14 citations · 44 across the 14 of their papers we have counts for
16 papers
On the minimum of -Brjuno functions
Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi
-Brjuno functions were introduced in \cite{MaMoYo_06} as an interesting variant of the classical Brjuno function, where one substitutes the singularity at with the…
Regularity properties of the -Wilton functions
Ayreena Bakhtawar, Carlo Carminati, Seul Bee Lee
The aim of this article is to study the regularity properties of the Wilton functions associated with -continued fractions. We prove that the Wilton function is BMO for $α…
Global and local minima of -Brjuno functions
Ayreena Bakhtawar, Carlo Carminati, Stefano Marmi
The main goal of this article is to analyze some peculiar features of the global (and local) minima of -Brjuno functions where Our starting point is the resul…
Tanaka-Ito -continued fractions and matching
Carlo Carminati, Niels Langeveld, Wolfgang Steiner
Two closely related families of -continued fractions were introduced in 1981: by Nakada on the one hand, by Tanaka and Ito on the other hand. The behavior of the entropy as a fu…
On the regularity of Mather's -function for standard-like twist maps
Carlo Carminati, Stefano Marmi, David Sauzin +1
We consider the minimal average action (Mather's function) for area preserving twist maps of the annulus. The regularity properties of this function share interesting relations…
Matching in a family of piecewise affine maps
Henk Bruin, Carlo Carminati, Stefano Marmi +1
We consider a class of simple one parameter families of interval maps, and we study how metric (resp. topological) entropy changes as the parameter varies. We show that in many cas…