4 citations · 9 across the 6 of their papers we have counts for
12 papers
The attainable almost sure large dimensions
Kathryn E. Hare, Franklin Mendivil
In this paper we study the range of possible almost sure dimensions of random measures arising from a natural model of random Moran measures. Specifically, we consider the Assouad-…
Attainable Assouad-like dimensions of randomly generated Moran sets and measures
Kathryn E. Hare, Franklin Mendivil
In this paper we study the Assouad-like dimensions of sets and measures that are constructed by a random weighted iterated function system of similarities. These dimensions are…
Assouad-like dimensions of a class of random Moran measures II -- non-homogeneous Moran sets
Kathryn E. Hare, Franklin Mendivil
In this paper, we determine the almost sure values of the -dimensions of random measures supported on random Moran sets in that satisfy a uniform separation condition…
Assouad-like dimensions of random Moran measures
Kathryn E. Hare, Franklin Mendivil
In this paper, we determine the almost sure values of the -dimensions of random measures supported on random Moran sets that satisfy a uniform separation condition. The -dime…
Extreme compression of grayscale images
Franklin Mendivil, Örjan Stenflo
Given an grayscale digital image, and a positive integer , how well can we store the image at a compression ratio of ? In this paper we address the above question in extrem…
Measures with specified support and arbitrary Assouad dimensions
Kathryn E. Hare, Franklin Mendivil, Leandro Zuberman
We show that if the upper Assouad dimension of the compact set is positive, then given any there is a measure with support and upper Assou…
Almost sure Assouad-like Dimensions of Complementary sets
Ignacio García, Kathryn E. Hare, Franklin Mendivil
Given a non-negative, decreasing sequence with sum , we consider all the closed subsets of such that the lengths of their complementary open intervals are given by t…
Intermediate Assouad-like dimensions
Ignacio García, Kathryn Hare, Franklin Mendivil
We introduce and study bi-Lipschitz-invariant dimensions that range between the box and Assouad dimensions. The quasi-Assouad dimensions and -spectrum are other special examples…
Assouad dimensions of complementary sets
Ignacio Garcia, Kathryn Hare, Franklin Mendivil
Given a positive, decreasing sequence whose sum is , we consider all the closed subsets of such that the lengths of their complementary open intervals are in one to…
Packing and Hausdorff measures of Cantor sets associated with series
Kathryn Hare, Franklin Mendivil, Leandro Zuberman
We study a generalization of Morán's sum sets, obtaining information about the -Hausdorff and -packing measures of these sets and certain of their subsets.
V-variable image compression
Franklin Mendivil, Örjan Stenflo
V-variable fractals, where is a positive integer, are intuitively fractals with at most different "forms" or "shapes" at all levels of magnification. In this paper we descr…
Isomorphism Check for Factorial Designs with Randomization Restrictions
Neil A. Spencer, Pritam Ranjan, Franklin Mendivil
Factorial designs with randomization restrictions are often used in industrial experiments when a complete randomization of trials is impractical. In the statistics literature, the…