Average distances on self-similar sets and higher order average distances of self-similar measures
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-016-1826-3
Abstract: The purpose of this paper is twofold: (1) we study different notions of the average distance between two points of a self-similar subset of $${\mathbb {R}}$$R, and (2) we investigate the asymptotic behaviour of higher… read more here.
Keywords: self similar; higher order; distances self; similar measures ... See more keywords
Parabolic invariant tori in quasi-periodically forced skew-product maps
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2020.12.032
Abstract: Abstract We consider the existence of parabolic invariant tori for a class of quasi-periodically forced analytic skew-product maps φ : R n × T d → R n × T d : φ ( z… read more here.
Keywords: invariant tori; order; parabolic invariant; order average ... See more keywords