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Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng - Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups, Häftad

Häftad, Engelska, 2023

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

Av Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, Tianyi Zheng

Del i serien SpringerBriefs in Mathematics

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Beskrivning
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.
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Zhen-Qing Chen is a Professor of Mathematics at the University of Washington, Seattle, Washington, USATakashi 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. ChinaTianyi Zheng is a Professor of Mathematics at the University of California, San Diego, California, USA

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