Algebraic Topology as Applied to a Problem in Statistical Mechanics

Thursday, October 31, 2013 - 9:00am - 9:50am
Keller 3-180
John Klein (Wayne State University)
Abstract: An area of interest in statistical mechanics is the study of
statistical distributions of stochastic currents generated in graphs.
It turns out that this problem amounts to the study of periodic families
of Markov processes that evolve according to the master equation.
Physicists have observed that, for almost every generated current,
quantization occurs in the adiabatic and low temperature limits.

My main goal in this talk will be to explain how this story can be understood using
the standard tools of algebraic topology.
MSC Code: