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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.

169,291 papers · 148 categories

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5 results for “non-fattening”

Non-fattening of mean curvature flow at singularities of mean convex typemath.DG

Flow doesn't get wider near singularities if they're convex.

problem Preventing the fattening of surfaces during flow.

method Analyzing mean curvature flow with mean convex singularities.

result The level set flow of a mean convex initial surface doesn't get wider near singularities.

mean curvature flow singularities non-fattening mean convex level set flow

2017-04-03abs ↗pdf ↗

On mean curvature flow with driving force starting as singular initial hypersurfacemath.DG

Study on evolving singular hypersurfaces using mean curvature flow with driving force.

problem Evolving singular initial hypersurfaces under mean curvature flow with driving force.

method Level set method to analyze fattening or non-fattening interface evolution.

result Criteria to judge the evolution of singular initial hypersurfaces.

mean curvature flow singular initial hypersurface driving force level set method fattening

2017-12-27abs ↗pdf ↗

The level set flow of a hypersurface in

\mathbb R^4

of low entropy does not disconnectmath.DG

A flow of a low entropy hypersurface in 4D does not split.

problem Preventing splitting of hypersurfaces in 4D with low entropy.

method Level set flow analysis for hypersurfaces in

\mathbb R^4

with entropy

λ(Σ) \leq λ(\mathbb{S}^2 imes \mathbb R)

result The level set flow of a hypersurface in

\mathbb R^4

of low entropy never disconnects.

level set flow hypersurface entropy low entropy 4D

2018-01-16abs ↗pdf ↗

Mean Curvature Flow of Arbitrary Co-Dimensional Reifenberg Setsmath.DG

We study the existence and uniqueness of smooth mean curvature flow, in arbitrary dimension and co-dimension, emanating from so called $k$ -dimensional $(\varepsilon,R)$ Reifenberg flat sets in $\mathbb{R}^n$ . Our results generalize the ones from a previous paper by the author, in which the co-dimension one case (i.e. $…

2015-08-13abs ↗pdf ↗

Mean Curvature Flow Of Reifenberg Setsmath.DG

In this paper, we prove short time existence and uniqueness of smooth evolution by mean curvature in $\mathbb{R}^{n+1}$ starting from any $n$ -dimensional $(\varepsilon,R)$ -Reifenberg flat set with $\varepsilon$ sufficiently small. More precisely, we show that the level set flow in such a situation is non-fattening and …

2014-12-15abs ↗pdf ↗