We consider Ising spin glasses on Z d with couplings J xy= cy− x Z xy, where the cy's are
nonrandom real coefficients and the Z xy's are independent, identically distributed random …

We study the Ising and N-vector spin glasses with exchange couplings J=(J ij; i, jε Z d),
which are independent random variables with EJ ij= 0 and EJ n ij⩽ γ nn!¦ i− j¦− nαd, for nεℕ …

We consider the energy difference restricted to a finite volume for certain pairs of
incongruent ground states (if they exist) in the d-dimensional Edwards–Anderson Ising spin …

We study zero-temperature, stochastic Ising models σ t on Z d with (disordered) nearest-
neighbor couplings independently chosen from a distribution μ on R and an initial spin …

We consider the free energy difference restricted to a finite volume for certain pairs of
incongruent thermodynamic states (if they exist) in the Edwards–Anderson Ising spin glass …

This paper is divided into two parts. The first part concerns several standard scenarios for
how short-range spin glasses might behave at low temperature. Earlier theorems of the …

Abstract We consider the Edwards-Anderson Ising spin glass model on the half-plane Z *
Z^+ with zero external field and a wide range of choices, including mean zero Gaussian for …

Random Spin Systems with Long-Range Interactions Page 1 Random Spin Systems with
Long-Range Interactions Boguslaw Zegarlinski Abstract We present the state of the matter for …

This paper is divided into two parts. The first part concerns several standard scenarios for
how short-range spin glasses might behave at low temperature. Earlier theorems of the …

Following an approach of Toulouse, ground states in random 2D Ising±J spin glasses
(without external magnetic field), on square lattices, and with concentrations 0⩽ p⩽ 0.5 of …