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math.DS2026
Hyperbolicity of complements of orbits in Anosov flows
Sergio Fenley, Tali Pinsky, Mario Shannon
The paper proves that for Anosov flows on 3‑manifolds with orientable stable and unstable foliations, the complement of any filling periodic orbit is a hyperbolic manifold, and it…
math.DS2026
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…
math.DS2024
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…