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Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups
Hoofdkenmerken
Auteur: Zhen-Qing Chen; Takashi Kumagai; Laurent Saloff-Coste; Jian Wang; Tianyi Zheng
Titel: Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups
Uitgever: Springer Nature
ISBN: 9783031433320
ISBN boekversie: 9783031433313
Prijs: € 53,94
Verschijningsdatum: 24-10-2023
Inhoudelijke kenmerken
Categorie: General
Taal: English
Imprint: Springer
Technische kenmerken
Verschijningsvorm: E-book
 

Inhoudsopgave:

This book develops limit theorems for a natural class of long range random walks on finitely generated torsion free nilpotent groups.  The limits in these limit theorems are Lévy processes on some simply connected nilpotent Lie groups. Both the limit Lévy process and the limit Lie group carrying this process are determined by and depend on the law of the original random walk. The book offers the first systematic study of such limit theorems involving stable-like random walks and stable limit Lévy processes in the context of (non-commutative) nilpotent groups.
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