From the 2 of 4 linked papers with an AI index.
4 papers
Isospectrality and isometry groups for infinite-type hyperbolic surfaces with discrete length spectrum
Federica Fanoni, David Fisac
The paper studies infinite‑type hyperbolic surfaces with a discrete length spectrum, showing that Sunada’s method yields only finite isospectral families but that arbitrarily large…
Single self-intersection words on the once-punctured torus and their counting
David Fisac, Mingkun Liu
The paper classifies closed curves on a once‑punctured torus that have exactly one self‑intersection using combinatorial methods, and then counts how many such curves exist for eac…
Markov's Conjecture on integral necklaces
David Fisac
We use the geometric reformulation of Markov's uniqueness conjecture in terms of the simple length spectrum on the modular torus to rewrite the conjecture in combinatorial terms by…
A Basmajian-type inequality for Riemannian surfaces
Florent Balacheff, David Fisac
We explore for compact Riemannian surfaces whose boundary consists of a single closed geodesic the relationship between orthospectrum and boundary length. More precisely, we establ…