Results 1 to 10 of about 3,079 (209)

David maps and Hausdorff Dimension

, 2002
15 Pages, 5 ...
openaire   +4 more sources

Hausdorff dimension and quasisymmetric mappings.

MATHEMATICA SCANDINAVICA, 1989
An increasing embedding f of an interval of the real line is quasisymmetric if there is \(q\geq 1\) such that \(1/q\leq (f(x+t)- f(x))/(f(x)-f(x-t))\leq q\) for all distinct x, \(x+t\), x-t. The paper gives an example of a quasisymmetric map f of the unit interval I with the property that there is a measurable subset Y of I such that the Hausdorff ...
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Complex continued fractions with restricted entries

Electronic Journal of Differential Equations, 1998
We study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by $h$. Our primary goal is to
Pawel Hanus, Mariusz Urbanski
doaj  

Hausdorff Dimension of Caloric Measure

American Journal of Mathematics
abstract: We examine caloric measures $\omega$ on general domains in $\RR^{n+1}=\RR^n\times\RR$ (space $\times$ time) from the perspective of geometric measure theory. On one hand, we give a direct proof of a consequence of a theorem of Taylor and Watson (1985) that the lower parabolic Hausdorff dimension of $\omega$ is at least $n$ and $\omega\ll ...
Badger, Matthew, Genschaw, Alyssa
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Hausdorff Outer Measures and the Representation of Coherent Upper Conditional Previsions by the Countably Additive Möbius Transform

Fractal and Fractional
This paper explores coherent upper conditional previsions, a class of nonlinear functionals that generalize expectations while preserving consistency properties.
Serena Doria
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Transformations preserving the Hausdorff-Besicovitch dimension

Open Mathematics, 2008
Albeverio Sergio, Pratsiovytyi Mykola, Torbin Grygoriy   +2 more
doaj   +1 more source

Study of Localized Corrosion Susceptibility of Ni-Based Superalloys Employing Electrochemical Noise Technique. [PDF]

Materials (Basel)
Almeraya-Calderon F, Huerta-Zavala MS, Maldonado-Bandala E, Nieves-Mendoza D, Jaquez-Muñoz JM, Baltazar-Zamora MA, Landa-Ruiz L, Estupinan-Lopez F, Olguin-Coca J, Flores-De Los Rios JP, Gaona-Tiburcio C.   +10 more
europepmc   +1 more source

On manifolds with almost non-negative Ricci curvature and integrally-positive k th -scalar curvature. [PDF]

Math Ann
Cucinotta A, Mondino A.
europepmc   +1 more source

Enhanced Magnetic Resonance Imaging-Based Knee Cartilage Segmentation Using a Swin-UNet Conditional Generative Adversarial Network: Development and Validation Study. [PDF]

JMIR Med Inform
Park JY, Nam JH, Abdigapporov S, Kim JK, Koh YG, Cho BW, Kwon HM, Park KK, Kang KT.   +8 more
europepmc   +1 more source

Using wavelet decomposition to determine the dimension of structures from projected images. [PDF]

Proc Natl Acad Sci U S A
Mayboroda S, Spergel DN.
europepmc   +1 more source