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Large Deviation Principle for Terminating Multidimensional Compound Renewal Processes with Application to Polymer Pinning Models
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This article is published in Problems of Information Transmission.The article was published on 2022-04-01. It has received 0 citations till now. The article focuses on the topics: Large deviations theory & Normalization property.read more
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Convex analysis in general vector spaces
TL;DR: In this article, the authors present preliminary results on functional analysis and convex analysis in Locally Convex Spaces (LCS) and describe some applications of convex analyses in Normed Spaces.
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From uniform renewal theorem to uniform large and moderate deviations for renewal-reward processes
TL;DR: In this paper, a uniform key renewal theorem is deduced from the uniform Blackwell's renewal theorem, and a uniform LDP (large deviation principle) for renewal-reward processes is obtained.
Journal ArticleDOI
Large deviations in discrete-time renewal theory
TL;DR: In this article, large deviation principles for cumulative rewards associated with a discrete-time renewal model were established for polymers, where each renewal involves a broad-sense reward taking values in a real separable Banach space.
Journal ArticleDOI
Large deviations in renewal models of statistical mechanics
TL;DR: In this article, the authors show that the constrained pinning model is the common mathematical structure to the Poland-Scheraga model of DNA denaturation and to some relevant one-dimensional lattice models of Statistical Mechanics, such as the Fisher-Felderhof model of fluids, the Wako-Saito-Munoz-Eaton model of protein folding, and the Tokar-Dreysse model of strained epitaxy.
Journal ArticleDOI
Anscombe-type theorem and moderate deviations for trajectories of a compound renewal process
TL;DR: In this article, an Anscombe-type theorem for the large deviations principle for trajectories of a random process is proved, and the moderate deviations principle is obtained for the compound renewal processes.