EIGENVALUES OF FIBONACCI STOCHASTIC ADDING MACHINE

Author(s)

Messaoudi, A. ^[1] ; Smania, D. ^[2]

Affiliation

^[1] IBILCE UNESP, Dept Matemat, BR-15054000 Sao Jose De Rio Preto, SP - Brazil

^[2] ICMC USP, Dept Matemat, BR-13560970 Sao Carlos, SP - Brazil

• Document type: Journal article
• Source: Stochastics and Dynamics; v. 10, n. 2, p. 291-313, JUN 2010.
• Web of Science Citations: 6

Abstract

In this work, we compute the eigenvalues of the transition operator associated to the Fibonacci stochastic adding machine. In particular, we show that the eigenvalues are connected to the set kappa of complex numbers z where (z(2), z) belongs to the filled Julia set of a particular endomorphism of C(2). We also study some topological properties of the set kappa. (AU)

• FAPESP's process: 08/02841-4 - Topology, geometry and ergodic theory of dynamical systems
• Grantee: Jorge Manuel Sotomayor Tello
• Support Opportunities: Research Projects - Thematic Grants
• FAPESP's process: 03/03107-9 - Qualitative theory of differential equations and singularity theory
• Grantee: Carlos Teobaldo Gutierrez Vidalon
• Support Opportunities: Research Projects - Thematic Grants