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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.

169,341 papers · 148 categories

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3 results for “closability”

Densely defined non-closable curl on carpet-like metric measure spacesmath.FA

The paper shows that a curl operator is not closable on carpet-like metric measure spaces.

problem The behavior of the curl operator on metric measure spaces, especially on carpet-like structures.

method Analyzing the exterior derivative and curl operators on

1

-forms and

2

-forms on metric measure spaces, particularly on Sierpinski carpets.

result The curl operator is not closable on Sierpinski carpets and similar metric measure spaces.

curl operator metric measure spaces Sierpinski carpets exterior derivative closability

2015-05-11abs ↗pdf ↗

Kernel Dynamic Mode Decomposition For Sparse Reconstruction of Closable Koopman Operatorsmath.DS

Kernel Dynamic Mode Decomposition reconstructs dynamical systems using Laplacian kernel.

problem Reconstructing spatial-temporal dynamics of complex systems.

method Kernel Dynamic Mode Decomposition with Laplacian kernel.

result Laplacian kernel allows for the closability of Koopman operators in RKHS, enabling reconstruction.

Koopman operators Dynamic Mode Decomposition Reproducing Kernel Hilbert Space Laplacian kernel Closability

2025-05-11abs ↗pdf ↗

Listening to the shape of a drummath.DG

Research connects geometry and sound frequencies of shapes.

problem Linking geometric shapes to their sound frequencies.

method Analyzes algebra of multipliers and spectral properties of Dirichlet integral.

result Proves homeomorphisms preserving fundamental tones in Euclidean domains.

geometry spectral theory Dirichlet forms quasiconformal fundamental tones

2019-09-05abs ↗pdf ↗