Local minimization of fuzziness under high symmetry

By Franco Vargas Pallete

Appears in collection : 2025 - T2 - WS2 - Low-dimensional phenomena: geometry and dynamics

For a given hyperbolic 3-manifold $M$ with Fuchsian ends, it is a question of Canary and Taylor whether $M$ minimizes the Hausdorff dimension of the limit set among its convex co-compact deformations. In this talk we will show how this holds locally if $M$ is sufficiently symmetric. Based in work in progress with Sami Douba and Andrés Sambarino.

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