Ingrid Vukusic

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cs.FL2026

State Complexity of Shifts of the Fibonacci Word

Delaram Moradi, Pierre Popoli, Jeffrey Shallit +1

The Fibonacci infinite word $f = (f_{i})_{i \geq 0} = 01001010 \dots$ is one of the most celebrated objects in combinatorics on words. There is a simple $5$ -state automaton tha…

math.NT2026

Balanced rectangles over Sturmian words and minimal discrepancy intervals

Ingrid Vukusic

We consider $m \times n$ rectangular matrices formed from Sturmian words with slope $α$ , and we fully characterise their balance properties in terms of the Ostrowski representations…