4 papers
Error Rates for Large Deviations in the domain of an stable law
Jonny Imbierski, Dalia Terhesiu
We obtain error rates for large deviations of sums of i.i.d. random variables in, a particular case, of the domain of a non-symmetric infinite mean -stable law. The focus of t…
Dimension of Besicovitch-Eggleston sets for non-autonomous systems with countable symbolic dynamics
Jonny Imbierski, Charlene Kalle
In this article we derive a formula for the Hausdorff dimension of Besicovitch-Eggleston level sets associated with non-autonomous dynamics constructed from families of countable a…
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy
Jonny Imbierski, Charlene Kalle, Reza Mohammadpour
In this article, we calculate the Birkhoff spectrum in terms of the Hausdorff dimension of level sets for Birkhoff averages of continuous potentials for a certain family of diagona…
Stable large deviations for deterministic dynamical systems
Jonny Imbierski, Dalia Terhesiu
We obtain large deviations for a class of dependent random variables in the domain of attraction of an -stable law, . This class includes ergodic sums of…