An explicit frequency expression for non-simple curves is derived, with large-genus asymptotics showing which fixed-K intersection types are most common.
Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps.arXiv:2304.02678
4 Pith papers cite this work. Polarity classification is still indexing.
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UNVERDICTED 4representative citing papers
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.
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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Large genus asymptotics for frequency of non-simple curves
An explicit frequency expression for non-simple curves is derived, with large-genus asymptotics showing which fixed-K intersection types are most common.
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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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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.