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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.

169,051 papers · 148 categories

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3 results for “Almgren-Taylor-Wang”

De Giorgi varifold solutions to Mean Curvature Flow: a minimizing movements approachmath.AP

Alternative proof of weak solutions to mean curvature flow using minimizing movements.

problem Existence of weak solutions to mean curvature flow and volume preserving mean curvature flow.

method Proposes a new existence proof using a minimizing movements scheme and a novel proxy for distance.

result Unconditional convergence towards a De Giorgi solution for the minimizing movements scheme.

mean curvature flow minimizing movements De Giorgi solutions weak solutions volume preserving

2026-07-04abs ↗pdf ↗

Motion of discrete interfaces on the triangular latticemath.AP

Study motion of discrete interfaces on triangular lattice using Almgren, Taylor, and Wang's approach.

problem Motion of discrete interfaces on triangular lattice driven by ferromagnetic interactions.

method Coupling Almgren, Taylor, and Wang's minimizing movements approach with Braides, Gelli, and Novaga's discrete-to-continuum analysis.

result Limit motion of origin-symmetric convex hexagons compared to crystalline curvature evolution.

discrete interfaces triangular lattice ferromagnetic interactions Almgren-Taylor-Wang Braides-Gelli-Novaga

2018-06-30abs ↗pdf ↗

Minimizing movements for the generalized power mean curvature flowmath.AP

New method for evolving surfaces using generalized power mean curvature flow.

problem Evolve surfaces with volume penalization replaced by a generalized term.

method Generalized minimizing movement scheme converging to geometric evolution equation.

result Minimizing movements coincide with smooth classical solutions and preserve mean convexity.

mean curvature flow minimizing movements generalized power mean De Giorgi conjecture anisotropic setting

2024-03-29abs ↗pdf ↗