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1D Ising models, compound geometric distributions and selfdecomposability

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Publication:5933507
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DOI10.1016/S0034-4877(01)90003-5zbMath1026.82006MaRDI QIDQ5933507

Zbigniew J. Jurek

Publication date: 10 December 2003

Published in: Reports on Mathematical Physics (Search for Journal in Brave)


zbMATH Keywords

1D Ising modelclass \(L\) probability distributionscompound geometric distributions


Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)


Related Items (3)

The random integral representation conjecture: a quarter of a century later ⋮ Some definite integrals arising from selfdecomposable characteristic functions ⋮ Which Urbanik class \(L_k\), do the hyperbolic and the generalized logistic characteristic functions belong to?




Cites Work

  • Infinitely divisible Gibbs states
  • Some rigorous results on the Sherrington-Kirkpatrick spin glass model.
  • The Sherrington-Kirkpatrick model of spin glasses and stochastic calculus: The high temperature case
  • Zeros of the partition function for generalized ising systems
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