3 papers
math.DS2025
Symbolic dynamics for non-uniformly hyperbolic flows in high dimension
Yuri Lima, Juan Carlos Mongez, João Paulo Nascimento
We construct symbolic dynamics for flows with positive speed in any dimension: for each , we code a set that has full measure for every invariant probability measure which is…
math.DS2025
Partially hyperbolic diffeomorphisims with a finite number of measures of maximal entropy
Juan Carlos Mongez, Maria José Pacifico, Mauricio Poletti
We prove the finiteness of ergodic measures of maximal entropy for partially hyperbolic diffeomorphisms where the center direction has a dominated decomposition into one dimensiona…
math.DS2024
Finite Measures of Maximal Entropy for an Open Set of Partially Hyperbolic Diffeomorphisms
Juan Carlos Mongez, Maria Jose Pacifico
We consider partially hyperbolic diffeomorphisms with a one-dimensional central direction such that the unstable entropy exceeds the stable entropy. Our main result proves that…