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math.DS2021
Birkhoff sums as distributions II: Applications to deformations of dynamical systems
Clodoaldo Grotta-Ragazzo, Daniel Smania
Often topological classes of one-dimensional dynamical systems are finite codimension smooth manifolds. We describe a method to prove this sort of statement that we believe can be…
math.DS2021
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…