Peter T. Otto
Associate Professor
Department of Mathematics
Willamette University
Publications

(with Y. Kovchegov) Path Coupling and Aggregate Path Coupling, Submitted.

(with J. Hernandez and Y. Kovchegov) The Aggregate Path Coupling Method for the Potts Model on Bipartite Graph, Submitted.

(with C. McLeman, J. Rahmani*, and M. Sutter*) Mixing Times for the Rook's Walk via Path Coupling, Involve , to appear.

(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 553576 (2015).

(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).

(with Y. Kovchegov and M. Titus) Mixing Times for the MeanField BlumeCapel Model via Aggregate Path Coupling, Journal of Statistical Physics, Volume 144, Number 5, pages 10091027 (2011).

(with R. S. Ellis and J. Machta) Asymptotic Behavior of the
FiniteSize Magnetization as a Function of the Speed of Approach to Criticality,
Annals of Applied
Probability, Volume 20, Number 6, pages 2118–2161 (2010).

(with R. S. Ellis and J. Machta) Asymptotic Behavior
of the Magnetization near Critical and
Tricritical Points via GinzburgLandau Polynomials,
Journal of Statistical Physics, Volume 133, Number 1, pages 101129 (2008).

(with R. S. Ellis and J. Machta) GinzburgLandau
Polynomials and the Asymptotic Behavior of the Magnetization Near
Critical and Tricritical Points. 75page 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 This unpublished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.

(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).

(with R. S. Ellis and H. Touchette) Analysis of Phase
Transitions in the MeanField BlumeEmeryGriffiths Model,
Annals of Applied
Probability, Volume 15, Number 3, pages 2203–2254 (2005).

(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 coauthor
