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Degree distributions and motif profiles of Thue–Morse complex network
X Hu, M Niu - Chaos, Solitons & Fractals, 2023 - Elsevier
In this paper, we study both the horizontal visibility graph (HVG) and the limited penetrable
horizontal visibility graph (LPHVG) mapped from the Thue–Morse sequence. Firstly, we map …
horizontal visibility graph (LPHVG) mapped from the Thue–Morse sequence. Firstly, we map …
Approximate trace reconstruction of random strings from a constant number of traces
Z Chase, Y Peres - arxiv preprint arxiv:2107.06454, 2021 - arxiv.org
In the trace reconstruction problem, the goal is to reconstruct an unknown string $ x $ of
length $ n $ from multiple traces obtained by passing $ x $ through the deletion channel. In …
length $ n $ from multiple traces obtained by passing $ x $ through the deletion channel. In …
Edit distance in substitution systems
A Best, Y Peres - arxiv preprint arxiv:2501.00440, 2024 - arxiv.org
Let $\sigma $ be a primitive substitution on an alphabet $\mathcal {A} $, and let $\mathcal
{W} _n $ be the set of words of length $ n $ determined by $\sigma $(ie, $ w\in\mathcal {W} …
{W} _n $ be the set of words of length $ n $ determined by $\sigma $(ie, $ w\in\mathcal {W} …