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Metastability of the Potts ferromagnet on random regular graphs
We study the performance of Markov chains for the q-state ferromagnetic Potts model on
random regular graphs. While the cases of the grid and the complete graph are by now well …
random regular graphs. While the cases of the grid and the complete graph are by now well …
Mean-field Potts and random-cluster dynamics from high-entropy initializations
A common obstruction to efficient sampling from high-dimensional distributions with Markov
chains is the multimodality of the target distribution because they may get trapped far from …
chains is the multimodality of the target distribution because they may get trapped far from …
Sampling from the Potts model at low temperatures via Swendsen–Wang dynamics
Sampling from the q-state ferromagnetic Potts model is a fundamental question in statistical
physics, probability theory, and theoretical computer science. On general graphs, this …
physics, probability theory, and theoretical computer science. On general graphs, this …
Unbiased time-average estimators for Markov chains
N Kahalé - Mathematics of Operations Research, 2024 - pubsonline.informs.org
We consider a time-average estimator fk of a functional of a Markov chain. Under a coupling
assumption, we show that the expectation of fk has a limit μ as the number of time steps …
assumption, we show that the expectation of fk has a limit μ as the number of time steps …
On the tractability of sampling from the Potts model at low temperatures via Swendsen--Wang dynamics
Sampling from the $ q $-state ferromagnetic Potts model is a fundamental question in
statistical physics, probability theory, and theoretical computer science. On general graphs …
statistical physics, probability theory, and theoretical computer science. On general graphs …
On the tractability of sampling from the Potts model at low temperatures via random-cluster dynamics
Sampling from the q-state ferromagnetic Potts model is a fundamental question in statistical
physics, probability theory, and theoretical computer science. On general graphs, this …
physics, probability theory, and theoretical computer science. On general graphs, this …
Sampling from Potts on random graphs of unbounded degree via random-cluster dynamics
We consider the problem of sampling from the ferromagnetic Potts and random-cluster
models on a general family of random graphs via the Glauber dynamics for the random …
models on a general family of random graphs via the Glauber dynamics for the random …
Sampling from Potts on random graphs of unbounded degree via random-cluster dynamics
We consider the problem of sampling from the ferromagnetic Potts and random-cluster
models on a general family of random graphs via the Glauber dynamics for the random …
models on a general family of random graphs via the Glauber dynamics for the random …
From replica symmetry to metastability in random constraint satisfaction problems language
JB Ravelomanana - 2021 - publikationen.ub.uni-frankfurt.de
This thesis concerns three specific constraint satisfaction problems: the k-SAT problem,
random linear equations and the Potts model. We investigated a phenomenon called replica …
random linear equations and the Potts model. We investigated a phenomenon called replica …