Intermediate dimensions of infinitely generated attractors
Intermediate dimensions of infinitely generated attractors
We study the dimension theory of limit sets of iterated function systems consisting of a countably infinite number of contractions. Our primary focus is on the <italic>intermediate dimensions</italic>: a family of dimensions depending on a parameter <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="theta element-of left-bracket 0 comma 1 right-bracket"> <mml:semantics> <mml:mrow> <mml:mi>θ<!-- …