Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Get quick answers to your questions about the article from our AI researcher chatbot

Primary Location

Authors

Topics

Keywords

Related Works

Title: $Local rigidity for Anosov automorphisms
Abstract: We consider an irreducible Anosov automorphism L of a torus T^d such that no three eigenvalues have the same modulus. We show that L is locally rigid, that is, L is C^1 conjugate to any C^1-small perturbation f with the same periodic data. We also prove that toral automorphisms satisfying these assumptions are generic in SL(d,Z). Examples constructed in the Appendix by Rafael de la Llave show importance of the assumption on the eigenvalues.