The Entrance Laws of Self-Similar Markov Processes and Exponential Functionals of Lévy Processes

被引:3
|
作者
Jean Bertoin
Marc Yor
机构
[1] Université Pierre et Marie Curie,Laboratoire de Probabilités et Modèles Aléatoires
[2] Institut universitaire de France,undefined
来源
Potential Analysis | 2002年 / 17卷
关键词
semi-stable Markov process; entrance distribution; Lévy process; exponential functional;
D O I
暂无
中图分类号
学科分类号
摘要
We consider the asymptotic behavior of semi-stable Markov processes valued in ]0,∞[ when the starting point tends to 0. The entrance distribution is expressed in terms of the exponential functional of the underlying Lévy process which appears in Lamperti's representation of a semi-stable Markov process.
引用
收藏
页码:389 / 400
页数:11
相关论文
共 50 条
  • [1] The entrance laws of self-similar Markov processes and exponential functionals of Levy processes
    Bertoin, J
    Yor, M
    [J]. POTENTIAL ANALYSIS, 2002, 17 (04) : 389 - 400
  • [2] Entrance laws for positive self-similar Markov processes
    Rivero, Victor
    [J]. MATHEMATICAL CONGRESS OF THE AMERICAS, 2016, 656 : 119 - 140
  • [3] ENTRANCE LAWS AT THE ORIGIN OF SELF-SIMILAR MARKOV PROCESSES IN HIGH DIMENSIONS
    Kyprianou, Andreas E.
    Rivero, Victor
    Sengul, Bati
    Yang, Ting
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (09) : 6227 - 6299
  • [4] General Self-Similarity Properties for Markov Processes and Exponential Functionals of Lévy Processes
    Grégoire Véchambre
    [J]. Journal of Theoretical Probability, 2022, 35 : 2083 - 2144
  • [5] On Exponential Functionals of Lévy Processes
    Anita Behme
    Alexander Lindner
    [J]. Journal of Theoretical Probability, 2015, 28 : 681 - 720
  • [6] On Exponential Functionals of L,vy Processes
    Behme, Anita
    Lindner, Alexander
    [J]. JOURNAL OF THEORETICAL PROBABILITY, 2015, 28 (02) : 681 - 720
  • [7] Fluctuations of Stable Processes and Exponential Functionals of Hypergeometric Lévy Processes
    A. Kuznetsov
    J. C. Pardo
    [J]. Acta Applicandae Mathematicae, 2013, 123 : 113 - 139
  • [8] ON SUBORDINATORS, SELF-SIMILAR MARKOV PROCESSES AND SOME FACTORIZATIONS OF THE EXPONENTIAL VARIABLE
    Bertoin, Jean
    Yor, Marc
    [J]. ELECTRONIC COMMUNICATIONS IN PROBABILITY, 2001, 6 : 95 - 106
  • [9] Isotropic self-similar Markov processes
    Liao, Ming
    Wang, Longmin
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2011, 121 (09) : 2064 - 2071
  • [10] Conditioned real self-similar Markov processes
    Kyprianou, Andreas E.
    Rivero, Victor M.
    Satitkanitkul, Weerapat
    [J]. STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2019, 129 (03) : 954 - 977