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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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4 results for “pseudo-Laplacian”

Small eigenvalues of pseudo-Laplaciansmath.DG

Extended bounds on small eigenvalues for pseudo-Laplacians on hyperbolic surfaces.

problem Bounding small eigenvalues of pseudo-Laplacians on hyperbolic surfaces.

method Extended Otal-Rosas bound and Colin de Verdière's spectral theory to hyperbolic surfaces with multiple cusps.

result Extended bounds on small eigenvalues for pseudo-Laplacians.

eigenvalues pseudo-Laplacians hyperbolic surfaces spectral theory

2025-12-22abs ↗pdf ↗

Pseudo-Laplacian on a cuspidal end with a flat unitary line bundle: Dirichlet boundary conditionsmath.DG

The paper studies the zeta-regularized determinant of a pseudo-Laplacian on a cuspidal end with flat unitary line bundle.

problem Analyzing the asymptotic behavior of the zeta-regularized determinant of a pseudo-Laplacian.

method Investigates the asymptotic behavior of the zeta-regularized determinant of a pseudo-Laplacian

Δ_{L,0} + μ

μ

and

a

vary.

result Determines the asymptotic behavior of the zeta-regularized determinant for various values of

μ

and

a

zeta-regularized determinant pseudo-Laplacian cuspidal end flat unitary line bundle Dirichlet boundary conditions

2021-06-09abs ↗pdf ↗

Pseudo-Laplacian on a cuspidal end with a flat unitary line bundle: Alvarez--Wentworth boundary conditionsmath.DG

The paper studies the zeta-regularized determinant of a pseudo-Laplacian on a cuspidal end with specific boundary conditions.

problem Analyzing the asymptotic behavior of a zeta-regularized determinant on a cuspidal end.

method Specifying and analyzing the behavior of the pseudo-Laplacian with Alvarez--Wentworth boundary conditions.

result Finding the asymptotic behavior of the zeta-regularized determinant for various parameter values.

zeta-regularized determinant pseudo-Laplacian cuspidal end Alvarez--Wentworth boundary conditions asymptotic behavior

2022-11-08abs ↗pdf ↗

Determinants of pseudo-laplacians and

ζ^{({\rm reg})}(1)

for spinor bundles over Riemann surfacesmath.SP

Study pseudo-laplacians and ζ(1) for spinor bundles over Riemann surfaces.

problem Analyzing self-adjoint extensions of Dolbeault Laplacians on Riemann surfaces.

method Defined

ζ

-regularized determinants, introduced Robin mass, derived comparison formulas.

result Explicit expressions for Robin mass in spinor bundles and scalar cases.

Riemann surfaces Dolbeault Laplacians ζ-regularized determinants Robin mass spinor bundles

2024-03-19abs ↗pdf ↗