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- University of KansasUS20 papers
- Centre National de la Recherche ScientifiqueFR8 papers
- Kavli Institute for Particle Astrophysics and CosmologyUS7 papers
- Goddard Space Flight CenterUS6 papers
- SLAC National Accelerator LaboratoryUS6 papers
- Stanford UniversityUS6 papers
- University of California, Santa CruzUS6 papers
- Columbia UniversityUS5 papers
- Institut de Recherche en Astrophysique et PlanétologieFR5 papers
- Institut National de Physique Nucléaire et de Physique des ParticulesFR5 papers
- Laboratoire de Physique des deux infinis BordeauxFR5 papers
- National Academies of Sciences, Engineering, and MedicineUS5 papers
4 papers · 1 filter
The aggregate path coupling method for the Potts model on bipartite graph
Jose C. Hernandez, Yevgeniy Kovchegov, Peter T. Otto
In this paper, we derive the large deviations principle for the Potts model on the complete bipartite graph as increases to infinity. Next, for the Potts model on $K_…
Rapid Mixing of Glauber Dynamics of Gibbs Ensembles via Aggregate Path Coupling and Large Deviations Methods
Yevgeniy Kovchegov, Peter T. Otto
In this paper, we present a novel extension to the classical path coupling method to statistical mechanical models which we refer to as aggregate path coupling. In conjunction with…
Mixing Times for the Mean-Field Blume-Capel Model via Aggregate Path Coupling
Yevgeniy Kovchegov, Peter T. Otto, Mathew Titus
In this paper we investigate the relationship between the mixing times of the Glauber dynamics of a statistical mechanical system with its thermodynamic equilibrium structure. For…
Asymptotic behavior of the finite-size magnetization as a function of the speed of approach to criticality
Richard S. Ellis, Jonathan Machta, Peter Tak-Hun Otto
The main focus of this paper is to determine whether the thermodynamic magnetization is a physically relevant estimator of the finite-size magnetization. This is done by comparing…