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math.DS2009★ 10 cited
The entropy of alpha-continued fractions: numerical results
Carlo Carminati, Stefano Marmi, Alessandro Profeti +1
We consider the one-parameter family of interval maps arising from generalized continued fraction expansions known as alpha-continued fractions. For such maps, we perform a numeric…
math.DS2009★ 5 cited
The entropy of alpha-continued fractions: analytical results
Giulio Tiozzo
We study the ergodic theory of a one-parameter family of interval maps T_alpha arising from generalized continued fraction algorithms. First of all, we prove the dependence of the…