3 papers
math.PR2025
Multivariate CLT for Lévy processes: convergence rates without moment assumptions
Jorge González Cázares, David Kramer-Bang, Aleksandar Mijatović
We prove that the norm of a -dimensional Lévy process possesses a finite second moment if and only if the convex distance between an appropriately rescaled process at time a…
math.PR2025
Rates of convergence for multivariate SDEs driven by Lévy processes in the small-time stable domain of attraction
Jorge González Cázares, David Kramer-Bang
This paper explores the rates of convergence of solutions for multivariate stochastic differential equations (SDEs) driven by Lévy processes within the small-time stable domain of…
math.PR2024
Asymptotically optimal Wasserstein couplings for the small-time stable domain of attraction
Jorge González Cázares, David Kramer-Bang, Aleksandar Mijatović
We develop two novel couplings between general pure-jump Lévy processes in and apply them to obtain upper bounds on the rate of convergence in an appropriate Wasserstein dis…