Explicit Formulae in Probability and in Statistical Physics

被引:3
|
作者
Comtet, Alain [1 ,2 ]
Tourigny, Yves [3 ]
机构
[1] UPMC Univ Paris 6, F-75005 Paris, France
[2] Univ Paris Sud, CNRS, LPTMS, UMR 8626, F-91405 Orsay, France
[3] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England
关键词
WINDING-ANGLE DISTRIBUTION; PLANAR BROWNIAN LOOP; EXPONENTIAL FUNCTIONALS; ASYMPTOTIC LAWS; MOTION; DIFFUSION; DISTRIBUTIONS; MECHANICS; PARTICLE; MODEL;
D O I
10.1007/978-3-319-18585-9_22
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
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.
引用
收藏
页码:505 / 519
页数:15
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