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Probability Theory

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Probability Theory

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Research Frontiers in Large Deviations Theory and Asymptotic Analysis

Analysis of exponential decay rates of probabilities of rare events and applications to queueing and statistical mechanics.

Contraction Principles Beyond Classical Rate Functions
Large Deviations in Infinite-Dimensional Dynamical Systems
Moderate Deviations and the Mesoscopic Scaling Regime
Rare Events in Interacting Particle Systems
Sample Path Large Deviations for Complex Networks
Exponential Asymptotics in Non-Markovian Processes
Large Deviations at Phase Transitions and Critical Phenomena
Empirical Measures and the Sanov Regime
Quasipotential Landscapes in Stochastic Differential Equations
Large Deviations for Weakly Dependent Random Fields

All Probability Theory PhD categories