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Explore the concept of spontaneous stochasticity and its current understanding in this 46-minute lecture by Gregory Eyink, a professor in the Physics and Astronomy and Applied Math Departments at Johns Hopkins University. Delve into the intricacies of this phenomenon as Eyink discusses its implications in both classical and quantum contexts. Gain insights from his research, which is further elaborated in his paper "Classical and quantum spontaneous stochasticity." This NCCR SwissMAP presentation offers a deep dive into a complex topic at the intersection of physics and mathematics, providing valuable knowledge for those interested in advanced concepts in these fields.