43 citations · 132 across the 11 of their papers we have counts for
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math.DS2015★ 43 cited
Rigidity of critical circle maps
Pablo Guarino, Marco Martens, Welington de Melo
We prove that any two critical circle maps with the same irrational rotation number and the same odd criticality are conjugate to each other by a circle diffeomorphism.…
math.DS2015★ 15 cited
Real bounds and Lyapunov exponents
Edson de Faria, Pablo Guarino
We prove that a critical circle map without periodic points has zero Lyapunov exponent with respect to its unique invariant Borel probability measure. Moreover, no critical p…