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

作者：Kaneko Hiroshi^*; Tsuzuki Yoichi

来源：Stochastic Processes and Their Applications, 2011, 121(2): 394-405.

DOI：10.1016/j.spa.2010.10.008

• Field extension
• Local field
• Markov process
• Transition probability

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.

• 出版日期2011-2