A stochastic adding machine and complex dynamics

DOI10.1088/0951-7715/13/6/302zbMath0978.37001OpenAlexW2009783431WikidataQ42174276 ScholiaQ42174276MaRDI QIDQ4521386

Peter R. Killeen, Thomas J. S. Taylor

Publication date: 7 February 2002

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc2651092

zbMATH Keywords

spectrumJulia setMarkov chaintransition operatortransition matrixquadratic mapstochastic binary 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) Applications of operator theory in chemistry and life sciences (47N60)

Related Items (10)

A class of adding machines and Julia sets ⋮ Generalized adding machines and Julia sets ⋮ Julia sets for Fibonacci endomorphisms of ℝ² ⋮ Stochastic adding machine and 2-dimensional Julia sets ⋮ Spectra of generalized stochastic adding machines ⋮ EIGENVALUES OF FIBONACCI STOCHASTIC ADDING MACHINE ⋮ Stochastic adding machines based on Bratteli diagrams ⋮ Filled Julia set of some class of Hénon-like maps ⋮ SPECTRUM OF STOCHASTIC ADDING MACHINES AND FIBERED JULIA SETS ⋮ On the Fibonacci complex dynamical systems

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