15 citations · 46 across the 15 of their papers we have counts for
10 papers · 1 filter
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,…
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-…
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…
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…
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…
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…