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Explore the rigorous mathematical foundations of wave turbulence theory for two-dimensional gravity water waves in this 57-minute conference talk. Delve into recent advances addressing the classical Mathematical Physics problem that traces back to Hasselmann's pioneering work. Learn about a novel mechanism combining deterministic energy estimates for solutions small in L∞-based norms with probabilistic arguments for understanding randomness propagation over extended time intervals. Examine the collaborative research findings developed with Yu Deng and Fabio Pusateri that advance our understanding of water wave systems through sophisticated mathematical analysis.
