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A variant of the pinwheel tiling
(Universidad de Parma, 2006-12)
In this paper, a number of new generating relations are obtained for general triple hypergeometric series by using integral operators. Results involving double series and hypergeometric functions of Srivastava, Appell and ...
A Strongly Aperiodic Shift Of Finite Type For The Discrete Heisenberg Group
(2014)
We construct a strongly aperiodic subshift of finite type for the discrete Heisenberg
group starting from the classical aperiodic planar tilings due to Raphael Robinson.
Admissible reversing and extended symmetries for bijective substitutions
(Springer, 2023)
In this paper, we deal with reversing and extended symmetries of subshifts generated by bijective substitutions. We survey some general algebraic and dynamical properties of these subshifts and recall known results regarding ...
Aperiodic Antenna Array For Secondary Lobe Suppression
(IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INCPISCATAWAY, 2016)
Tilings induced by a class of cubic Rauzy fractals
(2013-03-18)
We study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles associated with beta-substitutions related to the polynomial x3-ax2-bx-1 for a≥b≥1. In particular, we compute the corresponding boundary ...
Tilings induced by a class of cubic Rauzy fractals
(2013-03-18)
We study aperiodic and periodic tilings induced by the Rauzy fractal and its subtiles associated with beta-substitutions related to the polynomial x3-ax2-bx-1 for a≥b≥1. In particular, we compute the corresponding boundary ...
The cohomological equation over dynamical systems arising from Delone sets
(CAMBRIDGE UNIV PRESS, 2011)
The hull Omega of an aperiodic repetitive Delone set P in R(d) is a compact metric space on which R(d) acts continuously by translation. Let G be R(m) or T(m) and alpha be a continuous G-cocycle over the dynamical system ...
Invariant measures of actions of amenable monotileable groups on the Cantor set
(2017)
The set of invariant probability measures of a continuous action of an amenable group on a compact metric
space is a (non empty) metrizable Choquet simplex. A natural question is to know if the converse is true, i.e, if ...