Results 11 to 20 of about 69,299 (185)
On the Hausdorff measure of regular ω-languages in Cantor space [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Automata, Logic and ...
Ludwig Staiger
doaj +1 more source
On the vectorial multifractal analysis in a metric space
AIMS Mathematics, 2023 Multifractal analysis is typically used to describe objects possessing some type of scale invariance. During the last few decades, multifractal analysis has shown results of outstanding significance in theory and applications. In particular, it is widely
Najmeddine Attia, Amal Mahjoub
doaj +1 more source
On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets
Mathematics, 2023 In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
doaj +1 more source
The Hausdorff chirality measure and a proposed Hausdorff structure measure [PDF]
Molecular Physics, 2009 The Hausdorff chirality measure quantifies the chirality of a geometric representation of an object by measuring the degree of coincidence of the object with its mirror image. It can also allow comparison between a chiral dopant and host molecules which may illuminate mechanisms for chirality transfer.
Maureen P. Neal +2 more
openaire +2 more sources
A note on Gromov-Hausdorff-Prokhorov distance between (locally) compact measure spaces [PDF]
, 2012 We present an extension of the Gromov-Hausdorff metric on the set of compact metric spaces: the Gromov-Hausdorff-Prokhorov metric on the set of compact metric spaces endowed with a finite measure. We then extend it to the non-compact case by describing a
Abraham, Romain +2 more
core +5 more sources
Vector lattices with a Hausdorff uo-Lebesgue topology
, 2021 We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of the topologies thus obtained are.
de Jeu, Marcel, Deng, Yang
core +1 more source
Hausdorff Measurable Multifunctions
Journal of Mathematical Analysis and Applications, 1998 Several notions of measurability for multifunctions are introduced and their relations are explained. The main results concern multifunctions \(F\) defined on the product of two separable complete metric spaces, \(T\) and \(X\). The space \(T\) is endowed with the \(\sigma\)-algebra of measurable sets of a Borel measure \(\mu\) and \(X\) with the ...
PIANIGIANI, GIULIO, F. DE BALSI
openaire +4 more sources
Hausdorff and packing dimension of fibers and graphs of prevalent continuous maps [PDF]
, 2015 The notions of shyness and prevalence generalize the property of being zero and full Haar measure to arbitrary (not necessarily locally compact) Polish groups.
Balka, Richárd +2 more
core +2 more sources
Something About h - Measures of Sets in Plane
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this article we estimate the Hausdorff h-measures of the graphs of some functions, for different measure functions.
Bărbulescu Alina
doaj +1 more source
Hausdorff measure functions [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 1973 In many contributions to the theory of Hausdorff measures, it has been the practice to place certain restrictions on the measure functions used. These restrictions usually ensure both the monotonicity and the continuity of the functions. The purpose of this work is to find conditions under which the restrictions of monotonicity and continuity may be ...
openaire +4 more sources