12 citations · 48 across the 17 of their papers we have counts for
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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★ 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…
math.DS2021
Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems
Claudio Bonanno, Tanja I. Schindler
We consider a conservative ergodic measure-preserving transformation of a -finite measure space with . Given an observable $f:X\to \mathbb{R…