3 papers
math.DS2017
Statistics of patterns in typical cut and project sets
Alan Haynes, Antoine Julien, Henna Koivusalo +1
In this article pattern statistics of typical cubical cut and project sets are studied. We give estimates for the rate of convergence of appearances of patches to their asymptotic…
math.OA2016
Wavelets and spectral triples for fractal representations of Cuntz algebras
Carla Farsi, Elizabeth Gillaspy, Antoine Julien +2
In this article we provide an identification between the wavelet decompositions of certain fractal representations of algebras of directed graphs of M. Marcolli and A. Paoluc…
math.DS2008
Complexity and cohomology for cut and projection tilings
Antoine Julien
We consider a subclass of tilings, the tilings obtained by cut and projection. Under somewhat standard assumptions, we show that the natural complexity function has polynomial grow…