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 prove that Poisson measures are invariant under (random) intensitypreserving transformations whose finite difference gradient satisfies a cyclicvanishing condition. The proof relies on moment identities of independentinterest for adapted and anticipating Poisson stochastic integrals, and isinspired by the method applied in [22] on the Wiener space, although thecorresponding algebra is more complex than in the Wiener case. The examples ofapplication include transformations conditioned by random sets such as theconvex hull of a Poisson random measure.

Invariance of Poisson measures under random transformations