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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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2 results for “4-bracket”
An inclusive curvature-like framework for describing dissipation: metriplectic 4-bracket dynamicsmath-ph

A new framework describes dissipation using a metriplectic 4-bracket.

problem Describing dissipation in a way that preserves energy and entropy.
method Using a metriplectic 4-bracket, a quantity like the Poisson bracket with symmetries motivated by Riemannian curvature.
result The metriplectic 4-bracket dynamics includes all known previous binary bracket theories for dissipation.
dissipationmetriplectic4-bracketcurvatureHamiltonian
2023-06-11abs ↗pdf ↗
Trivializable and quaternionic subriemannian structure on S7\mathbb{S}^7 and subelliptic heat kernelmath.DG

Study compares two subriemannian structures on S7, finding non-isometric and non-isospectral properties.

problem Comparing geometric and analytical properties of two subriemannian structures on S7.
method Analyzes the trivializable and quaternionic subriemannian structures, determining measures, sublaplacians, and isometry properties.
result Both subriemannian structures are not locally isometric and non-isospectral.
S7subriemannian structuresClifford modulequaternionic Hopf fibrationsublaplacian
2021-02-09abs ↗pdf ↗