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Riesz bases of exponentials on unbounded multi-tiles
(American Mathematical Society, 2018-01)
We prove the existence of Riesz bases of exponentials of L2(Ω), provided that Ω ⊂ ℝd is a measurable set of finite and positive measure, not necessarily bounded, that satisfies a multi-tiling condition and an arithmetic ...
Ladrilhamentos regulares e semirregulares do plano
(Universidade Federal de São CarlosUFSCarCâmpus São CarlosMatemática - MNL, 2021-11-24)
The tiling technique consists of filling the plane with geometric figures without overlapping or empty spaces. Although this technique is quite old, the science is recent and contains aspects that have not yet been developed ...
Spaces of tilings, finite telescopic approximations and gap-labeling
(SPRINGER, 2006-01)
The continuous Hull of a repetitive tiling T in R-d with the Finite Pattern Condition (FPC) inherits a minimal R-d-lamination structure with flat leaves and a transversal Gamma(T) which is a Cantor set. This class of tiling ...
A note on tilings and translation surfaces
(CAMBRIDGE UNIV PRESS, 2006-02)
Consider a tiling T of the two-dimensional Euclidean space made with copies up to translation of a finite number of polygons meeting each other full edge to full edge. In this paper, we prove that, associated with T, there ...
Thermal behavior of metallic and fiber cement tiles with simple and double layers
(Univ Fed Rural Semi-arido-ufersa, 2018-07-01)
This research was conducted aiming to evaluate the thermal behavior of metallic and fiber cement tiles installed in simple and double layers. The experiment was performed on prototypes of roofing in single layers and ...
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 ...
Tower systems for linearly repetitive Delone sets
(CAMBRIDGE UNIV PRESS, 2011)
In this paper we study linearly repetitive Delone sets and prove, following the work of Bellissard, Benedetti and Gambaudo, that the hull of a linearly repetitive Delone set admits a properly nested sequence of box ...