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math.DS2021★ 1 cited
A convergence criterion for the unstable manifolds of the MacKay approximate renormalisation
Seul Bee Lee, Stefano Marmi, Tanja I. Schindler
We give an explicit arithmetical condition which guarantees the existence of the unstable manifold of the MacKay approximate renormalisation scheme for the breakup of invariant tor…
math.DS2021
The Brjuno functions of the by-excess, odd, even and odd-odd continued fractions and their regularity properties
Seul Bee Lee, Stefano Marmi
The Brjuno function was introduced by Yoccoz to study the linearizability of holomorphic germs and other one-dimensional small divisor problems. The Brjuno functions associated wit…
math.DS2021★ 3 cited
Regularity properties of -Brjuno and Wilton functions
Seul Bee Lee, Stefano Marmi, Izabela Petrykiewicz +1
We study functions related to the classical Brjuno function, namely -Brjuno functions and the Wilton function. Both appear in the study of boundary regularity properties of (qua…