A lift of spatially inhomogeneous Markov process to extensions of the field of p-adic numbers

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:121

Article

Kaneko, Hiroshi¹  Tsuzuki, Yoichi² 

[1] Tokyo Univ Sci, Dept Math, Shinjuku Ku, Tokyo 1620827, Japan

[2] NEC Informatec Syst Ltd, Minato Ku, Tokyo 1050014, Japan

关键词: Field extension;    Local field;    Markov process;    Transition probability;   

DOI  :  10.1016/j.spa.2010.10.008

来源: Elsevier

【 摘 要 】

A Markov process on a local field which can be projected to a Markov process on a smaller local field is regarded as a lift of the one on the smaller field. The first part of this article is concerned with a Markov process on a local field which is obtained as the one projected from a larger field by means of the algebraic trace. Since the explicit expression of the transition probability plays important roles in a study of Markov processes on local fields, the second part is devoted to finding an explicit expression for the Markov process. (c) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free