Analyticity of the entropy for some random walks

被引：11
|
作者：
Ledrappier, Francois [1 ]
机构：
[1] Univ Paris 06, CNRS, UMR 7599, LPMA, F-75252 Paris 05, France
来源：
GROUPS GEOMETRY AND DYNAMICS | 2012年 / 6卷 / 02期
基金：
美国国家科学基金会;
关键词：
Entropy; free group; PRODUCTS; DRIFT;
D O I：
10.4171/GGD/159
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider non-degenerate, finitely supported random walks on a free group. We show that the entropy and the linear drift vary analytically with the probability of constant support.
引用
收藏
页码：317 / 333
页数：17
相关论文
共 50 条
  • [31] Introduction to random walks on homogeneous spaces
    Benoist, Yves
    Quint, Jean-Francois
    JAPANESE JOURNAL OF MATHEMATICS, 2012, 7 (02): : 135 - 166
  • [32] Stationary coalescing walks on the lattice II: entropy
    Chaika, Jon
    Krishnan, Arjun
    NONLINEARITY, 2021, 34 (10) : 7045 - 7063
  • [33] On the pertinence to Physics of random walks induced by random dynamical systems: a survey
    Petritis, Dimitri
    5TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELING IN PHYSICAL SCIENCES (IC-MSQUARE 2016), 2016, 738
  • [34] Phase transition for random walks on graphs with added weighted random matching
    Baran, Zsuzsanna
    Hermon, Jonathan
    Sarkovic, Andela
    Sousi, Perla
    PROBABILITY THEORY AND RELATED FIELDS, 2024,
  • [35] Entropy and random vectors
    Johnson, O
    Suhov, Y
    JOURNAL OF STATISTICAL PHYSICS, 2001, 104 (1-2) : 145 - 165
  • [36] Multifractal Random Walks as Fractional Wiener Integrals
    Abry, Patrice
    Chainais, Pierre
    Coutin, Laure
    Pipiras, Vladas
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2009, 55 (08) : 3825 - 3846
  • [37] A note on the Poisson boundary of lamplighter random walks
    Sava, Ecaterina
    MONATSHEFTE FUR MATHEMATIK, 2010, 159 (04): : 379 - 396
  • [38] Large deviations for the local fluctuations of random walks
    Barral, Julien
    Loiseau, Patrick
    STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2011, 121 (10) : 2272 - 2302
  • [39] A Chernoff bound for random walks on expander graphs
    Gillman, D
    SIAM JOURNAL ON COMPUTING, 1998, 27 (04) : 1203 - 1220
  • [40] Entropy and Random Vectors
    Oliver Johnson
    Yurii Suhov
    Journal of Statistical Physics, 2001, 104 : 145 - 165
12345