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

Author:   Zhen-Qing Chen ,  Takashi Kumagai ,  Laurent Saloff-Coste ,  Jian Wang
Publisher:   Springer International Publishing AG
Edition:   1st ed. 2023
ISBN:  

9783031433313


Pages:   139
Publication Date:   25 October 2023
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups


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Author:   Zhen-Qing Chen ,  Takashi Kumagai ,  Laurent Saloff-Coste ,  Jian Wang
Publisher:   Springer International Publishing AG
Imprint:   Springer International Publishing AG
Edition:   1st ed. 2023
Weight:   0.248kg
ISBN:  

9783031433313


ISBN 10:   3031433319
Pages:   139
Publication Date:   25 October 2023
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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).

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Zhen-Qing Chen is a Professor of Mathematics at the University of Washington, Seattle, Washington, USA Takashi Kumagai is a Professor of Mathematics  at Waseda University, Tokyo, Japan. Laurent Saloff-Coste is the Abram R. Bullis Professor of Mathematics at Cornell University, Ithaca, New York, USA. Jian Wang is a Professor of Mathematics at Fujian Normal University, Fuzhou, Fujian Province, P.R. China Tianyi Zheng is a Professor of Mathematics at the University of California, San Diego, California, USA

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