Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups
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...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Institution som forfatter: | |
| Format: | Electronisk eBog |
| Sprog: | engelsk |
| Udgivet: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
|
| Udgivelse: | 1st ed. 2023. |
| Serier: | SpringerBriefs in Mathematics,
|
| Fag: | |
| Online adgang: | https://doi.org/10.1007/978-3-031-43332-0 |
| Tags: |
Tilføj Tag
Ingen Tags, Vær først til at tagge denne postø!
|
| Summary: | 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. |
|---|---|
| Fysisk beskrivelse: | 1 online resource (XIII, 139 p.). |
| ISBN: | 9783031433320 |
| ISSN: | 2191-8201 |
| DOI: | 10.1007/978-3-031-43332-0 |