Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups
Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng,
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.
Categorías:
Año:
2024
Edición:
1st ed. 2023 Edition
Editorial:
Springer
Idioma:
english
Páginas:
147
ISBN 10:
3031433327
ISBN 13:
9783031433313
Serie:
SpringerBriefs in Mathematics
Archivo:
PDF, 5.39 MB
IPFS:
,
english, 2024
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