We introduce a two-temperature Ising model as prototype of superstatistic critical phenomena. The is described by two temperatures ($T_1,T_2$) in zero magnetic field. To predict the phase diagram and numerically estimate exponents, we develop Metropolis Swendsen-Wang Monte Carlo method. observe that there non-trivial line, separating ordered disordered phases. propose an analytic equation for l...

The XOR-Ising model on a graph consists of random spin configurations on vertices of the graph obtained by taking the product at each vertex of the spins of two independent Ising models. In this paper, we explicitly relate loop configurations of the XOR-Ising model and those of a dimer model living on a decorated, bipartite version of the Ising graph. This result is proved for graphs embedded i...

Recent progress on the physical states and scattering amplitudes of the W 3 string is reviewed with particular emphasis on the relation between this string theory and the Ising model.

The short-distance assymptotics of the τ-function associated to the 2-point function of the two-dimensional Ising model is computed as a function of the integration constant defined from the long-distance behavior of the τ-function. The result is expressible in terms of the Barnes double gamma function (equivalently, the Barnes G-function).

I use recent advances in the study of the susceptibility of the Ising model to propose a new mechanism for the freezing transition which is observed in three dimensional hard spheres.