A TIGHTNESS PROPERTY OF A SYMMETRIC MARKOV PROCESS AND THE UNIFORM LARGE DEVIATION PRINCIPLE

作者：Takeda Masayoshi^*

来源：Proceedings of the American Mathematical Society, 2013, 141(12): 4371-4383.

• Large deviation
• symmetric Markov process
• Dirichlet form

Previously, we considered a large deviation for occupation measures of a symmetric Markov processes under the condition that its resolvent possesses a kind of tightness property. In this paper, we prove that if the Markov process is conservative, then the tightness property implies the uniform hyper-exponential recurrence, which leads us to the uniform large deviation principle.

• 出版日期2013-12