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Title of Journal: J Stat Phys

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Abbravation: Journal of Statistical Physics

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Springer US

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DOI

10.1002/zfch.19790190308

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1572-9613

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Clustering Bounds on Emphasis Type="Italic"n/Em

Authors: Abdelmalek Abdesselam Aldo Procacci Benedetto Scoppola
Publish Date: 2009/07/28
Volume: 136, Issue: 3, Pages: 405-452
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Abstract

We prove clustering estimates for the truncated correlations ie cumulants of an unbounded spin system on the lattice We provide a unified treatment based on cluster expansion techniques of four different regimes large mass small interaction between sites large selfinteraction as well as the more delicate small selfinteraction or near massive Gaussian regime A clustering estimate in the latter regime is needed for the Bosonic case of the recent result obtained by Lukkarinen and Spohn on the rigorous control on kinetic scales of quantum fluids

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  2. Probabilistic Cellular Automata for Low-Temperature 2-d Ising Model
  3. Random Birth-and-Death Networks
  4. Fourth Moment Sum Rule for the Charge Correlations of a Two-Component Classical Plasma
  5. On Asymptotic Behavior of Multilinear Eigenvalue Statistics of Random Matrices
  6. Products of Random Matrices and Generalised Quantum Point Scatterers
  7. Symmetry of the Linearized Boltzmann Equation and Its Application
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  10. Entropy-Driven Phase Transition in a Polydisperse Hard-Rods Lattice System
  11. Knudsen Gas in a Finite Random Tube: Transport Diffusion and First Passage Properties
  12. New Horizons in Multidimensional Diffusion: The Lorentz Gas and the Riemann Hypothesis
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  14. Large Deviations for Stationary Probabilities of a Family of Continuous Time Markov Chains via Aubry–Mather Theory
  15. Revisiting the Glansdorff–Prigogine Criterion for Stability Within Irreversible Thermodynamics
  16. Ground State Energy of the One-Dimensional Discrete Random Schrödinger Operator with Bernoulli Potential
  17. A Pearson Random Walk with Steps of Uniform Orientation and Dirichlet Distributed Lengths
  18. The More the Merrier?
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