3 citations · 4 across the 5 of their papers we have counts for
7 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…
Hyperbolic models of transitive topologically Anosov flows in dimension three
Mario Shannon
We prove that every transitive topologically Anosov flow on a closed 3-manifold is orbitally equivalent to a smooth Anosov flow, preserving an ergodic smooth volume form.
Almost equivalence of suspension Anosov flows
Mario Shannon, Pierre Dehornoy
We provide a written proof of a result due to H. Minakawa, which states that all suspension Anosov flows generated by hyperbolic matrices with positive trace are pairwise almost eq…
Seifert manifolds admitting partially hyperbolic diffeomorphisms
Andy Hammerlindl, Rafael Potrie, Mario Shannon
We characterize which 3-dimensional Seifert manifolds admit transitive partially hyperbolic diffeomorphisms. In particular, a circle bundle over a higher-genus surface admits a tra…