AbstractWe study some combinatoric properties of the Morse sequence, linked with its ergodic properties of local rank one and local funny rank one; we show that the maximum part of the Morse sequence that may be covered by disjoint translates of one word is exactly of density 23, even allowing for some errors in the tiling; when we replace words by patterns (words with holes), 23 can be replaced by at least 56
Let P be a hereditary property of words, i.e., an infinite class of finite words such that every sub...
We investigate the density of critical positions, that is, the ratio between the number of critical ...
The shifts of an infinite word $W=a_0a_1\cdots$ are the words $W_i=a_ia_{i+1}\cdots$. As a measure o...
AbstractWe study some combinatoric properties of the Morse sequence, linked with its ergodic propert...
AbstractWe show that the proportion of the Morse sequence which can be tiled by one word is exactly ...
We introduce the notion of a Morse sequence, which provides a simple and effective approach to discr...
Abstract. Morse matchings capture the essential structural information of discrete Morse functions. ...
AbstractIn Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse function...
Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invente...
Smooth words are connected to the Kolakoski sequence. We construct the maximal and the minimal in ni...
Abstract. The Morse-Hedlund Theorem states that a bi-infinite sequence η in a finite alphabet is per...
We introduce a Morse theory for posets of Bestvina-Brady type combining matchings and height functio...
We prove a 2018 conjecture of Krawchuk and Rampersad on the extremal behavior of $c(n)$, where $c(n)...
The paper summarizes properties of topological and sequence en- tropy of the Morse shift $X_\M$ gene...
AbstractWe study the palindrome complexity of infinite sequences on finite alphabets, i.e., the numb...
Let P be a hereditary property of words, i.e., an infinite class of finite words such that every sub...
We investigate the density of critical positions, that is, the ratio between the number of critical ...
The shifts of an infinite word $W=a_0a_1\cdots$ are the words $W_i=a_ia_{i+1}\cdots$. As a measure o...
AbstractWe study some combinatoric properties of the Morse sequence, linked with its ergodic propert...
AbstractWe show that the proportion of the Morse sequence which can be tiled by one word is exactly ...
We introduce the notion of a Morse sequence, which provides a simple and effective approach to discr...
Abstract. Morse matchings capture the essential structural information of discrete Morse functions. ...
AbstractIn Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse function...
Discrete Morse theory is a powerful tool combining ideas in both topology and combinatorics. Invente...
Smooth words are connected to the Kolakoski sequence. We construct the maximal and the minimal in ni...
Abstract. The Morse-Hedlund Theorem states that a bi-infinite sequence η in a finite alphabet is per...
We introduce a Morse theory for posets of Bestvina-Brady type combining matchings and height functio...
We prove a 2018 conjecture of Krawchuk and Rampersad on the extremal behavior of $c(n)$, where $c(n)...
The paper summarizes properties of topological and sequence en- tropy of the Morse shift $X_\M$ gene...
AbstractWe study the palindrome complexity of infinite sequences on finite alphabets, i.e., the numb...
Let P be a hereditary property of words, i.e., an infinite class of finite words such that every sub...
We investigate the density of critical positions, that is, the ratio between the number of critical ...
The shifts of an infinite word $W=a_0a_1\cdots$ are the words $W_i=a_ia_{i+1}\cdots$. As a measure o...
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