Results 31 to 40 of about 69,690 (223)

Fourier transforms of Gibbs measures for the Gauss map [PDF]

, 2015
We investigate under which conditions a given invariant measure $\mu$ for the dynamical system defined by the Gauss map $x \mapsto 1/x \mod 1$ is a Rajchman measure with polynomially decaying Fourier transform $$|\widehat{\mu}(\xi)| = O(|\xi|^{-\eta ...
Jordan, Thomas, Sahlsten, Tuomas
core   +3 more sources

ON THE HAUSDORFF MEASURE OF CERTAIN PLANE SET PROJECTIONS

Pesquimat, 2014
A characterization of plane sets whose projection have zero Hausdorff measure is given. This is obtained through the study of an angular density introduced first by Marstrand [2].
Carlos Arnoldo Morales Rojas
doaj   +1 more source

Hausdorff Dimension and Topological Entropies of a Solenoid

Entropy, 2020
The purpose of this paper is to elucidate the interrelations between three essentially different concepts: solenoids, topological entropy, and Hausdorff dimension.
Andrzej Biś, Agnieszka Namiecińska
doaj   +1 more source

Spaces of non-additive measures generated by triangular norms

Математичні Студії, 2023
We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of the idempotent measures and max-min measures. These measures are related to the continuous triangular norms and they are defined as functionals on the spaces ...
Kh. Sukhorukova
doaj   +1 more source

Singularities of the divergence of continuous vector fields and uniform Hausdorff estimates

, 2012
We prove that every closed set which is not sigma-finite with respect to the Hausdorff measure H^{N-1} carries singularities of continuous vector fields in the Euclidean space R^N for the divergence operator.
Ponce, Augusto C.
core   +1 more source

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
doaj   +1 more source

Infinite System of Differential Equations in Some Spaces

Abstract and Applied Analysis, 2012
The first measure of noncompactness was defined by Kuratowski in 1930 and later the Hausdorff measure of noncompactness was introduced in 1957 by Goldenštein et al.
M. Mursaleen, Abdullah Alotaibi
doaj   +1 more source

Problem with two-point conditions for parabolic equation of second order on time

Karpatsʹkì Matematičnì Publìkacìï, 2014
The  correctness of the problem with two-point conditions on time variable and Dirichlet-type conditions  on spetial coordinates for the linear  parabolic equations are established.
M.M. Symotyuk, I.R. Tymkiv
doaj   +1 more source

Harnessing Deep Learning of Point Clouds for Morphology Mimicking of Universal 3D Shape‐Morphing Devices

Advanced Intelligent Systems, EarlyView.
Soft robots capable of morphing into various 3D shapes are crucial for applications like human‐machine interfaces and biological manipulation. However, controlling 3D shape‐morphing robots with soft actuators remains a challenge. This work introduces a machine learning model that maps complex 3D deformations to control inputs, enabling robots to mimic ...
Jue Wang, Dhirodaatto Sarkar, Jiaqi Suo, Alex Chortos   +3 more
wiley   +1 more source

On the dimension of a certain measure in the plane [PDF]

, 2013
We study the Hausdorff dimension of a measure related to a positive weak solution of a certain partial differential equation in a simply connected domain in the plane.
Dedicated John, L. Lewis, Murat Akman
core