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

Name: Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups
SKU: 37943471
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Paperback / softback

Series:

Springerbriefs in Mathematics

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Description

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.

Author Biography:

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

Release date Australia

October 25th, 2023

Author

Audience

Professional & Vocational

Edition

1st ed. 2023

Illustrations

XIII, 139 p.

Pages

139

Series

Springerbriefs in Mathematics

ISBN-13

9783031433313

Product ID

37943471

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