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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.

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0111 · Sep 200919922001200920172026
5 results for tilt-excess

Paper provides estimates for varifolds with critical mean curvature.

problem Estimating tilt-excess on varifolds with critical mean curvature.
method Generalizing Lipschitz approximation and Sobolev-Poincaré estimates to almost-integral rectifiable varifolds.
result VMO-type estimates for quadratic tilt-excess on varifolds with critical mean curvature.

This paper concerns integral varifolds of arbitrary dimension in an open subset of Euclidean space with its first variation given by either a Radon measure or a function in some Lebesgue space. Pointwise decay results for the quadratic tilt-excess are established for those varifolds. The results are optimal in terms of…

2009-09-17abs ↗pdf ↗

Alternative proof and extension of curvature estimates for minimal immersions.

problem Curvature estimates and Bernstein-type theorems for minimal immersions.
method Iteration method à la De Giorgi, ε-regularity theorem, Caccioppoli inequalities.
result Extension of Schoen--Simon--Yau and Schoen--Simon theorems to 6-dimensional stable minimal immersions.