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pro vyhledávání: '"Mendivil, Franklin"'
Autor:
Hare, Kathryn E., Mendivil, Franklin
In this paper, we determine the almost sure values of the $\Phi$-dimensions of random measures $\mu$ supported on random Moran sets in $\R^d$ that satisfy a uniform separation condition. This paper generalizes earlier work done on random measures on
Externí odkaz:
http://arxiv.org/abs/2207.14654
Autor:
Hare, Kathryn E., Mendivil, Franklin
In this paper, we determine the almost sure values of the $\Phi $-dimensions of random measures supported on random Moran sets that satisfy a uniform separation condition. The $\Phi $-dimensions are intermediate Assouad-like dimensions, the (quasi-)A
Externí odkaz:
http://arxiv.org/abs/2105.13927
Autor:
Mendivil, Franklin, Stenflo, Örjan
Given an grayscale digital image, and a positive integer $n$, how well can we store the image at a compression ratio of $n:1$? In this paper we address the above question in extreme cases when $n>>50$ using "$\mathbf{V}$-variable image compression".<
Externí odkaz:
http://arxiv.org/abs/2009.10115
We show that if the upper Assouad dimension of the compact set $E\subseteq \mathbb{R}$ is positive, then given any $D>\dim_{A}E$ there is a measure with support $E$ and upper Assouad (or regularity) dimension $D$. Similarly, given any $0\leq d<\dim_{
Externí odkaz:
http://arxiv.org/abs/1908.04592
Given a non-negative, decreasing sequence $a$ with sum $1$, we consider all the closed subsets of $[0,1]$ such that the lengths of their complementary open intervals are given by the terms of $a$, the so-called complementary sets. In this paper we de
Externí odkaz:
http://arxiv.org/abs/1903.07800
We introduce and study bi-Lipschitz-invariant dimensions that range between the box and Assouad dimensions. The quasi-Assouad dimensions and $\theta$-spectrum are other special examples of these intermediate dimensions. These dimensions are localized
Externí odkaz:
http://arxiv.org/abs/1903.07155
Given a positive, decreasing sequence $a,$ whose sum is $L$, we consider all the closed subsets of $[0,L]$ such that the lengths of their complementary open intervals are in one to one correspondence with the sequence $a$. The aim of this note is to
Externí odkaz:
http://arxiv.org/abs/1604.01234
Autor:
Mendivil, Franklin, Stenflo, Örjan
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation March 2021 94
We study a generalization of Mor\'an's sum sets, obtaining information about the $h$-Hausdorff and $h$-packing measures of these sets and certain of their subsets.
Externí odkaz:
http://arxiv.org/abs/1503.08842