# Journal of Statistical Physics

Journal of Statistical Physics > 1998 > 92 > 5-6 > 1203-1208

*O*(

*n*) loop model on the honeycomb lattice is mapped to that of the

*O*(

*n*) loop model on the 3–12 lattice. Both models share the same operator content and thus critical exponents. The critical points are related via a simple transformation of variables. When

*n*= 0 this gives the recently found exact value μ = 1.711041... for the connective constant of self-avoiding walks...

Journal of Statistical Physics > 1998 > 93 > 1-2 > 243-291

*N*-dimensional hierarchical lattice (

*N*≥2) and take values in the closure of a compact convex set $$\bar D \subset \mathbb{R}^d (d \geqslant 1)$$ . Each component starts at some θ ∈

*D*and is subject to two motions: (1) an isotropic diffusion according...

Journal of Statistical Physics > 2001 > 102 > 5-6 > 1229-1251

Journal of Statistical Physics > 2001 > 104 > 3-4 > 753-775

*β*=2, by using the Pfaffian method, the system is mapped onto a four-component Fermi field theory with specific boundary conditions. The exact solution is presented for a semi-infinite geometry of the dielectric wall (the density profiles, the correlation...

Journal of Statistical Physics > 2001 > 104 > 5-6 > 945-970

*Γ*=2 the model is exactly solvable. We compute the grand potential, densities and correlations. We show that the grand potential has a universal logarithmic finite-size correction as predicted in previous works...

Journal of Statistical Physics > 2002 > 106 > 1-2 > 97-107

Journal of Statistical Physics > 2002 > 109 > 1-2 > 311-315

*S*, with nearest-neighbor interactions. We have tabulated through order

*β*

^{25}the series for the nearest-neighbor correlation function, the susceptibility and the second correlation moment in two dimensions on the square lattice, and, in three dimensions,...

Journal of Statistical Physics > 2003 > 110 > 1-2 > 1-33

*A*is proportional to

*A*

^{−1}, with a proportionality constant

*C*that is universal. We show theoretically (based upon Coulomb gas methods), and verify numerically to high precision, that $$C = 1/(8\sqrt 3 \pi = 0.022972037 \ldots )$$ . We also derive, and verify to varying precision, the corresponding...

Journal of Statistical Physics > 2004 > 114 > 5-6 > 1199-1210

*σ*

^{⋅}=(

*σ*

^{ n }:

*n*≥0) corresponding to the zero-temperature case of Domany's stochastic Ising ferromagnet on the hexagonal lattice $$\mathbb{N}$$ . The state space $$\mathcal{S}_\mathbb{H} = \left\{ { - 1, + 1} \right\}^\mathbb{H}$$ consists of assignments of −1 or +1 to each site of $$\mathbb{H}$$ and the initial state $$\sigma ^0 = \left\{...

Journal of Statistical Physics > 2004 > 117 > 3-4 > 427-452

Journal of Statistical Physics > 2005 > 118 > 1-2 > 85-101

^{ℤ}

^{2}where the initial configuration ω_0 is chosen according to a Bernoulli product measure, 1’s are stable, and 0’s become 1’s if they are surrounded by at least three neighboring 1’s. In this paper we show that the configuration ω_n at time n converges exponentially fast to a final configuration $$\bar\omega$$, and that the limiting measure corresponding...

Journal of Statistical Physics > 2005 > 119 > 1-2 > 273-307

*d*containing classical charged particles in thermal equilibrium (plasma, electrolyte). A direct computation of the average force per unit surface yields, at large distance, the usual form of the...

Journal of Statistical Physics > 2005 > 121 > 5-6 > 697-748

Journal of Statistical Physics > 2007 > 129 > 5-6 > 937-948

*Universality in Random Matrix Theory for Orthogonal and Symplectic Ensembles*.

*IMRP Int. Math. Res. Pap.*(in press) which is crucial for the proof of universality in the bulk P. Deift and D. Gioev,

*Universality in Random Matrix Theory for Orthogonal and Symplectic Ensembles*.

*IMRP Int. Math. Res. Pap.*(in press)...

Journal of Statistical Physics > 2007 > 129 > 5-6 > 949-1053

*K*

_{ n, β}, correlation and cluster functions,...

Journal of Statistical Physics > 2008 > 130 > 2 > 205-250

*C*

^{2}and locally

*C*

^{3}function (see Theorem 3.1). The proof as our previous proof in (Pastur and Shcherbina in J. Stat. Phys. 86:109–147, 1997) is based on the orthogonal polynomial techniques but does not use asymptotics of orthogonal...

Journal of Statistical Physics > 2008 > 133 > 1 > 169-202

Journal of Statistical Physics > 2009 > 136 > 1 > 35-50

Journal of Statistical Physics > 2010 > 138 > 6 > 1084-1108

Journal of Statistical Physics > 2010 > 139 > 1 > 72-107

*affine*PA-models. There is a substantial amount of literature proving that, quite generally, PA-graphs possess power-law...