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• W3161760495 abstract "We establish sharp large deviation principles for cumulative rewards associated with a discrete-time renewal model, supposing that each renewal involves a broad-sense reward taking values in a real separable Banach space. The framework we consider is the pinning model of polymers, which amounts to a Gibbs change of measure of a classical renewal process and includes it as a special case. We first tackle the problem in a constrained pinning model, where one of the renewals occurs at a given time, by an argument based on convexity and super-additivity. We then transfer the results to the original pinning model by resorting to conditioning." @default.
• W3161760495 created "2021-05-24" @default.
• W3161760495 creator A5030551304 @default.
• W3161760495 date "2021-09-01" @default.
• W3161760495 modified "2023-10-14" @default.
• W3161760495 title "Large deviations in discrete-time renewal theory" @default.
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• W3161760495 doi "https://doi.org/10.1016/j.spa.2021.04.014" @default.
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