Peter Kuchling

collaborators

3 papers

math.PR2023

Interacting particle systems with continuous spins

Viktor Bezborodov, Luca Di Persio, Martin Friesen +1

We study a general class of interacting particle systems over a countable state space $V$ where on each site $x \in V$ the particle mass $η (x) \geq 0$ follows a stochastic differen…

math.PR2023

Wasserstein distance in terms of the Comonotonicity Copula

Mariem Abdellatif, Peter Kuchling, Barbara Rüdiger +1

In this article, we represent the Wasserstein metric of order $p$ , where $p \in [1, \infty)$ , in terms of the comonotonicity copula, for the case of probability measures on $R^{d}$ , b…

math.PR2022

Limit theorems for time averages of continuous-state branching processes with immigration

Mariem Abdellatif, Martin Friesen, Peter Kuchling +1

In this work we investigate limit theorems for the time-averaged process $(\frac{1}{t} \int_{0}^{t} X_{s}^{x} d s)_{t \geq 0}$ where $X^{x}$ is a subcritical continuous-state branchi…