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

This paper tackles the issue of establishing a lower-bound on the asymptoticratio of survival probabilities between two different initial conditions,asymptotically in time for a given Markov process with extinction. Such acomparison is a crucial step in recent techniques for proving exponentialconvergence to a quasi-stationary distribution. We introduce a weak form of theHarnack inequality as the essential ingredient for such a comparison. Thisproperty is actually a consequence of the convergence property we intend toprove. Its complexity appears as the price to pay for the level of flexibilityrequired by our applications. We show in our illustrations how simply andefficiently it can be used nonetheless. As illustrations, we consider twocontinuous-time processes on R^d that do not satisfy the classical Harnackinequalities, even in a local version. The first one is a piecewisedeterministic process while the second is a pure jump process with restrictionson the directions of its jumps.

Exponential quasi-ergodicity for processes with discontinuous trajectories