English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove a vector-valued almost sure invariance principle for some classes oftime dependent non-uniformly distance expanding dynamical systems. The modelswe have in mind are certain sequential versions of the smooth non-uniformlydistance expanding maps considered in \cite{castro} and \cite{Vara}, as well ascertain types of sequences of covering maps. Our results rely on the theory ofcomplex projective metrics which was developed in \cite{Rug}, together with thespectral methods of Gou\"ezel \cite{GO}. A big advantage in applying the theoryof complex cones here is that it also yields additional probabilistic limittheorems for random dynamical systems, as described at the last section of thispaper.

A vector valued almost sure invariance principle for time dependent non-uniformly expanding dynamical systems