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Random Measures on Trees and Thermodynamic Formalism

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Trees

Part of the book series: Progress in Probability ((PRPR,volume 40))

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Abstract

Progress made recently on the understanding of phase transitions of disordered systems is reviewed (joint work with P. Collet). Such understanding relies on the use of the thermodynamic formalism for the study of singularities of some random measures defined by iterated multiplications.

Résumé

L’étude, à l’aide du formalisme thermodynamique, de singularités locales de certaines mesures aléatoires et la relation avec le comportement critique de systèmes désordonnés est présentée brièvement (travail en collaboration avec P.Collet).

Work partially supported by the EU grant CHRX-CT93-0411

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References

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© 1996 Birkhäuser Verlag Basel

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Koukiou, F. (1996). Random Measures on Trees and Thermodynamic Formalism. In: Chauvin, B., Cohen, S., Rouault, A. (eds) Trees. Progress in Probability, vol 40. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9037-3_3

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  • DOI: https://doi.org/10.1007/978-3-0348-9037-3_3

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9879-9

  • Online ISBN: 978-3-0348-9037-3

  • eBook Packages: Springer Book Archive

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