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math.PR2022
The Entropy Method in Large Deviation Theory
Lei Yu
This paper illustrates the power of the entropy method in addressing problems from large deviation theory. We provide and review entropy proofs for most fundamental results in larg…
math.PR2022
Exact Exponents for Concentration and Isoperimetry in Product Polish Spaces
Lei Yu
In this paper, we derive variational formulas for the asymptotic exponents (i.e., convergence rates) of the concentration and isoperimetric functions in the product Polish probabil…