Decay of correlations and uniqueness of Gibbs lattice systems with nonquadratic interaction
From MaRDI portal
Publication:4716462
DOI10.1063/1.531715zbMath0859.60099arXiv2108.11728OpenAlexW3195704028MaRDI QIDQ4716462
Alexander Val. Antoniouk, Alexandra Vict. Antoniouk
Publication date: 9 April 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2108.11728
Other physical applications of random processes (60K40) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)
Related Items (3)
REMARKS ON DECAY OF CORRELATIONS AND WITTEN LAPLACIANS II — ANALYSIS OF THE DEPENDENCE ON THE INTERACTION ⋮ Witten Laplacian method for the decay of correlations ⋮ Remarks on decay of correlations and Witten Laplacians Brascamp-Lieb inequalities and semiclassical limit
Cites Work
- The infrared behaviour of \((\nabla \Phi)^ 4_ 3\)
- Grad \(\phi\) perturbations of massless Gaussian fields
- Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
- A remark on Dobrushin's uniqueness theorem
- Decay of correlations in classical lattice models at high temperature
- A covariance estimate for Gibbs measures
- Decay of correlations under Dobrushin's uniqueness condition and its applications
- Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
- Existence and uniqueness of DLR measures for unbounded spin systems
- Prescribing a System of Random Variables by Conditional Distributions
This page was built for publication: Decay of correlations and uniqueness of Gibbs lattice systems with nonquadratic interaction
