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math.NT2012
Dynamics of a quasi-quadratic map
Assis Azevedo, Maria Carvalho, António Machiavelo
We consider the map X defined on the rational numbers given by x --> x * ceil(x), where ceil(x) denotes the smallest integer greater than or equal to x, and study the problem of fi…
math.NT2009
Imperfect friezes of integers
Mario Bessa, Maria Carvalho
We show that for any positive forward density subset N \subset Z, there exists an integer m>0, such that, for all n>m, N contains almost perfect n-scaled reproductions of any previ…