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

In this paper, we study dynamics of geodesic flows over closed surfaces ofgenus greater than or equal to 2 without focal points. Especially, we provethat there is a large class of potentials having unique equilibrium states,including scalar multiples of the geometric potential, provided the scalar isless than 1. Moreover, we discuss ergodic properties of these uniqueequilibrium states. We show these unique equilibrium states are Bernoulli, andweighted regular periodic orbits are equidistributed relative to these uniqueequilibrium states.

Unique equilibrium states for geodesic flows over surfaces without focal points