Anosov endomorphisms on the two-torus: regularity of foliations and rigidity

Autor(es)

Cantarino, Marisa ; Varao, Regis

• Tipo de documento: Artigo Científico
• Fonte: Nonlinearity; v. 36, n. 10, p. 24-pg., 2023-10-01.

Resumo

We provide sufficient conditions for smooth conjugacy between two Anosov endomorphisms on the two-torus. From that, we also explore how the regularity of the stable and unstable foliations implies smooth conjugacy inside a class of endomorphisms including, for instance, the ones with constant Jacobian. As a consequence, we have in this class a characterisation of smooth conjugacy between special Anosov endomorphisms (defined as those having only one unstable direction for each point) and their linearisations. (AU)

• Processo FAPESP: 18/13481-0 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
• Beneficiário: Marco Antônio Teixeira
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 17/06463-3 - Aspectos probabilísticos e algébricos de sistemas dinâmicos suaves
• Beneficiário: Ali Tahzibi
• Modalidade de apoio: Auxílio à Pesquisa - Temático