SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS

DOI10.1142/S0219493712500219zbMath1385.37006arXiv1304.2874OpenAlexW1987742587WikidataQ123201297 ScholiaQ123201297MaRDI QIDQ2841320

Olivier Sester, Ali Messaoudi, Glauco Valle

Publication date: 24 July 2013

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.2874

zbMATH Keywords

Julia setMarkov chaintransition operatorstochastic adding machine

Mathematics Subject Classification ID

Small divisors, rotation domains and linearization in holomorphic dynamics (37F50) Spectrum, resolvent (47A10) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (5)

A class of adding machines and Julia sets ⋮ Generalized adding machines and Julia sets ⋮ Stochastic adding machine and 2-dimensional Julia sets ⋮ Spectra of generalized stochastic adding machines ⋮ Stochastic adding machines based on Bratteli diagrams

Cites Work

• On the spectrum of stochastic perturbations of the shift and Julia sets
• EIGENVALUES OF FIBONACCI STOCHASTIC ADDING MACHINE
• The formula of riemann-hurwitz and iteration of rational functions
• A stochastic adding machine and complex dynamics
• Hyperbolicité des polynômes fibrés

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