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Large Deviations for Hitting Times of a Random Walk in Random Environment on a Strip 被引量：1

Large Deviations for Hitting Times of a Random Walk in Random Environment on a Strip
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摘要 We consider a random walk in random environment on a strip, which is transient to the right. The random environment is stationary and ergodic. By the constructed enlarged random environment which was first introduced by Goldsheid （2008）, we obtain the large deviations conditioned on the environment （in the quenched case） for the hitting times of the random walk. We consider a random walk in random environment on a strip, which is transient to the right. The random environment is stationary and ergodic. By the constructed enlarged random environment which was first introduced by Goldsheid （2008）, we obtain the large deviations conditioned on the environment （in the quenched case） for the hitting times of the random walk.
作者 Mei Juan ZHANG
机构地区 School of Statistics and Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第3期395-410,共16页 数学学报（英文版）
关键词 Random walk in random environment STRIP large deviations quenched enlarged randomenvironment Random walk in random environment, strip, large deviations, quenched, enlarged randomenvironment
分类号 O211.6 [理学—概率论与数理统计]
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参考文献10

  • 1Bolthausen, E., Goldsheid, I.: Recurrence and transience of random walks in random environments on a strip. Comm. Math. Phys., 214, 429-447 (2000).
  • 2Bolthausen, E., Goldsheid, I.: Lingering random walks in random environment on a strip. Comm. Math. Phys., 278, 253-288 (2008).
  • 3Comet, F., Gantert, N., Zeitouni, O.: Quenched, annealed and functional large deviations for one dimen- sional random walk in random environment. Probab. Theory Related Fields, 118, 65-144 (2000).
  • 4Dembo, A., Zeitouni, O.: Large Deviations Techniques and Applications, Springer-Verlag, New York, 1998.
  • 5Goldsheid, I.: Linear and sub-linear growth and the CLT for hitting times of a random walk in random environments on a strip. Probab. Theory Related Fields, 141, 471-511 (2008).
  • 6Greven, A., Hollander, F. D.: Large deviations for a random walk in random environment. Ann. Probab., 22, 1381-1428 (1994).
  • 7Hong, W. M., Zhang, M. J.: Branching structure for the transient random walk in a random environment on a strip and its application. Submitted (2013+).
  • 8Roitershtein, A.: Transient random walks on a strip in a random environment. Ann. Probab., 36, 2354-2387 (2008).
  • 9Yilmaz, A.: Quenched large deviations for random walks in a random environment. Comm. Pure Appl. Math., 62(8), 1033-1075 (2009).
  • 10Zeitouni, O.: Random Walks in Random Environment, Lecture Notes in Math 1837, Springer-Verlag, Berlin Heidelberg, 2004, 189-312.

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Acta Mathematica Sinica,English Series
2014年 第3期

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