1. Quenched large deviations in renewal theory.
- Author
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den Hollander, Frank and Zamparo, Marco
- Subjects
- *
LARGE deviation theory , *POISSON processes , *STOCHASTIC processes , *MARKOV processes , *LARGE deviations (Mathematics) , *DEVIATION (Statistics) , *FLUX pinning - Abstract
In this paper we introduce and study renewal–reward processes in random environments where each renewal involves a reward taking values in a Banach space. We derive quenched large deviation principles and identify the associated rate functions in terms of variational formulas involving correctors. We illustrate the theory with three examples: compound Poisson processes in random environments, pinning of polymers at interfaces with disorder, and returns of Markov chains in dynamic random environments. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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