Characterization of Ergodic Measures of Maximal Entropy for Topologically Transitive Partially Hyperbolic Diffeomorphisms with Compact Center Leaves

Crisostomo J.; Cubas R. · Journal of Statistical Physics (2026) · DOI: 10.1007/s10955-026-03702-2

Resumen

In this paper, we provide an upper bound on the number of maximal entropy ergodic measures with zero Lyapunov exponent for topologically transitive partially hyperbolic diffeomorphisms with compact one-dimensional center leaves on T3. Furthermore, we establish a comprehensive characterization of the support of these measures. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2026.

Instituciones: Universidad Nacional Mayor de San Marcos; Universidad Científica del Sur