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Probability Theory

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Probability Theory

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Research Frontiers in Interacting Particle Systems and Mean Field Limits

Analysis of large systems of interacting particles and convergence to deterministic or stochastic mean field equations.

Propagation of Chaos Beyond Classical Mean Field
Singularities in Empirical Measure Convergence Rates
Non-exchangeable Particle Systems and Symmetry Breaking
Mean Field Games with Memory and Path Dependence
Critical Scaling Limits in Particle Interactions
Fluctuations and Large Deviations in Dense Systems
Emergence of Collective Behavior from Microscopic Rules
Mean Field Approximations Under Sparse Connectivity
Phase Transitions in Weakly Interacting Particle Ensembles
Universality Classes in Mean Field Convergence

All Probability Theory PhD categories