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math.DS2021
Relating boundary and interior solutions of the cohomological equation for cocycles by isometries of negatively curved spaces. The Livsic case
Alexis Moraga, Mario Ponce
We consider the reducibility problem of cocycles by isometries of Gromov hyperbolic metric spaces in the Livsic setting. We show that provided that the boundary cocycle (that acts…
math.PR2021
The Halász-Székely Barycenter
Jairo Bochi, Godofredo Iommi, Mario Ponce
We introduce a notion of barycenter of a probability measure related to the symmetric mean of a collection of nonnegative real numbers. Our definition is inspired by the work of Ha…