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Explore a rigorous mathematical lecture on the topic of unique equilibrium states for geodesic flows in nonpositive curvature. Delve into the intricate world of dynamical systems as presented by Keith Burns, examining the behavior of geodesic flows on manifolds with nonpositive curvature. Gain insights into the conditions under which these flows exhibit unique equilibrium states, and understand the implications for the study of geometric and ergodic properties of such systems. Engage with advanced concepts in differential geometry, dynamical systems theory, and ergodic theory throughout this 49-minute presentation from ICTP Mathematics.
Syllabus
Unique equilibrium states for geodesic flows in nonpositive curvature - Keith Burns
Taught by
ICTP Mathematics