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Spin Systems with Long Range Interactions

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From Classical to Modern Probability

Part of the book series: Progress in Probability ((PRPR,volume 54))

In these notes I will review some of the results on Ising spin systems with Kac potentials. The basic feature of these models is that they are finite range approximations of mean field interactions, i.e., the interaction between particles is parametrized by their range γ-1, the limit γ → 0 corresponding to mean field.

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Author information

Authors and Affiliations

  1. Dipartimento di Matematica Pura ed Applicata, Universitá di L’Aquila, 67100, L’Aquila, Italy

    Anna De Masi

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  1. Anna De Masi
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Editors and Affiliations

  1. Centre de Physique Théorique, CNRS, Campus de Luminy Case 907, 13288, Marseille Cedex 9, France

    Pierre Picco

  2. Departamento de Ingeniería Matemática, Universidad de Chile, Blanco Encalada, 2120, Santiago, Chile

    Jaime San Martin

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De Masi, A. (2003). Spin Systems with Long Range Interactions. In: Picco, P., San Martin, J. (eds) From Classical to Modern Probability. Progress in Probability, vol 54. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8053-4_2

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  • DOI: https://doi.org/10.1007/978-3-0348-8053-4_2

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9422-7

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