) was introduced in the physics literature by Amit, Parisi...
First-Passage Exponents of Multiple Random Walks
First-Passage Exponents Multiple Random Walks
2010/12/15
We investigate first-passage statistics of an ensemble of N noninteracting random walks on a line.Starting from a configuration in which all particles are located in the positive half-line, we study S...