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Entropic Repulsion of the Lattice Free Field
"... Consider the massless free field on the ddimensional lattice Z d ; d 3; that is the centered Gaussian field on R Z d with covariances given by the Green function of the simple random walk on Z d . We show that the probability, that all the spins are positive in a box of volume N d , decay ..."
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Cited by 30 (4 self)
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Consider the massless free field on the ddimensional lattice Z d ; d 3; that is the centered Gaussian field on R Z d with covariances given by the Green function of the simple random walk on Z d . We show that the probability, that all the spins are positive in a box of volume N d
Low Dimensional Ordering on a Lattice Model
, 1997
"... A simple ddimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d = 2 the model is shown to be equivalent to the standard twodimensional Ising model, while for d ..."
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A simple ddimensional lattice model is proposed, incorporating some degree of frustration and thus capable of describing some aspects of molecular orientation in covalently bound molecular solids. For d = 2 the model is shown to be equivalent to the standard twodimensional Ising model, while
How many different parties can join into one stable government?
, 2003
"... Monte Carlo simulations of the Sznajd model with bounded confidence for varying dimensions show that the probability to reach a consensus in ddimensional lattices depends only weakly on d but strongly on the number Q of possible opinions: Q = 3 usually leads to consensus, Q = 4 does not. ..."
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Cited by 2 (0 self)
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Monte Carlo simulations of the Sznajd model with bounded confidence for varying dimensions show that the probability to reach a consensus in ddimensional lattices depends only weakly on d but strongly on the number Q of possible opinions: Q = 3 usually leads to consensus, Q = 4 does not.
On the Number of Lattice Hyperplanes Which Are Needed to Cover the Lattice Points of a Convex Body
 Colloq. Math. Soc. Janos Bolyai
"... Let K be a convex body of E a and L be a ddimensional lattice of E a, where d _> 2. Assume that the union of n lattice hyperplanes of L covers the lattice points in K N L 5d . In this note we prove that n _> c ds wL(K), where wL(K) denotes the lattice width of K with respect to L and c is a ..."
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Cited by 5 (1 self)
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Let K be a convex body of E a and L be a ddimensional lattice of E a, where d _> 2. Assume that the union of n lattice hyperplanes of L covers the lattice points in K N L 5d . In this note we prove that n _> c ds wL(K), where wL(K) denotes the lattice width of K with respect to L and c
SYMMETRIES OF AN EXTENDED HUBBARD MODEL
, 1996
"... Abstract. An extended Hubbard model with phonons is considered on a Ddimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting SUq(2) holds as a true quantum symmetry—but only for D = 1. 1. ..."
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Abstract. An extended Hubbard model with phonons is considered on a Ddimensional lattice. The symmetries of the model are studied in various cases. It is shown that for a certain choice of the parameters a superconducting SUq(2) holds as a true quantum symmetry—but only for D = 1. 1.
A Convergence Proof for Linked Cluster Expansions
, 2008
"... We prove that for a general Ncomponent model on a ddimensional lattice Z d with pairwise nearestneighbor coupling and general local interaction obeying a stability bound the linked cluster expansion has a finite radius of convergence. The proof uses Mayer Montroll equations for connected Green fu ..."
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We prove that for a general Ncomponent model on a ddimensional lattice Z d with pairwise nearestneighbor coupling and general local interaction obeying a stability bound the linked cluster expansion has a finite radius of convergence. The proof uses Mayer Montroll equations for connected Green
Regularity of the Interband Light Absorption Coefficient
, 2008
"... In this paper we consider the Interband Light Absorption Coefficient (ILAC), in a symmetric form, in the case of random operators on the ddimensional lattice. We show that the symmetrized version of ILAC is either continuous or has a component which has the same modulus of continuity as the density ..."
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In this paper we consider the Interband Light Absorption Coefficient (ILAC), in a symmetric form, in the case of random operators on the ddimensional lattice. We show that the symmetrized version of ILAC is either continuous or has a component which has the same modulus of continuity
condmat/9510074 On Quantum Groups in the Hubbard Model with Phonons
, 1995
"... The correct Hamiltonian for an extended Hubbard model with quantum group symmetry as introduced by Montorsi and Rasetti is derived for a Ddimensional lattice. It is shown that the superconducting SUq(2) holds as a true quantum symmetry only for D = 1 and that terms of higher order in the fermionic ..."
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The correct Hamiltonian for an extended Hubbard model with quantum group symmetry as introduced by Montorsi and Rasetti is derived for a Ddimensional lattice. It is shown that the superconducting SUq(2) holds as a true quantum symmetry only for D = 1 and that terms of higher order in the fermionic
1 LRO IN LATTICE SYSTEMS OF LINEAR CLASSICAL AND QUANTUM OSCILLATORS.
, 1999
"... A b s t r a c t For systems of onecomponent interacting oscillators on the ddimensional lattice, d> 1, whose potential energy besides a large nearestneighbour (nn) ferromagnetic translationinvariant quadratic term contains small nonnearestneighbour translation invariant term, an existence o ..."
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A b s t r a c t For systems of onecomponent interacting oscillators on the ddimensional lattice, d> 1, whose potential energy besides a large nearestneighbour (nn) ferromagnetic translationinvariant quadratic term contains small nonnearestneighbour translation invariant term, an existence
Analyticity of the SRB measure of a lattice of coupled Anosov diffeomorphisms of the torus
 Mathematical Physics Journal
"... 2008 We consider the “thermodynamic limit ” of a ddimensional lattice of hyperbolic dynamical systems on the 2torus, interacting via weak and nearest neighbor coupling. We prove that the SRB measure is analytic in the strength of the coupling. The proof is based on symbolic dynamics techniques tha ..."
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Cited by 4 (1 self)
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2008 We consider the “thermodynamic limit ” of a ddimensional lattice of hyperbolic dynamical systems on the 2torus, interacting via weak and nearest neighbor coupling. We prove that the SRB measure is analytic in the strength of the coupling. The proof is based on symbolic dynamics techniques
Results 11  20
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1,817