Results 81 to 90 of about 9,371 (281)

Potential theory of signed Riesz Kernels: capacity and Hausdorff measure [PDF]

open access: yes, 2004
In this paper, we study the natural capacity γα related to the Riesz kernels x/∣x∣1 + α in ℝn, where 0 < α < n. For noninteger α, an unexpected behaviour arises: for 0 < α < 1, compact sets in ℝn with finite α-Hausdorff measure have zero γα capacity.
Prat, Laura
core   +1 more source

Hausdorff Measure of Critical Values [PDF]

open access: yes
openLa tesi tratta il paper di A. Sard del 1965, "Hausdorff Measure of Critical Images on Banach Manifolds". Il paper tratta un raffinamento del teorema di Morse-Sard, e mostra che, presa una funzione C^k tra una varietà e una varietà di Banach, se k è
EUGENELO, TIZIANA
core  

The Hausdorff Measure of Regular ω-languages is Computable [PDF]

open access: yes, 1998
We show that there is an algorithm which computes Hausdorff dimension and Hausdorff measure of arbitrary regular ω-languages. Our algorithm is a generalization of the one given in [MS94] which was designed to compute Hausdorff dimension and Hausdorff ...
Ludwig Staiger
core  

On the computability of fractal dimensions and Hausdorff measure [PDF]

open access: yes, 1998
It is shown that there exist subsets A and B of the real line which are recursively constructible such that A has a nonrecursive Hausdorff dimension and B has a recursive Hausdorff dimension (between 0 and 1) but has a finite, nonrecursive Hausdorff ...
Ko, Ker-I.
core   +1 more source

One‐Class Autoencoders for Porcelain Art Attribution: The Case of William Billingsley

open access: yesArchaeometry, EarlyView.
ABSTRACT This comprehensive study explores the application of advanced machine learning techniques, specifically one‐class autoencoders, for the authentication and attribution of English porcelain artworks. Focusing primarily on the works of William Billingsley (1758–1828), one of England's most celebrated porcelain decorators, we demonstrate how ...
Hassan Ugail   +3 more
wiley   +1 more source

On the Computation of the Hausdorff Dimension of the Walrasian Economy:Further Notes [PDF]

open access: yes
: In a recent paper, Dominique (2009) argues that for a Walrasian economy with m consumers and n goods, the equilibrium set of prices becomes a fractal attractor due to continuous destructions and creations of excess demands.
Dominique, C-Rene
core   +1 more source

Calculation of Hausdorff dimensions of basins of ergodic measures in encoding spaces

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2018
In the article we consider spaces XN of sequences of elements of finite alphabet X (encoding spaces) and ergodic measures on them, basins of ergodic measures and Hausdorff dimensions of such basins with respect to ultrametrics defined by a product of ...
Pavel N. Varabei
doaj  

Compact operators on the Motzkin sequence space $c_0(\mathcal{M})$

open access: yesJournal of New Results in Science
The concept of non-compactness measure is extremely beneficial for functional analysis in theories, such as fixed point and operator equations. Apart from these, the Hausdorff measure of non-compactness also has some applications in the theory of ...
Sezer Erdem
doaj   +1 more source

SDFs from Unoriented Point Clouds using Neural Variational Heat Distances

open access: yesComputer Graphics Forum, EarlyView.
We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier   +5 more
wiley   +1 more source

Measure characterizations and properties of normal and regular lattices

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
Various equivalent characterizations of normality are considered and a measure theoretic definition is given for strongly normal lattices. Measure conditions related to the apace of σ-smooth, lattice-regular, 0−1 measures are noted which imply, or are ...
Peter M. Grassi
doaj   +1 more source

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