Event Type:

Mathematical Biology Seminar

Date/Time:

Tuesday, November 20, 2012 - 05:00

Location:

COVL 216

Guest Speaker:

Institution:

Pennsylvania State University

Abstract:

The talk is concerned with a discrete version of the Integrate and Fire Model which goes back to Eurich, Hermann and Ernst. I will show how the power law with exponent $-3/2$ of the avalanche size distribution can be derived using an approximation by a branching processes. This result is due to Levina in 2008. The model itself leads to new types of basic mathematical/biological dynamical systems for which ergodicity will be shown.

Host: