PIMS Distinguished Chair Lectures

PIMS Distinguished Chair Lectures

In these notes we first offer an overview of two core areas in the dynamics of probability measure preserving systems, the Kolmogorov-Sinai theory of entropy and the theory of orbit equivalence. Entropy is a nontrivial invariant that, said simply, measures the exponential growth rate of the number of orbits in a dynamical system, a very rough measure of the complexity of the orbit structure. On...

Asaf Nachmias ’ Lectures in PIMS Probability Summer School 2014 Random Walks on Random Fractals

Portfolio management under risk contraints Lectures given at MITACS-PIMS-UBC Summer School in Risk Management and Risk Sharing

Mixing for Markov Chains and Spin Systems

Lectures given at the 2005 PIMS Summer School in Probability held at the University of British Columbia from June 6 through June 30. Special thanks is due to Jesse Goodman, Jeffrey Hood, Ben Hough, Sandra Kliem, Lionel Levine, Yun Long, Asaf Nachmias, Alex Skorokhod and Terry Soo for help preparing these notes. These notes have not been subjected to the usual scrutiny reserved for formal public...

Modeling the Dynamics of Infectious Diseases

Infectious diseases continue to have a major impact on individuals, populations, and the economy, even though some of them have been eradicated (e.g. small pox). Unlike many other ecological systems, many infectious diseases are well documented by spatio-temporal data sets of occurrence and impact. In addition, in particular for childhood diseases, the dynamics of the disease in a single indivi...