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Random hyperbolic surfaces of large genus have first eigenvalues greater than $$\frac{3}{16}-\epsilon $$

Yunhui Wu, Yuhao Xue

2022Geometric and Functional Analysis27 citationsDOIOpen Access PDF

Topics & Concepts

GenusMathematicsModuli spaceEigenvalues and eigenvectorsCombinatoricsSurface (topology)InfinitySpace (punctuation)LambdaMathematical analysisPure mathematicsGeometryPhysicsQuantum mechanicsBiologyPhilosophyLinguisticsBotanyAlgebraic Geometry and Number TheoryAnalytic Number Theory ResearchGeometric and Algebraic Topology
Random hyperbolic surfaces of large genus have first eigenvalues greater than $\frac{3}{16}-\epsilon $ | Litcius