Tanaka's construction for random walks and Levy processes

被引:0
作者
Doney, RA [1 ]
机构
[1] Univ Manchester, Dept Math, Manchester M13 9PL, Lancs, England
来源
SEMINAIRE DE PROBABILITIES XXXVIII | 2005年 / 1857卷
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Tanaka's construction gives a pathwise construction of "random walk conditioned to stay positive", and has recently been used in [3] and [8] to establish other results about this process. In this note we give a simpler proof of Tanaka's construction using a method which also extends to the case of Levy processes.
引用
收藏
页码:1 / 4
页数:4
相关论文
共 50 条
[31]   Random time averaged diffusivities for Levy walks [J].
Froemberg, D. ;
Barkai, E. .
EUROPEAN PHYSICAL JOURNAL B, 2013, 86 (07)
[32]   Levy walks in random scattering and growth of waves [J].
Drysdale, PM ;
Robinson, PA .
PHYSICAL REVIEW E, 2004, 70 (05)
[33]   Levy scaling in random walks with fluctuating variance [J].
Santini, P .
PHYSICAL REVIEW E, 2000, 61 (01) :93-99
[34]   Continuous-time random walks and Levy walks with stochastic resetting [J].
Zhou, Tian ;
Xu, Pengbo ;
Deng, Weihua .
PHYSICAL REVIEW RESEARCH, 2020, 2 (01)
[35]   Mussels realize Weierstrassian Levy walks as composite correlated random walks [J].
Reynolds, Andy M. .
SCIENTIFIC REPORTS, 2014, 4
[36]   Realization of Levy walks as Markovian stochastic processes [J].
Lubashevsky, Ihor ;
Friedrich, Rudolf ;
Heuer, Andreas .
PHYSICAL REVIEW E, 2009, 79 (01)
[37]   Convergence of nonhomogeneous random walks generated by compound Cox processes to generalized variance-gamma Levy processes [J].
Korolev, V. Yu. ;
Korchagin, A. Yu. ;
Zeifman, A. I. .
DOKLADY MATHEMATICS, 2015, 92 (01) :408-411
[38]   A Potential Theoretic Approach to Tanaka Formula for Asymmetric Levy Processes [J].
Tsukada, Hiroshi .
SEMINAIRE DE PROBABILITES XLIX, 2018, 2215 :521-542
[39]   RANDOM WALKS WITH BIVARIATE LEVY-STABLE JUMPS IN COMPARISON WITH LEVY FLIGHTS [J].
Teuerle, Marek ;
Jurlewicz, Agnieszka .
ACTA PHYSICA POLONICA B, 2009, 40 (05) :1333-1340
[40]   Universal Order Statistics for Random Walks & Levy Flights [J].
De Bruyne, Benjamin ;
Majumdar, Satya N. ;
Schehr, Gregory .
JOURNAL OF STATISTICAL PHYSICS, 2023, 190 (01)