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

The master equation for a probability density function (pdf) driven byL\'{e}vy noise, if conditioned to conform with the principle of detailedbalance, admits a transformation to a contractive strongly continuous semigroupdynamics. Given a priori a functional form of the semigroup potential, weaddress the ground-state reconstruction problem for generic L\'{e}vy-stablesemigroups, for {\em all} values of the stability index $\mu \in (0,2)$. Thatis known to resolve an invariant pdf for confined L\'{e}vy flights (e.g. theformer jump-type process). Jeopardies of the procedure are discussed, with afocus on: (i) when an invariant pdf actually is an asymptotic one, (ii)subtleties of the pdf $\mu $-dependence in the vicinity and sharply {\em at}the boundaries 0 and 2 of the stability interval, where jump-type scenarioscease to be valid.

Dynamics of confined Levy flights in terms of (Levy) semigroups