Results 21 to 30 of about 70 (65)

A Systematic Study of Multifractal Measures and Dimensions for Image Measures on Moran Sets

Abstract and Applied Analysis
MSC2020 Classification: 28A20, 28A75, 28A78, 28A80 ...
Lixin Guo, Haythem Zyoudi
doaj   +1 more source

Qualitative Lipschitz to bi-Lipschitz decomposition

Analysis and Geometry in Metric Spaces
We prove that any Lipschitz map that satisfies a condition inspired by the work of G. David may be decomposed into countably many bi-Lipschitz pieces.
Bate David
doaj   +1 more source

A Generalization of the Real Mean Value Inequality

, 2005
In dieser Arbeit wird eine Mittelwertungleichung für banachraumwertige Funktionen auf einem kompakten Intervall vorgestellt. Im Spezialfall reellwertiger Funktionen wurde diese Mittelwertungleichung bereits von Dale E.
Rosenberger, B. (Burkard)
core   +1 more source

A note on the diameter of small sub-Riemannian balls

Analysis and Geometry in Metric Spaces
We observe that the diameter of small (in a locally uniform sense) balls in C 1,1 sub-Riemannian manifolds equals twice the radius. We also prove that, when the regularity of the structure is further lowered to C 0, the diameter is arbitrarily close to ...
Di Marco Marco, Somma Gianluca, Vittone Davide   +2 more
doaj   +1 more source

Konstruktion eines äußeren Längenmaßes auf Banachräumen

, 2005
Zur Längenmessung in R bedient man sich des äußeren Lebesgue-Maßes. Möchte man dieses Konzept der Längenmessung auf einen beliebigen Banachraum übertragen, so ergeben sich begriffliche Schwierigkeiten, denn intuitiv ist zunächst unklar, was man unter der
Rosenberger, B. (Burkard)
core   +1 more source

Uniform convergence of adversarially robust classifiers

European Journal of Applied Mathematics
In recent years, there has been significant interest in the effect of different types of adversarial perturbations in data classification problems. Many of these models incorporate the adversarial power, which is an important parameter with an associated
Rachel Morris, Ryan Murray
doaj   +1 more source

C1,α-rectifiability in low codimension in Heisenberg groups

Analysis and Geometry in Metric Spaces
A natural higher-order notion of C1,α{C}^{1,\alpha }-rectifiability ...
Idu Kennedy Obinna, Maiale Francesco Paolo   +1 more
doaj   +1 more source

Isoperimetric problems and lower bounds on curvature

Analysis and Geometry in Metric Spaces
This note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at the European Doctorate School of Differential Geometry (Granada, July ...
Antonelli Gioacchino
doaj   +1 more source

Topological minimal sets and their applications

, 2011
In this article we introduce a definition of topological minimal sets, which is a generalization of that of Mumford-Shah-minimal sets. We prove some general properties as well as two existence theorems for topological minimal sets.
Xiangyu Liang
core  

Surface measure on, and the local geometry of, sub-Riemannian manifolds. [PDF]

Calc Var Partial Differ Equ, 2023
Don S, Magnani V.
europepmc   +1 more source