Dynamics, operators and ergodicity

• Grant number: 17/22588-0
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: March 01, 2018
• End date: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Ali Messaoudi
• Grantee: Ali Messaoudi
• Visiting researcher: Nilson da Costa Bernardes Junior
• Visiting researcher institution: Universidade Federal do Rio de Janeiro (UFRJ). Instituto de Matemática (IM), Brazil
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Associated research grant: 13/24541-0 - Ergodic and qualitative theory of dynamical systems, AP.TEM

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)

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.; BONILLA, A.; PERIS, A.. Mean Li-Yorke chaos in Banach spaces. JOURNAL OF FUNCTIONAL ANALYSIS, v. 278, n. 3, FEB 1 2020. (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., 2019-10-17. (17/22588-0, 17/19360-8, 18/06916-0)

BERNARDES, JR., N. C.; DARJI, U. B.; PIRES, B.. Li-Yorke chaos for composition operators on L-p-spaces. MONATSHEFTE FUR MATHEMATIK, OCT 2019. (17/22588-0, 17/19360-8, 18/06916-0)

BERNARDES JR, NILSON C.; MESSAOUDI, ALI. A GENERALIZED GROBMAN-HARTMAN THEOREM. Proceedings of the American Mathematical Society, v. 148, n. 10, p. 4351-4360, OCT 2020. (17/22588-0, 19/10269-3)

BERNARDES, JR., NILSON C.; MESSAOUDI, ALI. hadowing and structural stability for operator. Ergodic Theory and Dynamical Systems, v. 41, n. 4, p. 961-980, APR 2021. (19/10269-3, 17/22588-0)