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» Mixing of the Glauber dynamics for the ferromagnetic Potts m...
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FOCS
2006
IEEE
13 years 11 months ago
A simple condition implying rapid mixing of single-site dynamics on spin systems
Spin systems are a general way to describe local interactions between nodes in a graph. In statistical mechanics, spin systems are often used as a model for physical systems. In c...
Thomas P. Hayes
STOC
2009
ACM
137views Algorithms» more  STOC 2009»
14 years 6 months ago
Mixing time for the solid-on-solid model
We analyze the mixing time of a natural local Markov chain (the Glauber dynamics) on configurations of the solid-onsolid model of statistical physics. This model has been proposed...
Fabio Martinelli, Alistair Sinclair
STOC
1997
ACM
111views Algorithms» more  STOC 1997»
13 years 9 months ago
The Swendsen-Wang Process Does Not Always Mix Rapidly
The Swendsen-Wang process provides one possible dynamics for the Qstate Potts model in statistical physics. Computer simulations of this process are widely used to estimate the ex...
Vivek Gore, Mark Jerrum
FOCS
2008
IEEE
13 years 12 months ago
Mixing Time of Exponential Random Graphs
A plethora of random graph models have been developed in recent years to study a range of problems on networks, driven by the wide availability of data from many social, telecommu...
Shankar Bhamidi, Guy Bresler, Allan Sly
CORR
2011
Springer
189views Education» more  CORR 2011»
12 years 9 months ago
Metastability of Logit Dynamics for Coordination Games
Logit Dynamics [Blume, Games and Economic Behavior, 1993] is a randomized best response dynamics for strategic games: at every time step a player is selected uniformly at random a...
Vincenzo Auletta, Diodato Ferraioli, Francesco Pas...