Limit theorems for wobbly interval intermittent maps
Coates, D; Holland, M; Terhesiu, D
Date: 18 August 2021
Journal
Studia Mathematica
Publisher
Polskiej Akademii Nauk, Instytut Matematyczny
Publisher DOI
Abstract
We consider perturbations of interval maps with indifferent fixed points,
which we refer to as wobbly interval intermittent maps, for which stable laws
for general H¨older observables fail. We obtain limit laws for such maps and
H¨older observables. These limit laws are similar to the classical semistable
laws previously established ...
We consider perturbations of interval maps with indifferent fixed points,
which we refer to as wobbly interval intermittent maps, for which stable laws
for general H¨older observables fail. We obtain limit laws for such maps and
H¨older observables. These limit laws are similar to the classical semistable
laws previously established for random processes. One of the considered
examples is an interval map with a countable number of discontinuities, and
to analyse it we need to construct a Markov/Young tower.
Mathematics and Statistics
Faculty of Environment, Science and Economy
Item views 0
Full item downloads 0