1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.DS2022
On Periodic Decompositions and Nonexpansive Lines
Cleber Fernando Colle
In his Ph.D. thesis, Michal Szabados conjectured that for a not fully periodic configuration with a minimal periodic decomposition the nonexpansive lines are exactly the lines that…
math.DS2019
On Periodic Decompositions, One-sided Nonexpansive Directions and Nivat's Conjecture
Cleber Fernando Colle
Nivat's conjecture is a famous open problem in symbolic dynamics. The existence of nonexpansive lines that when endowed with a given orientation are one-sided nonexpansive directio…
math.DS2019★ 1 cited
An Alphabetical Approach to Nivat's Conjecture
Cleber F. Colle, Eduardo Garibaldi
Since techniques used to address the Nivat's conjecture usually relies on Morse-Hedlund Theorem, an improved version of this classical result may mean a new step towards a proof fo…