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