ZETA FUNCTIONS FOR TWO-DIMENSIONAL SHIFTS OF FINITE TYPE

The proof then has three stages: (i) the Markov shift is shown to be measurably conjugate to a part of the natural extension of the puzzle dynamics; (ii) the entropies of the

The most obvious choice is the ground state of the Coulomb term for the insulating phase (corresponding to the classical Wigner superlattice) compared to the ground state of the

By Poincaré duality (loc. cit.) the pairing in the second line is nondegenerate, and therefore the pairing in the first line is too... PROOF: The first equality is

The calculation of multipoint correlation functions can be reduced to the problem of finding Ising spin matrix elements (the so-called form factors) in the orthonormal basis of

We present the explicit formulas for all spin matrix elements in 2D Ising model with the nearest neighbor interaction on the finite periodic square lattice.. These

In this paper we present exact expressions for the 2-point correlation function and the susceptibility of the 2D Ising model on the lattice with one finite ( N = const ) and

In summary, the conclusions of our work are (1) one must be very careful in deducing critical point exponents from the small number of coefficients available

modulated structures observed in other systems (V-Ni-Si, Mo-Cr-Fe). According to the electron diffraction patterns, these modulated phases are precursor states of the cubic