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Probability Theory

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Probability Theory

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Research Frontiers in Extreme Value Theory and Rare Events

Study of tail behavior of random variables and asymptotic distributions of extreme order statistics with applications to risk management.

Tail Dependence in High-Dimensional Non-Stationary Systems
Rare Event Cascades in Complex Interdependent Networks
Heavy-Tailed Distributions Beyond Classical Extremal Limits
Threshold-Exceedance Dynamics in Coupled Stochastic Processes
Extremal Index and Long-Range Dependence in Climate Data
Multivariate Rare Events in Non-Euclidean Spaces
Catastrophic Failure Prediction Through Extreme Value Signatures
Tail Risk Amplification in Feedback-Driven Systems
Rare Event Sampling in Intractable High-Dimensional Landscapes
Extremal Clustering and Contagion in Temporal Point Processes

All Probability Theory PhD categories