«RECTIFIABILITY»に関連する英語の本
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1
Geometry of Sets and Measures in Euclidean Spaces: Fractals ...
This book studies the geometric properties of general sets and measures in euclidean space.
2
Analytic Capacity,
Rectifiability, Menger Curvature and ...
Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of ...
3
Analysis of and on Uniformly Rectifiable Sets
This book is about understanding uniform rectifiability of a given set in terms of the approximate behavior of the set at most locations and scales.
Guy David, Stephen Semmes,
1993
4
Metric Structures for Riemannian and Non-Riemannian Spaces
Uniform rectifiability does not do such a good job of capturing information that is
more topological in nature. Perhaps it could be combined with topological
information in a more productive way. One can view [Dav—Sem],45Q, [Sem] 13,-
f f, ...
Jacques LaFontaine, M. Katz, Mikhail Gromov,
2007
5
A Multiscale, Geometric Algorithm for Non-parametric Data ...
We first review the notions of rectifiability and quantitative rectifiability and then
explain our work in terms of these notions. Rectifiability expresses in a general (
weak) sense “manifold-like” structures of measures. A measure μ on Rn is called
d- ...
6
Curves and Fractal Dimension
5. Polygonal. Curves. and. Length. 5.1. Rectifiability. Is it justified to approximate
the length of a curve F by the length of a polygonal approximation of F? Yes, as
long as each point of F is situated on a small arc that cannot be distinguished
from ...
7
Semiconcave Functions, Hamilton-Jacobi Equations, and ...
6.6 Rectifiability of £ We continue in this section the analysis of the regularity of
the value function u of problem (CV)t,x- We have seen that u is semiconcave with
linear modulus (see Theorem 6.4.1); therefore, its gradient Du belongs to the ...
Piermarco Cannarsa, Carlo Sinestrari,
2004
8
Handbook of the Geometry of Banach Spaces
Rectifiability and density Much of the development of classical geometric
measure theory was driven by attempts to show, under various geometric
assumptions on a subset A of R of finite k -dimensional measure, that A is &-
rectifiable, i.e., that ...
William B. Johnson, Joram Lindenstrauss,
2003
9
Theorems on Regularity and Singularity of Energy Minimizing ...
Then for small enough e = e(n,N,/3) we again conclude as we did in Section 4.7
that the hypotheses of the rectifiability lemma of Section 4.2 hold, and hence that
S+ (~l Ba(w0) is (n — 3)- rcctifiable for small enough a = a(w0,u) > 0 and for any ...
Leon Simon, Norbert Hungerbühler,
1996
We show in our first part that this assumption insures rectifiability and continuity of
7' in its dependence on the point of the diameter. In our second part we prove that
7' is analytic. The basic idea of this proof is similar to the one [3] by which we ...
Hans Lewy, David Kinderlehrer,
2001