This analysis reveals characteristics of maximal entropy ergodic measures with zero Lyapunov exponent, indicating their support in compact center leaves.
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.
No takes yet. Share an insight, caveat, or question.
Parejas et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: