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math.DS2026
Lyapunov spectrum of homoclinic classes
Lorenzo J. Díaz, Katrin Gelfert, Xiaodong Wang +1
We study the Lyapunov spectrum of the ergodic measures of isolated homoclinic classes of -generic diffeomorphisms. We show that this spectrum has nonempty interior and that an…
math.DS2026
Denseness of zero entropy aperiodic ergodic measures
Camila Crispin, Lorenzo J. Díaz
We study partially hyperbolic homoclinic classes of -generic diffeomorphisms with a one-dimensional central bundle, so that the central Lyapunov exponent is well defi…