The explicit form of the rate function for semi-Markov processes and its contractions
The explicit form of the rate function for semi-Markov processes and its contractions
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DOI：
10.1088/1751-8121/aaab6d
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发表时间：
2017-09
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通讯作者：
Yuki Sughiyama;Testuya J. Kobayashi
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作者：
Yuki Sughiyama;Testuya J. Kobayashi
本文给出了半马尔可夫过程速率函数的显式表达式。在这里，“随机时间变化技巧”起着至关重要的作用。此外，通过利用大偏差理论的收缩原理的显式形式，我们表明波动定理（Gallavotti-Cohen对称性）半马尔可夫情况下成立。此外，我们阐明，我们的率函数是一个扩展的水平2.5率函数的马尔可夫过程半马尔可夫的情况下。
We derive the explicit form of the rate function for semi-Markov processes. Here, the ‘random time change trick’ plays an essential role. Also, by exploiting the contraction principle of large deviation theory to the explicit form, we show that the fluctuation theorem (Gallavotti–Cohen symmetry) holds for semi-Markov cases. Furthermore, we elucidate that our rate function is an extension of the level 2.5 rate function for Markov processes to semi-Markov cases.