3 papers
math.GT2026
A Theorem of Wolpert, and some Variations
Ludovico Battista, Nolwenn Le Quellec, Juan Souto
We give a streamlined proof of the fact that generically, isospectral hyperbolic surfaces are isometric. We also prove some versions of this result allowing for quasi-Fuchsian grou…
math.GT2025
Ergodic Geodesic Flows and First Kind Flute Surfaces
Erick Gordillo Herrerías, Nolwenn Le Quellec
We study flute surfaces and extend results of Pandazis and Šarić giving necessary and sufficient conditions on the Fenchel-Nielsen coordinates of the surface to be of the first kin…
math.GT2024
Orthospectrum and simple orthospectrum rigidity: finiteness and genericity
Nolwenn Le Quellec
We study the orthospectrum and the simple orthospectrum of compact hyperbolic surfaces with geodesic boundary. We show that there are finitely many hyperbolic surfaces sharing the…