3 papers
math.DS2026
Brjuno-Like Functions for nonlinear expanding maps: Fractional Derivatives and Regularity Dichotomies
Stefano Marmi, Daniel Smania
Cohomological equations appear frequently in dynamical systems. One of the most classical examples is the LivÅ¡ic equation The existence and regul…
math.DS2025
Discontinuous observables as an obstruction for small essential spectral radius
Oliver Butterley, Daniel Smania
We show that for a very wide class of Banach spaces of functions on [0,1] there are intrinsic lower bounds for the essential spectral radius of the transfer operator associated to…
math.DS2024
Birkhoff sums as distributions I: Regularity
Clodoaldo Grotta-Ragazzo, Daniel Smania
We study Birkhoff sums as distributions. We obtain regularity results on such distributions for various dynamical systems with hyperbolicity, as hyperbolic linear maps on the torus…