4 papers
Hyperbolicity of complements of orbits in Anosov flows
Sergio Fenley, Tali Pinsky, Mario Shannon
We show that if an Anosov flow on a 3-dimensional manifold has orientable stable and unstable foliations, then the complement of any filling periodic orbit is a hyperbolic manifold…
Fourier decay and non-decay for pseudo-affine self-conformal measures
Amir Algom, Snir Ben Ovadia, Federico Rodriguez Hertz +1
We study the sharpness of recent sufficient conditions for polynomial Fourier decay of self conformal measures on the line. First, we construct a iterated function syste…
Infinitely many closed paths in the graph of Anosov flows
Mario Shannon
Given an Anosov flow on a closed 3-manifold, we are interested in the problem of whether or not making non-trivial Fried surgeries along a finite set of periodic orbits can produce…
How linear can a non-linear hyperbolic IFS be?
Amir Algom, Snir Ben Ovadia, Federico Rodriguez Hertz +1
Motivated by a question of M. Hochman, we construct examples of hyperbolic IFSs on where linear and non-linear behaviour coexist. Namely, for every $2\leq r \leq \infty…