150 citations · 496 across the 43 of their papers we have counts for
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On a question of Hof, Knill and Simon on palindromic substitutive systems
Tero Harju, Jetro Vesti, Luca Q. Zamboni
In a 1995 paper, Hof, Knill and Simon obtain a sufficient combinatorial criterion on the hull of the potential of a discrete Schrödinger operator which guarantees purely singul…
On Generating Binary Words Palindromically
Tero Harju, Mari Huova, L. Q. Zamboni
We regard a finite word up to word isomorphism as an equivalence relation on where is equivalent to if and only if Some…
A Coloring Problem for Infinite Words
Aldo de Luca, Elena V. Pribavkina, Luca Q. Zamboni
In this paper we consider the following question in the spirit of Ramsey theory: Given where is a finite non-empty set, does there exist a finite coloring of the no…
On additive properties of sets defined by the Thue-Morse word
Michelangelo Bucci, Neil Hindman, Svetlana Puzynina +1
In this paper we study some additive properties of subsets of the set $\nats$ of positive integers: A subset of $\nats$ is called {\it -summable} (where $k\in\ben$) if c…
Variations of the Morse-Hedlund Theorem for -Abelian Equivalence
Juhani Karhumäki, Aleksi Saarela, Luca. Q. Zamboni
In this paper we investigate local to global phenomena for a new family of complexity functions of infinite words indexed by $k \in \Ni \cup \{+\infty\}$ where $\Ni$ denotes the se…
On the least number of palindromes contained in an infinite word
Gabriele Fici, Luca Q. Zamboni
We investigate the least number of palindromic factors in an infinite word. We first consider general alphabets, and give answers to this problem for periodic and non-periodic word…