The goal of this article is to review the role of fractal geometry in quantum physics. There are
two aspects:(a) The geometry of underlying space (space–time in relativistic systems) is …

Projective measurements in random quantum circuits lead to a rich breadth of entanglement
phases and extend the realm of nonunitary quantum dynamics. Here, we explore the …

We give a simple explanation of the Swendsen-Wang algorithm for Potts models in terms of
a joint model of Potts spin variables interacting with bond occupation variables. We then …

Irreversible fractal-growth models like diffusion-limited aggregation (DLA) and the dielectric
breakdown model (DBM) have confronted us with theoretical problems of a new type for …

This paper is a study of the percolation problem with long-range correlations in the site or
bond occupations. An extension of the Harris criterion for the relevance of the correlations is …

The entanglement entropy of a subsystem A of a quantum system is expressed, in the
replica approach, through analytic continuation with respect to n of the trace of the n-th …

It is shown that previously defined clusters, which give a geometrical description of the
fluctuations in the q-state Potts model, at criticality have a fractal structure made of links and …

The phase transition in the Ising model and the percolation transition in the lattice
percolation model have many common characteristics which have motivated researchers to …

Fast Track Communication Page 1 Journal of Physics A: Mathematical and Theoretical
FAST TRACK COMMUNICATION On three-point connectivity in two-dimensional …

Conformation of branched random fractals formed in equilibrium processes is discussed
using a Flory-type theory. Within this approach we find only three distinct types or classes of …