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

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

by Zhen-Qing ChenTakashi Kumagai Laurent Saloff-Coste and others
Paperback
Publication Date: 25/10/2023

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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.
ISBN:
9783031433313
9783031433313
Category:
Mathematics
Format:
Paperback
Publication Date:
25-10-2023
Language:
English
Publisher:
Springer
Country of origin:
United States
Dimensions (mm):
235x155mm
Weight:
0.25kg

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