Characterization of Ergodic Measures of Maximal Entropy for Topologically Transitive Partially Hyperbolic Diffeomorphisms with compact center leaves

Key Points

• Establishing an upper limit on the number of maximal entropy ergodic measures advances understanding of complex dynamical systems.
• These measures are identified through analysis of topologically transitive partially hyperbolic diffeomorphisms and compact center leaves.
• Comprehensive characterization of these measures enhances foundational knowledge in ergodic theory and dynamical systems.
• Revealing the nature of ergodic measures supports future studies in the context of dynamical systems with varying stability.