Several quantum hardware platforms, while being unable to perform fully fault-tolerant
quantum computation, can still be operated as analogue quantum simulators for addressing …

This article studies the planar Potts model and its random-cluster representation. We show
that the phase transition of the nearest-neighbor ferromagnetic q-state Potts model on Z^ 2 Z …

We show for the first time that the mixing time of Glauber (single edge update) dynamics for
the random cluster model at q= 2 is bounded by a polynomial in the size of the underlying …

Abstract We prove Russo‐Seymour‐Welsh‐type uniform bounds on crossing probabilities
for the FK Ising (FK percolation with cluster weight q= 2) model at criticality, independent of …

These lecture notes provide an (almost) self-contained account on conformal invariance of
the planar critical Ising and FK-Ising models. They present the theory of discrete …

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 …

We study the problem of approximating the partition function of the ferromagnetic Ising
model with both pairwise as well as higher order interactions (equivalently, in graphs as well …

We study Glauber dynamics for the mean-field (Curie-Weiss) Potts model with q≥ 3 states
and show that it undergoes a critical slowdown at an inverse-temperature β s (q) strictly …

We consider the problem of sampling from the Ising model when the underlying interaction
matrix has eigenvalues lying within an interval of length $\gamma $. Recent work in this …

Drawing independent samples from a probability distribution is an important computational
problem with applications in Monte Carlo algorithms, machine learning, and statistical …