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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.

169,291 papers · 148 categories

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2 results for “Eigen-solutions”

Growth of the eigensolutions of Laplacians on Riemannian manifolds II: positivity of the initial energymath.DG

Paper proves positivity of energy function on Riemannian manifolds.

problem Investigating positivity of energy function on Riemannian manifolds.

method Using energy function to prove positivity of initial energy.

result Simple method to obtain growth of eigen-solutions.

Riemannian manifolds eigen-solutions positivity energy function Laplacians

2017-09-09abs ↗pdf ↗

Growth of the eigensolutions of Laplacians on Riemannian manifolds I: construction of energy functionmath.DG

The paper studies eigen-solutions on Riemannian manifolds and their growth as distance increases.

problem Analyzing the growth of eigen-solutions on Riemannian manifolds.

method Developed Kato's methods on manifolds to study the asymptotic behaviors of eigen-solutions.

result Established the growth of eigen-solutions as distance increases.

Eigen-solutions Riemannian manifolds Laplacian Kato's methods Distance function

2017-09-09abs ↗pdf ↗