Jonathon Peterson

Jonathon Peterson is a Professor of Mathematics at Purdue University's Department of Mathematics within the College of Science. His research focuses on Probability and Harmonic Analysis, with a strong emphasis on stochastic processes, random walks, and their applications in complex systems. He has contributed to understanding limit theorems for random walks in random environments, self-interacting processes, and exclusion processes.

His work bridges Probability Theory with Statistical Mechanics and Applied Mathematics, addressing topics like convergence rates of stochastic systems, perturbed Brownian motions, and quantitative homogenization in balanced environments. Notable recent studies include analyzing cooling random environments and extremal behaviors in self-avoiding walks.

Peterson has published extensively on random walks in random environments, with over 30 peer-reviewed articles since 2009. His research often explores boundary cases (e.g., sub-ballistic regimes) and employs advanced techniques from stochastic analysis. He maintains a personal website and is active in the academic community, contributing to conference proceedings and lecture notes on related topics.

While no specific grants or awards are listed, his prolific publication record indicates sustained academic engagement. Advising information is not provided in the profile, but his research areas often involve graduate student collaboration in stochastic processes and probability theory.