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Catalogue Information
Field name	Details
Dewey Class	519.2
Title	Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups (EBook /) / by Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng.
Author	Chen, Zhen-Qing
Added Personal Name	Kumagai, Takashi
	Saloff-Coste, Laurent
	Wang, Jian
	Zheng, Tianyi
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2023.
Publication	Cham : : Springer Nature Switzerland : : Imprint: Springer, , 2023.
Physical Details	XIII, 139 p. : online resource.
Series	SpringerBriefs in Mathematics 2191-8201
ISBN	9783031433320
Summary Note	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.:
Contents note	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).
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2023. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-031-43332-0
Links to Related Works	Subject References: Applied Probability . Mathematics . Probabilities . Probability Theory . Authors: author . Chen, Zhen-Qing . Kumagai, Takashi . Saloff-Coste, Laurent . Wang, Jian . Zheng, Tianyi . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 519.2 .

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

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