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Recurrent and almost-periodic sequences

Archiv der Mathematik, 1997
A sequence \(g:\mathbb{N}\to\mathbb{C}\) is called almost-periodic if it belongs to the completion \({\mathcal A}^1\) of the \(\mathbb{C}\)-linear space spanned by the sequences \(e_\vartheta\) with \(\vartheta\in\mathbb{R}/ \mathbb{Z}\), where \(e_\vartheta(n) =e^{2\pi i\vartheta n}\) for \(n\in\mathbb{N}\), under the semi-norm \[ |g|_1= \limsup_{x\to\
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Empirical determination of the frequencies of an almost periodic sequence

Proceedings of 8th Workshop on Statistical Signal and Array Processing, 2002
This note is concerned with the problem of determination of the countable set /spl Lambda/={/spl lambda//sub 1/, /spl lambda//sub 2/, ...} of frequencies belonging to an almost periodic sequence by methods in which a finite number of frequencies {/spl lambda//sub 1//sup (n)/, /spl lambda//sub 2//sup (n)/, ..., L(K/sub n/)/sup (n)/}=/spl Lambda//sub n ...
D. Dehay, H.L. Hurd
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On almost periodicity of morphic sequences

Doklady Mathematics, 2016
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WEAKLY ALMOST PERIODICITY AND DISTRIBUTIONAL CHAOS IN A SEQUENCE

International Journal of Modern Physics B, 2007
Let (∑, ρ) be a one-sided symbolic space (with two symbols) and σ be the shift on ∑. Denote the set of almost periodic points by A(·) and the set of weakly almost periodic points by W(·). In this paper, we prove that there exists an uncountable set J such that σ|J is distributively chaotic in a sequence, and J⊂W(σ)-A(σ).
LIDONG WANG, GUIFENG HUANG, NA WANG
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On construction of almost periodic sequences and applications to some discrete population models

Journal of Difference Equations and Applications, 2021
In this work, we develop a novel approximation strategy for building almost periodic sequences in the theory of almost periodic functions.
Taghiyev, Mustafa H., Hamidoğlu, Ali
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Almost Periodic Functions and Sequences

2018
In this chapter we review basic properties of almost periodic functions as well as their discrete counterparts needed in the sequel.
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An algorithm for periodicity and almost periodicity of uniform substitution sequences and its implications on aperiodic spin models

Computer Physics Communications, 2019
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Suani T. R. Pinho   +3 more
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Uniformly almost periodic weighted sequences.

1965
Professer A.P. Guinand introduces and develops in his paper, "Concordance and the Harmonic Analysis of Sequences" [3], the concept of an almost periodic weighted sequence. [...]
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Almost Six-Phase Sequences with Perfect Periodic Autocorrelation Function

2014
A new family of almost six-phase sequences with perfect periodic autocorrelation function is obtained. The distinctive features of these sequences are: fairly frequent grid of periods, quasi-perfect periodic cross-correlation function, and nearly unit peak-factor.
Vladimir E. Gantmakher   +1 more
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Uniform Exponential Stability of Discrete Semigroup and Space of Asymptotically Almost Periodic Sequences

Zeitschrift für Analysis und ihre Anwendungen, 2015
We prove that the discrete semigroup \mathbb{T}= \{\mathcal{T}(n): n \in \mathbb{Z_+}\} is uniformly exponentially stable if and only if for each z(n)\in \mathbb{AAP}_0(\mathbb{Z}_+,\mathcal{X})
Ahmad, Nisar   +2 more
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