Zobrazeno 1 - 10
of 140
pro vyhledávání: '"Strungaru, Nicolae"'
Given an infinite word ${\bf w}$ on a finite alphabet, an immediate question arises:~can we understand the frequency of letters in ${\bf w}$\,? For words that are the fixed points of substitutions, the answer to this question is often `yes' -- the de
Externí odkaz:
http://arxiv.org/abs/2410.12173
In this paper, we show that the diffraction of the primes is absolutely continuous, showing no bright spots (Bragg peaks). We introduce the notion of counting diffraction, extending the classical notion of (density) diffraction to sets of density zer
Externí odkaz:
http://arxiv.org/abs/2406.13687
Autor:
Korfanty, Emily R., Strungaru, Nicolae
Given a Fourier transformable measure in two dimensions, we find a formula for the intensity of its Fourier transform along circles. In particular, we obtain a formula for the diffraction measure along a circle in terms of the autocorrelation measure
Externí odkaz:
http://arxiv.org/abs/2405.08215
Autor:
Lenz, Daniel, Strungaru, Nicolae
We discuss how the diffraction theory of a single translation bounded measure or a family of such measures can be understood within the framework of unitary group representations. This allows us to prove an orthogonality feature of measures whose dif
Externí odkaz:
http://arxiv.org/abs/2402.01044
This article deals with pure point diffraction and its connection to various notions of almost periodicity. We explain why the Fibonacci chain does not fit into the classical class of Bohr almost periodicity and how it fits into the classes of mean,
Externí odkaz:
http://arxiv.org/abs/2312.12825
We prove that a substitution is aperiodic if and only if some of its associated generating functions are transcendental. These generating functions have a recursive structure arising from the substitution which we use to study their roots in the case
Externí odkaz:
http://arxiv.org/abs/2309.16100
In this paper, we study the properties of the Eberlein convolution of measures and introduce a twisted version of it. For functions we show that the twisted Eberlein convolution can be seen as a translation invariant function-valued inner product. We
Externí odkaz:
http://arxiv.org/abs/2211.06969
Autor:
Richard, Christoph, Strungaru, Nicolae
We show that any translate of a model set is a model set in some modified cut-and-project scheme. Restricting to Euclidean direct space, we show that any translate of an inter model set is a model set in some modified cut-and-project scheme with seco
Externí odkaz:
http://arxiv.org/abs/2211.01439
We find explicit optimal vertex, edge and face coulourings for the chair tiling, the Ammann--Beenker tiling, the rational pinwheel tiling and the pinwheel tiling.
Comment: 25 pages
Comment: 25 pages
Externí odkaz:
http://arxiv.org/abs/2209.06364
We present a unified theory for the almost periodicity of functions with values in an arbitrary Banach space, measures and distributions via almost periodic elements for the action of a locally compact abelian group on a uniform topological space. We
Externí odkaz:
http://arxiv.org/abs/2208.01304