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math.DS2023
Lagrange and Markov spectra for typical smooth systems
Jamerson Bezerra, Carlos Gustavo Moreira, Sandoel Vieira
We prove that among the set of smooth diffeomorphisms there exists a -open and dense subset of data such that either the Lagrange spectrum is finite and the dynamics is a Mors…
math.DS2023
An invitation to cocycles over random dynamics
Jamerson Bezerra, Mauricio Poletti
The purpose of these notes is to discuss the advances in the theory of Lyapunov exponents of linear cocycles over hyperbolic maps. The main focus is aroun…