Jonathon Peterson
Mathematics · Purdue University West Lafayette
Publications
68
Citations
274
Est. group size
—
Recurring co-author estimate
Active years
41
Publishing since 1986
Jonathon Peterson works in probability theory, focusing on random walks that move through random or changing environments, and walks that interact with their own past path (such as self-repelling or 'cookie' random walks). A central theme in his work is figuring out what kind of large-scale, smoothed-out behavior these random processes converge to, such as Brownian motion or related limiting processes, after many steps. This research is mathematical and theoretical, aiming to prove precise statements about long-term statistical behavior rather than to build applied models.
Publication output has been fairly steady at roughly 2-4 papers per year over the last decade, with a slight uptick in the most recent year shown.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Convergence of rescaled “true” self-avoiding walks to the Tóth-Werner “true” self-repelling motion
Electronic Journal of Probability · 2026
- Extension of results on generalized Pólya's urns for polynomially self-repelling walks
Open MIND · 2026
- Extension of results on generalized Pólya's urns for polynomially self-repelling walks
arXiv (Cornell University) · 2026
- An Introduction to Stochastic Processes
WORLD SCIENTIFIC eBooks · 2026
- Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments
Annales de l Institut Henri Poincaré Probabilités et Statistiques · 2025
- Convergence of rescaled "true" self-avoiding walks to the Tóth-Werner "true" self-repelling motion
arXiv (Cornell University) · 2025
- Analytic solution for the linear rheology of living polymers
Journal of Non-Newtonian Fluid Mechanics · 2024
- Limiting distributions for RWCRE in the sub-ballistic regime and in the critical Gaussian regime
Electronic Journal of Probability · 2024
- Convergence and nonconvergence of scaled self-interacting random walks to Brownian motion perturbed at extrema
The Annals of Probability · 2023
- Limiting distributions for RWCRE in the sub-ballistic regime and in the critical Gaussian regime
arXiv (Cornell University) · 2023
- Quantitative homogenization in a balanced random environment
Electronic Journal of Probability · 2022
- Variable speed symmetric random walk driven by the simple symmetric exclusion process
Electronic Journal of Probability · 2022
- Convergence and non-convergence of scaled self-interacting random walks to Brownian motion perturbed at extrema
arXiv (Cornell University) · 2022
- Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema
Probability Theory and Related Fields · 2021
- Variable speed symmetric random walk driven by symmetric exclusion
arXiv (Cornell University) · 2021
- arXiv (Cornell University)×14
- Electronic Journal of Probability×6
- Annales de l Institut Henri Poincaré Probabilités et Statistiques×3
- Journal of Community Health×1
- The Annals of Probability×1
- Russell Lyons
Mathematics · Indiana University
- Otávio Menezes
Mathematics · Purdue University West Lafayette
- David Sivakoff
Mathematics · The Ohio State University
- Christopher Janjigian
Mathematics · Purdue University West Lafayette
- Yongjia Xie
Mathematics · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 20, 2026.
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