STATISTICAL TOPOLOGY OF RANDOM WALKS
Laboratoire de physique théorique et de modèles statistiques, Universite Paris-SudWe discuss few interlinked topics in statistics of entangled random walks: conformal methods in topology of random path on multi-punctured plane, random walks on graphs and groups (including braid groups), "matrix-valued" Brownian bridges and random walks in Lobachevsky geometry. We explain how all these subjects help in understanding topology and fractal structure of strongly collapsed unknotted ring polymer chain.
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