This paper is dedicated to the memory of Dietrich Stauffer, who was a pioneer in percolation
theory and applications of it to problems of society, such as epidemiology. An epidemic is a …

We determine the spaces of states of the two-dimensional $ O (n) $ and $ Q $-state Potts
models with generic parameters $ n, Q\in\mathbb {C} $ as representations of their known …

A bstract In a recent paper, Gorbenko and Zan [1] observed that O (n) symmetry alone does
not protect the well-known renormalization group flow from the dilute to the dense phase of …

We determine the site and bond percolation thresholds for a system of disordered jammed
sphere packings in the maximally random jammed state, generated by the Torquato–Jiao …

A bstract We revisit in this paper the problem of connectivity correlations in the Fortuin-
Kasteleyn cluster representation of the two-dimensional Q-state Potts model conformal field …

Multiphase electric charge conductors composed of materials with various properties are
widely utilized in both research and industrial applications. The composite materials include …

We propose a method of studying the continuous percolation of aligned objects as a limit of
a corresponding discrete model. We show that the convergence of a discrete model to its …

By means of extensive Monte Carlo simulation, we study extended-range site percolation on
square and simple cubic lattices with various combinations of nearest neighbors up to the …

We present percolation thresholds calculated numerically with the eigenvalue formulation of
the method of critical polynomials; developed in the last few years, it has already proven to …

Machine learning for phase transition has received intensive research interest in recent
years. However, its application in percolation still remains challenging. We propose an …