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Topological and ergodic aspects of linear dynamics

Grant number: 21/02672-2
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): October 01, 2021
Effective date (End): January 31, 2025
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:José Régis Azevedo Varão Filho
Grantee:Daniel Aguilar Gomes
Home Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

This project analyzes the ergodic theory for continuous linear operators in Banach space. The non-compactness of the Banach space does not allow the use of classic tools and therefore imposes new challenges. The idea is to seek to characterize invariant measures for linear operators, as well as understant it for important cases such as weighted shifts. (AU)

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