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Probabilistic Approach to Critical Behavior

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Part of the book series: Nato Advanced Study Institutes Series ((ASIB,volume 26))

Abstract

The aim of these lectures is to give an introduction to some recent developments in probability theory which, besides having an independent interest, seem to provide a very effective tool in view of a mathematically rigorous description of critical phenomena. What is involved is the construction of a systematic theory of limit distributions for sums of “strongly dependent” random variables. The notion of strong dependence will be made precise later. For the moment, as a working definition, we take it to mean that the central limit theorem is not valid.

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© 1977 Plenum Press, New York

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Jona-Lasinio, G. (1977). Probabilistic Approach to Critical Behavior. In: Lévy, M., Mitter, P. (eds) New Developments in Quantum Field Theory and Statistical Mechanics Cargèse 1976. Nato Advanced Study Institutes Series, vol 26. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-8918-1_20

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  • DOI: https://doi.org/10.1007/978-1-4615-8918-1_20

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-8920-4

  • Online ISBN: 978-1-4615-8918-1

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