3 papers
math.DS2026
Deformation and perturbative rigidity near de la Llave examples
Andrey Gogolev, Martin Leguil
De la Llave's examples are Anosov diffeomorphisms on the four-torus with constant Lyapunov spectrum, yet they are not -conjugate to the linear model or to eac…
math.DS2024
Bouncing Outer Billiards
Andrey Gogolev, Levi Keck, Kevin Lewis
We introduce a new class of billiard-like system, ``bouncing outer billiards" which are 3-dimensional cousins of outer billiards of Neumann and Moser. We prove that bouncing outer…
math.DG2024
A counterexample to marked length spectrum semi-rigidity
Andrey Gogolev, James Marshall Reber
Given a closed orientable negatively curved Riemannian surface , we show how to construct a perturbation such that each closed geodesic becomes longer, and ye…