[PDF][PDF] The scenery flow for self-affine measures

T Kempton - arXiv preprint arXiv:1505.01663, 2015 - arxiv.org
The Scenery Flow for Self-Affine Measures. arXiv:1505.01663v1 [math.DS] 7 May 2015 Page 1
The Scenery Flow for Self-Affine Measures. Tom Kempton April 18, 2019 Abstract We describe …

Hausdorff dimension of multiple expansions

Y Zou, J Lu, V Komornik - Journal of Number Theory, 2022 - Elsevier
Let M be a positive integer and q∈(1, M+ 1]. A q-expansion of a real number x is a
sequence (ci)= c 1 c 2⋯ with ci∈{0, 1,…, M} such that x=∑ i= 1∞ ciq− i. Let U qj denote the …

[HTML][HTML] On the complexity of the set of codings for self-similar sets and a variation on the construction of Champernowne

S Baker, D Kong - Advances in Mathematics, 2020 - Elsevier
Abstract Let F={p 0,…, pn} be a collection of points in R d. The set F naturally gives rise to a
family of iterated function systems consisting of contractions of the form S i (x)= λ x+(1− λ) pi …