The sets of eigenvalues of weighted graph Laplacians are fully described for every valid four-vertex graph coming from a pair-of-pants decomposition of a genus-3 surface.
Counting curves, and the stable length of currents
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
years
2026 4verdicts
UNVERDICTED 4representative citing papers
Generalizes integration formulas for geometric random variables on moduli space of hyperbolic surfaces to arbitrary closed loops and improves asymptotic for Weil-Petersson expectation of geodesic counts in an orbit.
Eigenfunctions of Schrödinger operators on BS-converging hyperbolic surfaces exhibit quantum mixing in sufficiently large spectral windows.
Typical hyperbolic surfaces under the Weil-Petersson measure have spectral gap at least 2/9 - ε.
citing papers explorer
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Flexibility of eigenvalues for graph Laplacians arising from genus 3 surfaces
The sets of eigenvalues of weighted graph Laplacians are fully described for every valid four-vertex graph coming from a pair-of-pants decomposition of a genus-3 surface.
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Integrals of general geometric random variables on the moduli space of hyperbolic surfaces
Generalizes integration formulas for geometric random variables on moduli space of hyperbolic surfaces to arbitrary closed loops and improves asymptotic for Weil-Petersson expectation of geodesic counts in an orbit.
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Quantum Mixing for Schr\"odinger eigenfunctions in Benjamini-Schramm limit
Eigenfunctions of Schrödinger operators on BS-converging hyperbolic surfaces exhibit quantum mixing in sufficiently large spectral windows.
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Typical hyperbolic surfaces have a spectral gap greater than $2/9 - \epsilon$
Typical hyperbolic surfaces under the Weil-Petersson measure have spectral gap at least 2/9 - ε.