John Mayberry

Visiting Assistant Professor of Mathematics

Web Site Contact Information Office:  440 Malott Hall Phone:  (607) 255-8262 Fax:  (607) 255-7149 Email:  jmayberry@math.cornell.edu Courses & Office Hours

Education

Ph.D. (2008) University of Southern California

Research Area: probability

My interests lie in applying concepts from probability theory, stochastic processes, and dynamical systems to the analysis of biological models. In particular, I am interested in studying the effects of noise on deterministic dynamical systems, incorporating ideas from Markov Processes, stochastic differential equations, perturbation theory, large deviations, regression analysis, and bifurcation theory. Recent work has centered around the study of stochastic integrate-and-fire models and the effects of noise on period doubling bifurcations in circle maps.

Selected Publications

Gaussian perturbations of circle maps: a spectral approach, Ann. App. Prob. (submitted).

A spectral analysis of the sequence of firing phases in stochastic integrate-and-fire oscillators (with P. Baxendale), in progress.

Last modified: June 3, 2009