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Dynamics, operators and ergodicity

Abstract

In this work, we aim to study various problems related with Dynamical systems theory, Operator theory, ergodic theory and probability.Precisely, we will study the following topics:1. Expansivity, shadowing, structural stability and ergodicity in linear dynamical systems.2. Differents types of caos in linear dynamics.3. Dynamical properties of infinite matrices and connection with Markov chains. (AU)

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Scientific publications (5)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
BERNARDES, JR., N. C.; DARJI, U. B.; PIRES, B.. Li-Yorke chaos for composition operators on L-p-spaces. MONATSHEFTE FUR MATHEMATIK, . (17/22588-0, 17/19360-8, 18/06916-0)
BERNARDES, JR., NILSON C.; MESSAOUDI, ALI. hadowing and structural stability for operator. Ergodic Theory and Dynamical Systems, v. 41, n. 4, p. 961-980, . (19/10269-3, 17/22588-0)
BERNARDES JR, NILSON C.; MESSAOUDI, ALI. A GENERALIZED GROBMAN-HARTMAN THEOREM. Proceedings of the American Mathematical Society, v. 148, n. 10, p. 4351-4360, . (17/22588-0, 19/10269-3)
BERNARDES, JR., N. C.; BONILLA, A.; PERIS, A.. Mean Li-Yorke chaos in Banach spaces. JOURNAL OF FUNCTIONAL ANALYSIS, v. 278, n. 3, . (17/22588-0)
BERNARDES, N. C., JR.; DARJI, U. B.; PIRES, B.. Li-Yorke chaos for composition operators on L-p-spaces. MONATSHEFTE FUR MATHEMATIK, v. 191, n. 1, p. 23-pg., . (17/22588-0, 17/19360-8, 18/06916-0)

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