A lifetime of excursions through random walks and L\'evy processes

TL;DR

This paper celebrates Professor Ron Doney's 50-year career in probability theory, highlighting his contributions to the understanding of random walks and Lévy processes, and introduces related research in a commemorative volume.

Contribution

It provides a comprehensive overview of Ron Doney's influential work on random walks and Lévy processes, serving as an introductory piece to a collection of his colleagues' research.

Findings

Summarizes key contributions of Ron Doney in probability theory.

Connects his work to recent research in the field.

Highlights the significance of Lévy processes and random walks.

Abstract

In celebration of Professor Ron Doney's 80th birthday, we provide a summary of his academic career and contributions to probability theory, as one of the UK's leading probabilists for over 50 years. A version of this note also serves as an introductory article to the volume in honor of Ron Doney [Birkh\"auser, 2021], which includes an additional 17 research papers produced by Ron's colleagues and friends.