Amie Wilkinson: THE ERGODIC HYPOTHESIS AND BEYOND
Tid: Fr 2015-05-22 kl 13.15 - 14.15
Plats: Lecture hall D2, Lindstedtsvägen 5
Medverkande: Amie Wilkinson, University of Chicago
Lecture 1: "The general case"
Abstract: The celebrated Ergodic Theorems of George Birkhoff and von Neumann in the 1930's gave rise to a mathematical formulation of Boltzmann's Ergodic Hypothesis in thermodynamics. This reformulated hypothesis has been described by a variety of authors as the conjecture that ergodicity — a form of randomness of orbit distributions — should be "the general case" in conservative dynamics. I will discuss remarkable discoveries in the intervening century that show why such a hypothesis must be false in its most restrictive formulation but still survives in some contexts. In the end, I will begin to tackle the question, "When is ergodicity and other chaotic behavior the general case?"
Coffee will be served between 12.45 and 1.15 outside the lecture hall.