15 citations · 46 across the 15 of their papers we have counts for
17 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…
The Farey tree and fibrations of the Whitehead link complement
Tali Pinsky
We show a curious connection between an example of dynamical forcing, where an existence of one periodic orbit for a dynamical system forces the existence of other periodic orbits,…
New Anosov flows via bicontact structures
Tali Pinsky, Federico Salmoiraghi
We present a new approach to hyperbolic plugs, via a construction of bicontact plugs on 3-manifolds with boundary that are surface bundles over the circle. The boundary components…
Rigidity of highly twisted plat diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky +1
In this paper we prove that if a knot or link has a sufficiently complicated plat projection, then that plat projection is unique. More precisely, if a knot or link has a -plat…
Arithmetic modular links
José Andrés Rodríguez Migueles, Tali Pinsky, Jessica S. Purcell
We construct a sequence of geodesics on the modular surface such that the complement of the canonical lifts to the unit tangent bundle are arithmetic 3-manifolds.
Highly twisted diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky
We prove that the knots and links that admit a 3-highly twisted irreducible diagram with more than two twist regions are hyperbolic. This should be compared with a result of Futer-…
Analytical study of The Lorenz system: existence of infinitely many periodic orbits and their topological characterization
Tali Pinsky
We consider the Lorenz equations, a system of three dimensional ordinary differential equations modeling atmospheric convection. These equations are chaotic and hard to study even…
Highly twisted plat diagrams
Nir Lazarovich, Yoav Moriah, Tali Pinsky
We prove that the knots and links in the infinite set of -highly twisted -plats, with , are all hyperbolic. This should be compared with a result of Futer-Purcell…
Graph manifolds that admit arbitrarily many Anosov flows
Adam Clay, Tali Pinsky
For each natural number n, we construct an example of a graph manifold supporting at least n different Anosov flows that are not orbit equivalent. Our construction is reminiscent o…
Lorenz attractors and the modular surface
Christian Bonatti, Tali Pinsky
We define an extension of the geometric Lorenz model, defined on the three sphere. This geometric model has an invariant one dimensional trefoil knot, a union of invariant manifold…
Volumes of hyperbolic three-manifolds associated to modular links
Alex Brandts, Tali Pinsky, Lior Silberman
Periodic geodesics on the modular surface correspond to periodic orbits of the geodesic flow in its unit tangent bundle $\mathrm{PSL}_2(\mathbb{Z})\backslash\mathrm{PSL}_2(\mathbb{…
Tunnel number one knots satisfy the Berge Conjecture
Tao Li, Yoav Moriah, Tali Pinsky
Let be a tunnel number one knot in with irreducible knot exterior, where is either , or a connected sum of with any lens space. (In particular, thi…
On the topology of the Lorenz system
Tali Pinsky
We present a new paradigm for three dimensional chaos, and specifically for the Lorenz equations. The main difficulty in these equations and for a generic flow in dimension three i…
An upper bound for the volumes of complements of periodic geodesics
Maxime Bergeron, Tali Pinsky, Lior Silberman
A periodic geodesic on a surface has a natural lift to the unit tangent bundle; when the complement of this lift is hyperbolic, its volume typically grows as the geodesic gets long…
Coding of geodesics and Lorenz-like templates for some geodesic flows
Pierre Dehornoy, Tali Pinsky
We construct a template with two ribbons that describes the topology of all periodic orbits of the geodesic flow on the unit tangent bundle to any sphere with three cone points wit…
Templates for geodesic flows
Tali Pinsky
The fact that the modular template coincides with the Lorenz template, discovered by Ghys, implies modular knots have very peculiar properties. We obtain a generalization of these…
Dynamics of shear homeomorphisms of tori and the Bestvina-Handel algorithm
Tali Pinsky, Bronislaw Wajnryb
Sharkovskii proved that the existence of a periodic orbit in a one-dimensional dynamical system implies existence of infinitely many periodic orbits. We obtain an analog of Sharkov…