[iasmath-seminars] Reminder for today's Members' Seminar

Anthony Pulido apulido at ias.edu
Mon Mar 25 10:25:56 EDT 2019


INSTITUTE FOR ADVANCED STUDY
School of Mathematics
Princeton, NJ 08540

Members' Seminar
Monday, March 25

To view mathematics in titles and abstracts, please click on the talk's link.


Topic: 		The general case?
Speaker: 	Amie Wilkinson, University of Chicago
Time/Room: 	2:00pm - 3:00pm/Simonyi Hall 101
Abstract Link:	http://www.math.ias.edu/seminars/abstract?event=129434

In the early 1930's, the Ergodic theorems of von Neumann and Birkhoff 
put Boltzmann's Ergodic Hypothesis in mathematical terms, and the 
natural question was born: is ergodicity the "general case" among 
conservative dynamical systems? Oxtoby and Ulam tackled this question 
early on and showed that the answer to this question is "yes" for 
continuous dynamical systems. The work of Kolmogorov Arnol'd and Moser 
beginning in the 1950's showed that the answer to this question is "no" 
for $C^\infty$ dynamical systems. I will discuss recent work with Artur 
Avila and Sylvain Crovisier that addresses what happens for $C^1$ 
dynamical systems.

http://www.math.ias.edu/seminars
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