Universidade Federal Fluminense

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19932026

most citedExperimental boson sampling in arbitrary integrated photonic circuits

666 citations

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math.DS2023

Uniform distribution mod $1$ for sequences of ergodic sums and continued fractions

Albert M. Fisher, Xuan Zhang

We establish a coboundary condition for a sequence of ergodic sums (i.e.~Birkhoff partial sums) to be almost surely uniformly distributed mod $1$ . Applications are given when the s…

math.DS2023★ 5 cited

Automorphic measures and invariant distributions for circle dynamics

Edson de Faria, Pablo Guarino, Bruno Nussenzveig

Let $f$ be a $C^{1 + b v}$ circle diffeomorphism with irrational rotation number. As established by Douady and Yoccoz in the eighties, for any given $s > 0$ there exists a unique automo…

math.DS2023★ 1 cited

First-time sensitive homeomorphisms

Mayara Antunes, Bernardo Carvalho

We introduce first-time sensitivity for a homeomorphism of a compact metric space, that is a condition on the first increasing times of open balls of the space. Continuum-wise expa…

Uniform distribution mod 1 for sequences of ergodic sums and continued fractions

Automorphic measures and invariant distributions for circle dynamics

First-time sensitive homeomorphisms

Uniform distribution mod $1$ for sequences of ergodic sums and continued fractions