English

Explicit formulae in probability and in statistical physics

Mathematical Physics 2014-10-22 v2 math.MP Probability

Abstract

We consider two aspects of Marc Yor's work that have had an impact in statistical physics: firstly, his results on the windings of planar Brownian motion and their implications for the study of polymers; secondly, his theory of exponential functionals of Levy processes and its connections with disordered systems. Particular emphasis is placed on techniques leading to explicit calculations.

Cite

@article{arxiv.1409.3777,
  title  = {Explicit formulae in probability and in statistical physics},
  author = {Alain Comtet and Yves Tourigny},
  journal= {arXiv preprint arXiv:1409.3777},
  year   = {2014}
}

Comments

14 pages, 2 figures. To appear in Seminaire de Probabilites, Special Issue Marc Yor

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