704 citations · 2.4k across the 64 of their papers we have counts for
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math.DS2011★ 14 cited
Tuning and plateaux for the entropy of -continued fractions
Carlo Carminati, Giulio Tiozzo
The entropy of -continued fraction transformations is known to be locally monotone outside a closed, totally disconnected set $\EE$. We will exploit the explicit descri…
math.DS2011★ 13 cited
The bifurcation locus for numbers of bounded type
Carlo Carminati, Giulio Tiozzo
We define a family B(t) of compact subsets of the unit interval which generalizes the sets of numbers whose continued fraction expansion has bounded digits. We study how the set B(…