Large Deviation Principle for Terminating Multidimensional Compound Renewal Processes with Application to Polymer Pinning Models

Problems of Information Transmission(2022)

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摘要
We obtain a large deviations principle for terminating multidimensional compound renewal processes. We also obtain the asymptotics of large deviations for the case where a Gibbs change of the original probability measure takes place. The random processes mentioned in the paper are widely used in polymer pinning models.
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关键词
compound renewal process, large deviations principle, rate function, polymer pinning models, Gibbs change of the probability measure
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