A class of small deviation theorems for Markov chains in bi-infinite random environment

Abstract

In this article, we mainly study a class of small deviation theorems for Markov chains in bi-infinite random environment. First, we give the definition of Markov chains in bi-infinite random environment. Then, we give some lemmas which are the basis of the main results. Finally, a class of small deviation theorems for Markov chains in bi-infinite random environment is established.

Keywords:

• Markov chains
• bi-infinite
• random environment
• small deviation theorems

MATHEMATICS SUBJECT CLASSIFICATION 2000:

• 60F15
• 60J10

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (11971197, 11601191, 11571142), Youth talent cultivation project of Jiangsu University, Young science and technology talents lifting project of Jiangsu association for science and technology.