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Laplace transformation and ergodic potential kernel for q-process in random environment

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Wuhan University Journal of Natural Sciences

Abstract

This paper introduces some concepts such as q-process in random environment, Laplace transformation, ergodic potential kernel, error function and some basic lemmas. We study the continuity and Laplace transformation of random transition function. Finally, we give the sufficient condition for the existence of ergodic potential kernel for homogeneous q-processes in random environments.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, Hubei, China

    Lü Ping & Hu Dihe

  2. School of Mathematics and Statistics, Yunnan University, Kunming, 650091, Yunnan, China

    Hu Dihe

Authors
  1. Lü Ping
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  2. Hu Dihe
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Corresponding author

Correspondence to Hu Dihe.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China (10371092)

Biography: LÜ Ping(1980-), male, Ph.D. candidate, research direction: stochastic process and random fractals.

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Lü, P., Hu, D. Laplace transformation and ergodic potential kernel for q-process in random environment. Wuhan Univ. J. of Nat. Sci. 12, 218–224 (2007). https://doi.org/10.1007/s11859-006-0011-7

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  • DOI: https://doi.org/10.1007/s11859-006-0011-7

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