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 focus on investigating the explicit rate of convergence for thepropagation of chaos, in a pathwise sense a family of interacting stochasticparticle related to some Brownian driven McKean-Vlasov dynamics. Precisely theMcKean form of nonlinearity is concentrated on a path dependent drift componentand satisfies a particular sub-gaussian moment control. Such control enables toderive a uniform estimate of the cost in terms of exponential martingalebetween the particle and its McKean/mean-field limit system which in turnprovide an optimal rate of propagation of chaos in terms of the total variationdistance. As a by-product, we deepen some recent propagation of chaos resultsdue to Lacker 2018 and provides a partial stochastic interpretation of theentropy control technique introduced in Jabin and Wang 2016.

Rate of propagation of chaos for diffusive stochastic particle systems via Girsanov transformation