株式会社極東書店トップ商品一覧Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups. 1st ed. 2023.

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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. 1st ed. 2023.

・ISBN 978-3-031-43331-3 paper EUR 44.99

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お気に入り
著者・編者Chen, Zhen-Qing / Kumagai, Takashi / Saloff-Coste, Laurent / Wang, Jian / Zheng, Tianyi,
シリーズSpringerBriefs in Mathematics
出版社(Springer International Publishing AG, SZ)
出版年月2023
ページ数139 pp.
言語ENG
ニュース番号<M25-16637>

解説

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 Levy processes on some simply connected nilpotent Lie groups. Both the limit Levy 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 Levy processes in the context of (non-commutative) nilpotent groups.