Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups

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Synopsis

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.

Book details

Edition:
1st ed. 2023
Series:
SpringerBriefs in Mathematics
Author:
Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng
ISBN:
9783031433320
Related ISBNs:
9783031433313
Publisher:
Springer Nature Switzerland
Pages:
N/A
Reading age:
Not specified
Includes images:
Yes
Date of addition:
2023-11-25
Usage restrictions:
Copyright
Copyright date:
2023
Copyright by:
The Editor 
Adult content:
No
Language:
English
Categories:
Mathematics and Statistics, Nonfiction