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Type: Artigo de periódico
Title: A Sampling Theorem For Rotation Numbers Of Linear Processes In R 2
Author: Ruffino P.R.C.
Abstract: We prove an ergodic theorem for the rotation number of the composition of a sequence os stationary random homeomorphisms in S 1. In particular, the concept of rotation number of a matrix g ε G1 + (2, ℝ) can be generalized to a product of a sequence of stationary random matrices in Gl +(2, ℝ). In this particular case this result provides a counter-part of the Osseledec's multiplicative ergodic theorem which guarantees the existence of Lyapunov exponents. A random sampling theorem is then proved to show that the concept we propose is consistent by discretization in time with the rotation number of continuous linear processes on ℝ. © 2000 VSP.
Rights: fechado
Identifier DOI: 
Date Issue: 2000
Appears in Collections:Unicamp - Artigos e Outros Documentos

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