Broken Cities is an ambitious and devastating book. Deborah Potts weaves together contextualized histories, policies statistical trends evidencing a significant global housing crisis in cities ...

In this paper, I present additional information for policy-makers and researchers to consider in response to the view proposed by Potts et al that “the pill is mightier than the sword.” I identify states with both high rates of terrorism and a youth bulge and discuss correlates of both these societal characteristics. The research examined supports the view that factors other than access to fami...

We study the universality class of the fixed points of the 2D random bond q-state Potts model by means of numerical transfer matrix methods. In particular, we determine the critical exponents associated with the fixed point on the Nishimori line. Precise measurements show that the universality class of this fixed point is inconsistent with percolation on Potts clusters for q = 2, corresponding ...

In this talk, we briefly comment on Sweeny and Gliozzi methods, cluster Monte Carlo method, and recent transition matrix Monte Carlo for Potts models. We mostly concentrate on a new algorithm known as ‘binary tree summation’. Some of the most interesting features of this method will be highlighted – such as simulating fractional number of Potts states, as well as offering the partition function...

We summarize results of [1]. Among other things, they compute the first order expansion to the surface tension for all q−state Potts models at very low temperatures. Using this expansion, they determine the asymptotic shape of the Wulff crystal defined by the surface tension functional determined by an infinite volume Gibbs State at very low temperature. Their results are formulated in terms of...

Functional relations and nested Bethe ansatz for sl(3) chiral Potts model at q 2 = −1. Abstract We obtain the functional relations for the eigenvalues of the transfer matrix of the sl(3) chiral Potts model for q 2 = −1. For the homogeneous model in both directions a solution of these functional relations can be written in terms of roots of Bethe ansatz-like equations. In addition , a direct nes...

Abstract. In statistical mechanics, the Potts model is a model for interacting spins with more than two discrete states. Neural networks which exhibit features of learning and associative memory can also be modeled by a system of Potts spins. A spontaneous behavior of hopping from one discrete attractor state to another (referred to as latching) has been proposed to be associated with higher co...

Transfer matrix functional relations for the generalized τ 2 (t q) model Abstract The N-state chiral Potts model in lattice statistical mechanics can be obtained as a " descendant " of the six-vertex model, via an intermediate " Q " or " τ 2 (t q) " model. Here we generalize this to obtain a column-inhomogeneous τ 2 (t q) model, and derive the functional relations satisfied by its row-to-row tr...