2 citations · 3 across the 3 of their papers we have counts for
4 papers
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…
Weak abelian periodicity of infinite words
Sergey Avgustinovich, Svetlana Puzynina
We say that an infinite word w is weak abelian periodic if it can be factorized into finite words with the same frequencies of letters. In the paper we study properties of weak abe…
Central sets generated by uniformly recurrent words
Michelangelo Bucci, Svetlana Puzynina, Luca Q. Zamboni
A subset of $\nats$ is called an IP-set if contains all finite sums of distinct terms of some infinite sequence $(x_n)_{n\in \nats} $ of natural numbers. Central sets, firs…
On minimal factorizations of words as products of palindromes
Anna E. Frid, Svetlana Puzynina, Luca Zamboni
Given a finite word u, we define its palindromic length |u|_{pal} to be the least number n such that u=v_1v_2... v_n with each v_i a palindrome. We address the following open quest…