150 citations · 496 across the 43 of their papers we have counts for
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Order symmetry and orthogonality of trajectories in discrete interval exchange transformations
Sébastien S. Ferenczi, Luca Q. Zamboni
Let be a pair of distinct orders on a -letter alphabet The periodic trajectories of a discrete -interval exchange transformations with p…
On Christoffel words & their lexicographic array
Luca Q. Zamboni
By a Christoffel matrix we mean a matrix corresponding to the lexicographic array of a Christoffel word of length In this note we show that if is an integral d…
On the extremal values of the cyclic continuants of Motzkin and Straus
Alessandro De Luca, Luca Q. Zamboni
In a 1983 paper, G. Ramharter asks what are the extremal arrangements for the cyclic analogues of the regular and semi-regular continuants first introduced by T.S. Motzkin and E.G.…
Continuants with equal values, a combinatorial approach
Gerhard Ramharter, Luca Q. Zamboni
A regular continuant is the denominator of a terminating regular continued fraction, interpreted as a function of the partial quotients. We regard as a function defined on…
Extremal values of semi-regular continuants and codings of interval exchange transformations
Alessandro De Luca, Marcia Edson, Luca Q. Zamboni
Given a set of positive integers and a partition , find the extremal denominators of the regular and semi-regular continued fraction $[0;x…
A Ramsey Characterisation of Eventually Periodic Words
Maria-Romina Ivan, Imre Leader, Luca Q. Zamboni
A factorisation of an infinite word on alphabet is called `monochromatic', for a given colouring of the finite words on alphabet , if each $u_…