Multifractal spectra of certain random Gibbs measures

We consider a random Gibbs measure [mu](d[eta],[omega]) generated by a certain sequence of random functions gn([eta],[omega]) on the configuration space of one-dimensional system of lattice particles. Under concrete conditions, we prove that, for almost sure [omega], [mu](d[eta],[omega]) has a non-random non-trivial multifractal spectrum. The basic idea is to relate our situation to random matrix products discussed in Ruelle (1979, Adv. Math. 32, 68-80).

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Year of publication:	2000
Authors:	Fan, Ai Hua ; Shieh, Narn-Rueih
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 47.2000, 1, p. 25-31
Publisher:	Elsevier
Keywords:	Gibbs measure Pressure function Multifractal spectrum

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005074536