2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.GN2010★ 2 cited
Digit sets for connected tiles via similar matrices I: Dilation matrices with rational eigenvalues
Avra S. Laarakker, Eva Curry
Given any m-dimensional dilation matrix A with rational eigenvalues, we demonstrate the existence of a digit set D such that the attractor T(A,D) of the iterated function system ge…
math.DS2010
Radix Representations, Self-Affine Tiles, and Multivariable Wavelets
Eva Curry
We investigate the connection between radix representations for Z^n and self-affine tilings of R^n. We apply our results to show that Haar-like multivariable wavelets exist for all…
math.NT2010
Radix and Pseudodigit Representations in Z^n
Eva Curry
We define radix representations for vectors in Z^n analogously with radix representations in Z, and give a sufficient condition for a matrix A:Z^n -> Z^n to yield a radix represent…