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Odd cutsets and the hard-core model on $ℤ^{d}$

Ron Peled, Wojciech Samotij (2014)

Annales de l'I.H.P. Probabilités et statistiques

We consider the hard-core lattice gas model on $ℤ^{d}$ and investigate its phase structure in high dimensions. We prove that when the intensity parameter exceeds $C d^{- 1 / 3} {(log d)}^{2}$ , the model exhibits multiple hard-core measures, thus improving the previous bound of $C d^{- 1 / 4} {(log d)}^{3 / 4}$ given by Galvin and Kahn. At the heart of our approach lies the study of a certain class of edge cutsets in $ℤ^{d}$ , the so-called odd cutsets, that appear naturally as the boundary between different phases in the hard-core model. We provide a refined combinatorial...

On a class of infinite products occurring in quantum statistical mechanics

G. Fano, G. Loupias (1971)

Annales de l'I.H.P. Physique théorique

On a statistical interrelation between boiling point and transition to superconductivity.

Grycko, Eugen, Kirsch, Werner (2009)

General Mathematics

On an invariance principle for phase separation lines

Lev Greenberg, Dmitry Ioffe (2005)

Annales de l'I.H.P. Probabilités et statistiques

On coarse-grained entropy and mixing in statistical mechanics.

Chakrabarti, C.G. (1989)

International Journal of Mathematics and Mathematical Sciences

On constrained annealed bounds for pinning and wetting models.

Caravenna, Francesco, Giacomin, Giambattista (2005)

Electronic Communications in Probability [electronic only]

On differentiability of the Parisi formula.

Panchenko, Dmitry (2008)

Electronic Communications in Probability [electronic only]

On disagreement percolation and maximality of the critical value for iid percolation.

Jonasson, Johan (2001)

Electronic Journal of Probability [electronic only]

On long range percolation with heavy tails.

Friedli, Sacha, de Lima, Bernardo Nunes Borges, Sidoravicius, Vladas (2004)

Electronic Communications in Probability [electronic only]

On nonperturbative localization with quasi-periodic potential.

Bourgain, J., Goldstein, M. (2000)

Annals of Mathematics. Second Series

On quantum fields and systems with ordered ground state.

Elishavili, Merab (1996)

Memoirs on Differential Equations and Mathematical Physics

On quantum informational thermodynamics with macrostates defined with respect to several operators [Book]

Bolesław Szafnicki (1970)

On quenched and annealed critical curves of random pinning model with finite range correlations

Julien Poisat (2013)

Annales de l'I.H.P. Probabilités et statistiques

This paper focuses on directed polymers pinned at a disordered and correlated interface. We assume that the disorder sequence is a $q$ -order moving average and show that the critical curve of the annealed model can be expressed in terms of the Perron–Frobenius eigenvalue of an explicit transfer matrix, which generalizes the annealed bound of the critical curve for i.i.d. disorder. We provide explicit values of the annealed critical curve for $q = 1$ and $q = 2$ and a weak disorder asymptotic in the general case....

On recurrent and transient sets of inhomogeneous symmetric random walks.

Giacomin, Giambattista, Posta, Gustavo (2001)

Electronic Communications in Probability [electronic only]

On relations between additive and multiplacative clustering operators

H. Żołądek (1988)

Studia Mathematica

On the approach to equilibrium for a polymer with adsorption and repulsion.

Caputo, Pietro, Martinelli, Fabio, Toninelli, Fabio Lucio (2008)

Electronic Journal of Probability [electronic only]

On the concept of the asymptotic Rényi distances for random fields

Martin Janžura (1999)

Kybernetika

The asymptotic Rényi distances are explicitly defined and rigorously studied for a convenient class of Gibbs random fields, which are introduced as a natural infinite-dimensional generalization of exponential distributions.

Currently displaying 1 – 20 of 50

Page 1 Next

Displaying 1 – 20 of 50

Odd cutsets and the hard-core model on $ℤ^{d}$

On a class of infinite products occurring in quantum statistical mechanics

On a statistical interrelation between boiling point and transition to superconductivity.

On an invariance principle for phase separation lines

On coarse-grained entropy and mixing in statistical mechanics.

On constrained annealed bounds for pinning and wetting models.

On differentiability of the Parisi formula.

On disagreement percolation and maximality of the critical value for iid percolation.

On long range percolation with heavy tails.

On nonperturbative localization with quasi-periodic potential.

On quantum fields and systems with ordered ground state.

On quantum informational thermodynamics with macrostates defined with respect to several operators [Book]

On quenched and annealed critical curves of random pinning model with finite range correlations

On recurrent and transient sets of inhomogeneous symmetric random walks.

On relations between additive and multiplacative clustering operators

On the approach to equilibrium for a polymer with adsorption and repulsion.

On the concept of the asymptotic Rényi distances for random fields

On the counting of fully packed loop configurations: some new conjectures.

On the degenerate multiplicity of the $s l_{2}$ loop algebra for the 6V transfer matrix at roots of unity.

On the dimer problem and the Ising problem in finite 3-dimensional lattices.

Currently displaying 1 – 20 of 50