Spatial mixing and the random‐cluster dynamics on lattices
R Gheissari, A Sinclair - Random Structures & Algorithms, 2024 - Wiley Online Library
An important paradigm in the understanding of mixing times of Glauber dynamics for spin
systems is the correspondence between spatial mixing properties of the models and bounds …
systems is the correspondence between spatial mixing properties of the models and bounds …
[HTML][HTML] Tunneling behavior of Ising and Potts models in the low-temperature regime
FR Nardi, A Zocca - Stochastic Processes and their Applications, 2019 - Elsevier
We consider the ferromagnetic q-state Potts model with zero external field in a finite volume
and assume that its stochastic evolution is described by a Glauber-type dynamics …
and assume that its stochastic evolution is described by a Glauber-type dynamics …
Random-cluster dynamics on random regular graphs in tree uniqueness
A Blanca, R Gheissari - Communications in Mathematical Physics, 2021 - Springer
We establish rapid mixing of the random-cluster Glauber dynamics on random\varDelta Δ-
regular graphs for all q ≥ 1 q≥ 1 and p< p_u (q,\varDelta) p< pu (q, Δ), where the threshold …
regular graphs for all q ≥ 1 q≥ 1 and p< p_u (q,\varDelta) p< pu (q, Δ), where the threshold …
Local and global geometry of the 2D Ising interface in critical prewetting
S Ganguly, R Gheissari - 2021 - projecteuclid.org
Consider the Ising model at low temperatures and positive external field λ on an N× N box
with Dobrushin boundary conditions that are plus on the north, east and west boundaries …
with Dobrushin boundary conditions that are plus on the north, east and west boundaries …
Multimodal Sampling via Approximate Symmetries
L Ying - arXiv preprint arXiv:2310.07244, 2023 - arxiv.org
Sampling from multimodal distributions is a challenging task in scientific computing. When a
distribution has an exact symmetry between the modes, direct jumps among them can …
distribution has an exact symmetry between the modes, direct jumps among them can …
Information percolation and cutoff for the random‐cluster model
We consider the random‐cluster model (RCM) on with parameters p∈(0, 1) and q≥ 1. This
is a generalization of the standard bond percolation (with edges open independently with …
is a generalization of the standard bond percolation (with edges open independently with …
Spatial mixing and nonlocal Markov chains
We consider spin systems with nearest‐neighbor interactions on an n‐vertex d‐dimensional
cube of the integer lattice graph. We study the effects that the strong spatial mixing condition …
cube of the integer lattice graph. We study the effects that the strong spatial mixing condition …
Random-cluster dynamics in : Rapid mixing with general boundary conditions
The random-cluster model with parameters (p,q) is a random graph model that generalizes
bond percolation (q=1) and the Ising and Potts models (q≧2). We study its Glauber …
bond percolation (q=1) and the Ising and Potts models (q≧2). We study its Glauber …
Fast relaxation of the random field Ising dynamics
We study the convergence properties of Glauber dynamics for the random field Ising model
(RFIM) with ferromagnetic interactions on finite domains of $\mathbb {Z}^ d $, $ d\ge 2$. Of …
(RFIM) with ferromagnetic interactions on finite domains of $\mathbb {Z}^ d $, $ d\ge 2$. Of …
Annealed importance sampling for Ising models with mixed boundary conditions
L Ying - arXiv preprint arXiv:2205.08665, 2022 - arxiv.org
This note introduces a method for sampling Ising models with mixed boundary conditions.
As an application of annealed importance sampling and the Swendsen-Wang algorithm, the …
As an application of annealed importance sampling and the Swendsen-Wang algorithm, the …