Random walks in an inhomogeneous one-dimensional medium with reflecting and absorbing barriers

被引：0
|
作者：
N. E. Ratanov
机构：
[1] Chelyabinsk State University,
来源：
Theoretical and Mathematical Physics | 1997年 / 112卷
关键词：
Cauchy Problem; Explicit Formula; Inhomogeneous Medium; Smoothness Condition; Kolmogorov Equation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A particle moving in inhomogeneous, one-dimensional media is considered. Its velocity changes direction at Poisson times. For such a random process, the backward and forward Kolmogorov equations are derived. The explicit formulas for the probability distributions of this process are obtained, as well as the formulas for similar processes in the presence of reflecting and absorbing barriers.
引用
收藏
页码：857 / 865
页数：8
相关论文
共 50 条
  • [1] Random walks in an inhomogeneous one-dimensional medium with reflecting and absorbing barriers
    Ratanov, NE
    THEORETICAL AND MATHEMATICAL PHYSICS, 1997, 112 (01) : 857 - 865
  • [2] Random Walks between Reflecting and Absorbing Barriers.
    Mironov, M.A.
    Izvestiya Vysshikh Uchebnykh Zavedenij. Radioelektronika, 1974, 17 (04): : 154 - 158
  • [3] One-dimensional quantum walks with absorbing boundaries
    Bach, E
    Coppersmith, S
    Goldschen, MP
    Joynt, R
    Watrous, J
    JOURNAL OF COMPUTER AND SYSTEM SCIENCES, 2004, 69 (04) : 562 - 592
  • [4] Localization in one-dimensional random random walks
    Compte, A
    Bouchaud, JP
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (29): : 6113 - 6121
  • [5] Loops in one-dimensional random walks
    S. Wolfling
    Y. Kantor
    The European Physical Journal B - Condensed Matter and Complex Systems, 1999, 12 : 569 - 577
  • [6] Loops in one-dimensional random walks
    Wolfling, S
    Kantor, Y
    EUROPEAN PHYSICAL JOURNAL B, 1999, 12 (04): : 569 - 577
  • [7] Asymmetric one-dimensional random walks
    Antczak, Grazyna
    Ehrlich, Gert
    JOURNAL OF CHEMICAL PHYSICS, 2008, 129 (12):
  • [8] WAVE-PROPAGATION IN A ONE-DIMENSIONAL RANDOM INHOMOGENEOUS-MEDIUM
    RYZHOV, YA
    RADIO SCIENCE, 1976, 11 (02) : 121 - 126
  • [9] One-dimensional feller semigroups with reflecting barriers
    Campiti, M
    Metafune, G
    Pallara, D
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 244 (01) : 233 - 250
  • [10] RANDOM WALKS IN INHOMOGENEOUS MEDIUM
    Orsingher, E.
    Ratanov, N. E.
    THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2007, 76 : 125 - 137
12345