Peter T. Otto
Professor of Mathematics
Willamette University
Salem, Oregon 97301
Office: Ford 219
Phone: (503) 370-6487
Email: potto@willamette.edu
Path Coupling and Aggregate Path Coupling (with Y. Kovchegov) SpringerBriefs in Probability and Mathematical Statistics. ISBN 978-3-319-77018-5 (2018)
Journal Publications
Extension to the Beraha-Kahane-Weiss Theorem with Applications (with J. Brown), submitted.
Multidimensional Lambert-Euler Inversion and Vector-Multiplicative Coalescent Processes (with Y. Kovchegov), Journal of Statistical Physics, Volume 190, Number 188 (2023).
Cross-Multiplicative Coalescent Processes and Applications (with Y. Kovchegov and A. Yambartsev), ALEA, Latin American Journal of Probability and Mathematical Statistics, Volume 18, pages 81-106 (2021).
Justice as Fair Division (with I. Bartrum and K. Nyman), Pepperdine Law Review, Volume 45: 531 (2018).
The Aggregate Path Coupling Method for the Potts Model on Bipartite Graph (with J. Hernandez and Y. Kovchegov), Journal of Mathematical Physics, Volume 58, Number 2, 023303 (2017).
Mixing Times for the Rook's Walk via Path Coupling (with C. McLeman, J. Rahmani*, and M. Sutter*), Involve , Volume 10, Number 1, pages 51-64 (2017).
Rapid Mixing of Glauber Dynamics of Gibbs Ensembles via Aggregate Path Coupling and Large Deviations Methods (with Y. Kovchegov), Journal of Statistical Physics, Volume 161, Number 3, pages 553-576 (2015).
Polynomial Representation for the Expected Length of Minimal Spanning Trees (with J. Nishikawa* WU '10 and C. Starr), Pi Mu Epsilon Journal, Volume 13, Number 6, pages 357–365 (2012).
Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling (with Y. Kovchegov and M. Titus), Journal of Statistical Physics, Volume 144, Number 5, pages 1009-1027 (2011).
Asymptotic Behavior of the Finite-Size Magnetization as a Function of the Speed of Approach to Criticality (with R. S. Ellis and J. Machta), Annals of Applied Probability, Volume 20, Number 6, pages 2118–2161 (2010).
Asymptotic Behavior of the Magnetization near Critical and Tricritical Points via Ginzburg-Landau Polynomials (with R. S. Ellis and J. Machta), Journal of Statistical Physics, Volume 133, Number 1, pages 101-129 (2008).
Ginzburg-Landau Polynomials and the Asymptotic Behavior of the Magnetization Near Critical and Tricritical Points (with R. S. Ellis and J. Machta) 75-page Latex manuscript. This unpublished paper contains details of proofs and calculations omitted from the paper listed in the preceding bullet. It is posted at http://arxiv.org/abs/0803.0178.
Multiple Critical Behavior of Probabilistic Limit Theorems in the Neighborhood of a Tricritical Point (with M. Costeniuc and R. S. Ellis), Journal of Statistical Physics, Volume 127, Number 3, 495–552 (2007).
Analysis of Phase Transitions in the Mean-Field Blume-Emery-Griffiths Model (with R. S. Ellis and H. Touchette), Annals of Applied Probability, Volume 15, Number 3, pages 2203–2254 (2005).
A Statistical Approach to the Asymptotic Behavior of a Class of Generalized Nonlinear Schrödinger Equations (with R. S. Ellis, R. Jordan, and B. Turkington), Communications in Mathematical Physics, Volume 244, Number 1, pages 187–208 (2004).
* indicates student co-author