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Explore phase transitions in the frog model through this 45-minute conference talk that examines an interacting particle system modeling infection spread in moving populations and dependent directed percolation. Learn how this mathematical model exhibits phase transitions on various classes of transitive graphs, including polynomial growth and non-amenable graphs, with particular focus on the sharp nature of these transitions. Discover the theoretical foundations and recent research developments in this area of probability theory as presented by Omer Angel from the University of British Columbia at IPAM's New Interactions Between Probability and Geometry Workshop, including collaborative work with Jonathan Hermon, Daniel de la Riva Massaad, and Yuliang Shi on proving the sharpness of phase transitions in this important mathematical framework.
