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 investigate three aspects of weak* convergence of the $n$-stepdistributions of random walks on finite volume homogeneous spaces $G/\Gamma$ ofsemisimple real Lie groups. First, we look into the obvious obstruction to theupgrade from Cesaro to non-averaged convergence: periodicity. We give exampleswhere it occurs and conditions under which it does not. In a second part, weprove convergence towards Haar measure with exponential speed from almost everystarting point. Finally, we establish a strong uniformity property for theCesaro convergence towards Haar measure for uniquely ergodic random walks.

Aspects of Convergence of Random Walks on Finite Volume Homogeneous Spaces