3 papers
math.CA2026
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-…
math.CA2026
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 conditi…
math.CA2025
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 ar…