On-device research index

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.

168,657 papers · 148 categories

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3 results for “log-quasimodes”

Curvature and sharp growth rates of log-quasimodes on compact manifoldsmath.AP

Optimal estimates for spectral projection norms on compact manifolds.

problem Estimating norms of spectral projection operators on compact manifolds.

method Analyzing spectral windows with logarithmic growth and applying curvature constraints.

result Optimal estimates for

L^2(M) o L^q(M)

norms are derived, saturating on flat or negatively curved manifolds.

spectral theory compact manifolds log-quasimodes curvature constraints sharp growth rates

2024-04-21abs ↗pdf ↗

Curvature and harmonic analysis on compact manifoldsmath.AP

Estimates for eigenfunctions and quasimodes on compact manifolds.

problem Characterizing eigenfunctions and quasimodes on compact manifolds.

method Sharp

L^q

-estimates for log-quasimodes, focusing on small Lebesgue exponents.

result No characterization possible for

q > q_c

eigenfunctions quasimodes compact manifolds curvature harmonic analysis

2024-04-21abs ↗pdf ↗

Quasimode concentration on compact space formsmath.AP

Sharp bounds on quasimode norms on compact space forms.

problem Characterize compact manifolds using quasimode decay rates.

method Analyzes upper and lower bounds of quasimode norms on compact space forms.

result Characterizes compact manifolds of constant curvature using quasimode decay rates.

quasimodes compact space forms decay rates compact manifolds constant curvature

2024-04-21abs ↗pdf ↗