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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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3 results for Gibbons-Hawking-York

Paper proves convergence of MDL to Einstein-Hilbert with boundary term.

problem Proving convergence of discrete MDL to continuous Einstein-Hilbert action.
method Proves \(Γ\)-convergence using diffeomorphism-natural discrete MDL-type functional.
result Identifies Carathéodory densities and obtains \(\liminf/\limsup\) bounds.

Following work of Ecker, we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-with-boundary. We compute its variational properties and its time derivative under Perelman's modified Ricci flow. The answer has a boundary term which involves an extension of Hamilton's Harnack expression for the …

2011-05-30abs ↗pdf ↗

The paper studies mean curvature flow in a Ricci flow background with extended Ricci flow.

problem Analyzing mean curvature flow in a Ricci flow background.
method Computing variational properties and deriving evolution equations for mean curvature and second fundamental form.
result Established a Huisken's monotonicity-type formula for mean curvature solitons in an extended Ricci flow.