Random composition of two rational maps: singularity of the invariant measure.

DOI10.1007/BF01019151zbMath1084.37515MaRDI QIDQ1963564

Elisabetta Scoppola, Fabio Martinelli

Publication date: 2 February 2000

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

Markov chainsinvariant measurefractalsAnderson localization

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10)

Related Items

Small random perturbations of dynamical systems: Exponential loss of memory of the initial condition, Regularity of the invariant measure and of the density of states in the one-dimensional Anderson model, A new transition for projections of multifractal measures and random maps

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