Research

My main area of research is processes in random environments. Most of my research has been in random walks in random environments, but recently I have become interested in other processes (such as interacting particle systems) in random environments. I'm also interested in other non-classical random walks - especially the multi-excited random walk (also called the cookie random walk).

For a more complete description of my interests see my research statement .

Publications

A complete list of my preprints and publications
   (created by Bibserver with information from MathSciNet and the arXiv. Visit Jim Pitman's BibServer to learn more.)

My Google Scholar Citation Profile.

Selected Recent Preprints and Publications

• Jon Peterson. Large deviations for random walks in a random environment on a strip. Submitted for publication.
• Jon Peterson & Gennady Samorodnitsky. Weak weak quenched limits for the path-valued processes of hitting times and positions of a transient, one-dimensional random walk in a random environment. Submitted for publication.
• Jon Peterson. A probabilistic proof of a binomial identity. To appear in the American Mathematical Monthly.
• Jon Peterson & Gennady Samorodnitsky. Weak quenched limiting distributions for transient one-dimensional random walk in a random environment. To appear in Annals de l'institut Henri Poincaré (B) Probabilités et Statistiques.
• Jon Peterson. Large Deviations and slowdown asymptotics for one-dimensional excited random walks. Electronic Journal of Probability. 17 no. 48, pp. 1-24.
• Jon Peterson. The contact process on the complete graph with random vertex-dependent infection rates . Stochastic Processes and their Applications. 121(3), pp. 609-629.

Presentations

• Quenched Limit Laws for Transient, One-Dimensional RWRE
• A Random Walk Through Electrical Engineering
• Properties of the Annealed Large Deviation Rate Function for a Random Walk in Random Environment
• Thesis Presentation
• RWRE Current Process
• Non-classical Random Walks
• Bridges of Random Walks in a Random Environment
• Linear Algebra and the Bowl Championship Series
• Weak Quenched Limiting Distributions for One-dimensional RWRE
• The Contact Process on the Complete Graph with Random, Vertex-dependent, Infection Rates
• Large Deviations and Slowdown Asymptotics of Excited Random Walks
• Large Deviations for Random Walks in a Random Environment on a Strip

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