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Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups / by Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng
(SpringerBriefs in Mathematics. ISSN:21918201)

1st ed. 2023.
出版者 (Cham : Springer Nature Switzerland : Imprint: Springer)
出版年 2023
本文言語 英語
大きさ XIII, 139 p : online resource
著者標目 *Chen, Zhen-Qing author
Kumagai, Takashi author
Saloff-Coste, Laurent author
Wang, Jian author
Zheng, Tianyi author
SpringerLink (Online service)
件 名 LCSH:Probabilities
LCSH:Mathematics
FREE:Probability Theory
FREE:Applied Probability
FREE:Mathematics
一般注記 Setting the stage -- Introduction -- Polynomial coordinates and approximate dilations -- Vague convergence and change of group law -- Weak convergence of the processes -- Local limit theorem -- Symmetric Lévy processes on nilpotent groups -- Measures in SM(Γ) and their geometries -- Adapted approximate group dilations -- The main results for random walks driven by measures in SM(Γ)
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
HTTP:URL=https://doi.org/10.1007/978-3-031-43332-0
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電子ブック オンライン 電子ブック

Springer eBooks 9783031433320
電子リソース
EB00224320

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データ種別 電子ブック
分 類 LCC:QA273.A1-274.9
DC23:519.2
書誌ID 4001079924
ISBN 9783031433320

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