30 citations · 48 across the 10 of their papers we have counts for
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Matching for a family of infinite measure continued fraction transformations
Charlene Kalle, Niels Langeveld, Marta Maggioni +1
As a natural counterpart to Nakada's -continued fraction maps, we study a one-parameter family of continued fraction transformations with an indifferent fixed point. We prove th…
A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs
Claudio Bonanno, Alessio Del Vigna, Sara Munday
We study the two-dimensional continued fraction algorithm introduced in \cite{garr} and the associated \emph{triangle map} , defined on a triangle . We in…
Pointwise convergence of Birkhoff averages for global observables
Marco Lenci, Sara Munday
It is well-known that a strict analogue of the Birkhoff Ergodic Theorem in infinite ergodic theory is trivial; it states that for any infinite-measure-preserving ergodic system the…
A multifractal analysis for cuspidal windings on hyperbolic surfaces
Johannes Jaerisch, Marc Kesseböhmer, Sara Munday
In this paper we investigate the multifractal decomposition of the limit set of a finitely generated, free Fuchsian group with respect to the mean cusp winding number. We will comp…
Pointwise perturbations of countable Markov maps
Thomas Jordan, Sara Munday, Tuomas Sahlsten
We study the pointwise perturbations of countable Markov maps with infinitely many inverse branches and establish the following continuity theorem: Let and be expanding c…
The Hausdorff dimension spectrum of Conformal Graph Directed Markov Systems and applications to Nearest Integer continued fractions
Andrei E. Ghenciu, Sara Munday, Mario Roy
In this paper, we consider two dynamical systems associated to the nearest integer continued fraction, and show that both of them have full Hausdorff dimension spectrum.