Impatient Random Walk

被引:0
|
作者
János Engländer
Stanislav Volkov
机构
[1] University of Colorado,Department of Mathematics
[2] Lund University,Centre for Mathematical Sciences
来源
关键词
Random walk; Impatient random walk; Ageing random walk; Passage generating function; Transience; Recurrence; 60J10;
D O I
暂无
中图分类号
学科分类号
摘要
We introduce a new type of random walk where the definition of edge repellence/reinforcement is very different from the one in the “traditional” reinforced random walk models and investigate its basic properties, such as null versus positive recurrence, transience, as well as the speed. The two basic cases will be dubbed “impatient” and “ageing” random walks.
引用
收藏
页码:2020 / 2043
页数:23
相关论文
共 50 条
  • [1] Impatient Random Walk
    Englander, Janos
    Volkov, Stanislav
    JOURNAL OF THEORETICAL PROBABILITY, 2019, 32 (04) : 2020 - 2043
  • [2] Random Walk on the Range of Random Walk
    David A. Croydon
    Journal of Statistical Physics, 2009, 136 : 349 - 372
  • [3] A random walk on a random walk path
    Grill, K
    ASYMPTOTIC METHODS IN PROBABILITY AND STATISTICS: A VOLUME IN HONOUR OF MIKLOS CSORGO, 1998, : 235 - 242
  • [4] Random Walk on the Range of Random Walk
    Croydon, David A.
    JOURNAL OF STATISTICAL PHYSICS, 2009, 136 (02) : 349 - 372
  • [5] RANDOM-WALK ON A RANDOM-WALK
    KEHR, KW
    KUTNER, R
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1982, 110 (03) : 535 - 549
  • [6] Directed random walk with random restarts: The Sisyphus random walk
    Montero, Miquel
    Villarroel, Javier
    PHYSICAL REVIEW E, 2016, 94 (03)
  • [7] On random random walk
    Roichman, Y
    ANNALS OF PROBABILITY, 1996, 24 (02): : 1001 - 1011
  • [8] Random walk on barely supercritical branching random walk
    van der Hofstad, Remco
    Hulshof, Tim
    Nagel, Jan
    PROBABILITY THEORY AND RELATED FIELDS, 2020, 177 (1-2) : 1 - 53
  • [9] Analysis of queues in a random environment with impatient customers
    Sen-lin Yu
    Zai-ming Liu
    Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 : 837 - 850
  • [10] Random walk on barely supercritical branching random walk
    Remco van der Hofstad
    Tim Hulshof
    Jan Nagel
    Probability Theory and Related Fields, 2020, 177 : 1 - 53