A Lifetime of Excursions Through Random Walks and Lévy Processes
A Volume in Honour of Ron Doney's 80th Birthday
(Sprache: Englisch)
This collection honours Ron Doney's work and includes invited articles by his collaborators and friends. After an introduction reviewing Ron Doney's mathematical achievements and how they have influenced the field, the contributed papers cover both...
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Klappentext zu „A Lifetime of Excursions Through Random Walks and Lévy Processes “
This collection honours Ron Doney's work and includes invited articles by his collaborators and friends. After an introduction reviewing Ron Doney's mathematical achievements and how they have influenced the field, the contributed papers cover both discrete-time processes, including random walks and variants thereof, and continuous-time processes, including Le vy processes and diffusions. A good number of the articles are focused on classical fluctuation theory and its ramifications, the area for which Ron Doney is best known.
Inhaltsverzeichnis zu „A Lifetime of Excursions Through Random Walks and Lévy Processes “
- A Lifetime of Excursions Through Random Walks and Lévy Processes. - Path Decompositions of Perturbed Reflecting Brownian Motions. - On Doney's Striking Factorization of the Arc-Sine Law. - On a Two-Parameter Yule-Simon Distribution. - The Limit Distribution of a Singular Sequence of Itô Integrals. - On Multivariate Quasi-infinitely Divisible Distributions. - Extremes and Regular Variation. - Some New Classes and Techniques in the Theory of Bernstein Functions. - A Transformation for Spectrally Negative Lévy Processes and Applications. - First-Passage Times for Random Walks in the Triangular Array Setting. - On Local Times of Ornstein-Uhlenbeck Processes. - Two Continua of Embedded Regenerative Sets. - No-Tie Conditions for Large Values of Extremal Processes. - Slowly Varying Asymptotics for Signed Stochastic Difference Equations. - The Doob-McKean Identity for Stable Lévy Processes. - Oscillatory Attraction and Repulsion from a Subset of the Unit Sphere or Hyperplane for Isotropic Stable Lévy Processes. - Angular Asymptotics for Random Walks. - First Passage Times of Subordinators and Urns.
Autoren-Porträt
Loïc Chaumont was educated at Université du Maine (Le Mans) and Université Paris 6 and is currently a professor of mathematics at Université d'Angers. He published over 50 research papers on theory of stochastic processes, both in discrete and continuous times. His main domain of research concerns Lévy processes. He was the director of LAREMA, the CNRS mathematics research unit in Angers, from 2012 to 2016.
Bibliographische Angaben
- 2021, 1st ed. 2021, VI, 355 Seiten, 355 farbige Abbildungen, Maße: 15,5 x 23,5 cm, Gebunden, Englisch
- Herausgegeben: Loïc Chaumont, Andreas E. Kyprianou
- Verlag: Springer, Berlin
- ISBN-10: 3030833089
- ISBN-13: 9783030833084
Sprache:
Englisch
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