Title: Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups (SpringerBriefs in Mathematics)
Publisher: Springer
Publication Date: 2023
Language: English
ISBN 10: 3031433319
ISBN 13: 9783031433313
Binding: Soft cover
Condition: New

About this title

Synopsis

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

About the Author

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

"About this title" may belong to another edition of this title.

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