Ignacio García

collaborators

2 papers

math.CA2019

Assouad dimension and local structure of self-similar sets with overlaps in $R^{d}$

Ignacio García

For a self-similar set in $R^{d}$ that is the attractor of an iterated function system that does not verify the weak separation property, Fraser, Henderson, Olson and Robins…

math.CA2016

Assouad dimensions of complementary sets

Ignacio Garcia, Kathryn Hare, Franklin Mendivil

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…

Assouad dimension and local structure of self-similar sets with overlaps in Rd

Assouad dimensions of complementary sets

Assouad dimension and local structure of self-similar sets with overlaps in $R^{d}$