Sharp geometric estimates of the distance to VMOA

1992 ◽  
pp. 421-432 ◽  
Author(s):  
David A. Stegenga ◽  
Kenneth Stephenson
Keyword(s):  
Geometric Estimates

GEOMETRIC ESTIMATES OF HERITABILITY IN BIOLOGICAL SHAPE

Evolution ◽  
2002 ◽  
Vol 56 (3) ◽  
pp. 563 ◽  
Author(s):  
Leandro R. Monteiro ◽  
José Alexandre F. Diniz-Filho ◽  
Sérgio F. dos Reis ◽  
Edilson D. Araújo
Keyword(s):  
Biological Shape ◽  
Geometric Estimates

scholarly journals Geometric estimates for complex Monge–Ampère equations

2020 ◽  
Vol 2020 (765) ◽  
pp. 69-99 ◽  
Author(s):  
Xin Fu ◽  
Bin Guo ◽  
Jian Song
Keyword(s):  
Einstein Metrics ◽  
Kähler Manifolds ◽  
Singular Solutions ◽  
Kahler Manifolds ◽  
Diameter Estimate ◽  
Uniform Diameter ◽  
Kähler Einstein Metrics ◽  
Geometric Regularity ◽  
Monge Ampere ◽  
Geometric Estimates

AbstractWe prove uniform gradient and diameter estimates for a family of geometric complex Monge–Ampère equations. Such estimates can be applied to study geometric regularity of singular solutions of complex Monge–Ampère equations. We also prove a uniform diameter estimate for collapsing families of twisted Kähler–Einstein metrics on Kähler manifolds of nonnegative Kodaira dimensions.

scholarly journals Regularity and geometric estimates for minima of discontinuous functionals

2015 ◽  
Vol 31 (1) ◽  
pp. 69-108 ◽  
Author(s):  
Eduardo Teixeira ◽  
Raimundo Leitão
Keyword(s):  
Geometric Estimates

GEOMETRIC ESTIMATES OF HERITABILITY IN BIOLOGICAL SHAPE

Evolution ◽  
2002 ◽  
Vol 56 (3) ◽  
pp. 563-572 ◽  
Author(s):  
LEANDRO R. MONTEIRO ◽  
JOSÉ ALEXANDRE F. DINIZ-FILHO ◽  
SÉRGIO F. REIS ◽  
EDILSON D. ARAÚJO
Keyword(s):  
Biological Shape ◽  
Geometric Estimates

scholarly journals Random inscribed polytopes in projective geometries

2021 ◽  
Author(s):  
Florian Besau ◽  
Daniel Rosen ◽  
Christoph Thäle
Keyword(s):  
Central Limit ◽  
Limit Theorems ◽  
Normal Approximation ◽  
Independent Random Variables ◽  
Polyhedral Sets ◽  
Continuous Density ◽  
Projective Geometries ◽  
Mean Width ◽  
The Mean ◽  
Geometric Estimates

AbstractWe establish central limit theorems for natural volumes of random inscribed polytopes in projective Riemannian or Finsler geometries. In addition, normal approximation of dual volumes and the mean width of random polyhedral sets are obtained. We deduce these results by proving a general central limit theorem for the weighted volume of the convex hull of random points chosen from the boundary of a smooth convex body according to a positive and continuous density in Euclidean space. In the background are geometric estimates for weighted surface bodies and a Berry–Esseen bound for functionals of independent random variables.

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