Results 141 to 150 of about 2,719 (189)

MRI parcellation of ex vivo medial temporal lobe. [PDF]

open access: yesNeuroimage, 2014
Augustinack JC   +5 more
europepmc   +1 more source

Conserved structural chemistry for incision activity in structurally non-homologous apurinic/apyrimidinic endonuclease APE1 and endonuclease IV DNA repair enzymes. [PDF]

open access: yesJ Biol Chem, 2013
Tsutakawa SE   +15 more
europepmc   +1 more source

Hausdorff and packing measure for solenoids

Ergodic Theory and Dynamical Systems, 2003
Summary: We prove that the solenoid with two different contraction coefficients has zero Hausdorff and positive packing measure in its own dimension and the SBR measure is equivalent to the packing measure on the attractor. Further, we prove similar statements for Slanting Baker maps with intersecting cylinders (in \(\mathbb{R}^{2}\)).
Károly Simon, Michał Rams
openaire   +3 more sources

Hausdorff and packing dimensions and sections of measures

Mathematika, 1998
Summary: Let \(m\) and \(n\) be integers with \(0< m< n\) and let \(\mu\) be a Radon measure on \(\mathbb{R}^n\) with compact support. For the Hausdorff dimension, \(\dim_H\), of sections of measures we have the following equality: for almost all \((n- m)\)-dimensional linear subspaces \(V\) \[ \text{ess inf}\{\dim_H \mu_{V,a}: a\in V^{\perp}\text ...
Maarit Järvenpää, Pertti Mattila
openaire   +2 more sources

Scaling properties of Hausdorff and packing measures

Mathematische Annalen, 2001
Let \(\theta \) be a continuous increasing function defined on the nonnegative number line with some restriction. Among other results, the authors characterize those function \(\theta \) such that the corresponding Hausdorff or packing measure with gauge function \(\theta \) scales with exponent \(\alpha \) by showing it must be a product of a power ...
Marianna Csörnyei, R. D. Mauldin
openaire   +3 more sources

Comparing Packing Measures to Hausdorff Measures on the Line [PDF]

open access: possibleMathematische Nachrichten, 2002
In this paper the author compare packing measures to Hausdorff measures on the line. The main result of this paper is as follows.
openaire   +2 more sources

Hausdorff and packing dimensions of Mandelbrot measure

International Journal of Mathematics, 2020
We develop, in the context of the boundary of a supercritical Galton–Watson tree, a uniform version of large deviation estimate on homogeneous trees to estimate almost surely and simultaneously the Hausdorff and packing dimensions of the Mandelbrot measure over a suitable set [Formula: see text].
openaire   +2 more sources

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