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

It is proved that the Green's function of the simple random walk on a surfacegroup of large genus decays exponentially at the spectral radius. It is alsoshown that Ancona's inequalities extend to the spectral radius R, and thereforethat the Martin boundary for R-potentials coincides with the natural geometricboundary S^1. This implies that the Green's function obeys a power law withexponent 1/2 at the spectral radius.

Random Walk on a Surface Group: Boundary Behavior of the Green's Function at the Spectral Radius