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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Many physical observables can be represented as a particle spending somerandom time within a given domain. For a broad class of transport-dominatedprocesses, we detail how it is possible to express the moments of the number ofparticle collisions in an arbitrary volume in terms of repeated convolutions ofthe ensemble equilibrium distribution. This approach is shown to generalize thecelebrated Kac formula for the moments of residence times, which is recoveredin the diffusion limit. Some practical applications are illustrated forbounded, unbounded and absorbing domains.

Collision number statistics for transport processes