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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…