Results 81 to 90 of about 9,371 (281)
Potential theory of signed Riesz Kernels: capacity and Hausdorff measure [PDF]
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]
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]
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]
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
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]
: 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
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 $c_0(\mathcal{M})$
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
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
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

