Random walks on finite nilpotent groups driven by long-jump measures

Author:

Saloff-Coste Laurent1,Wang Yuwen2

Affiliation:

1. Cornell University, USA

2. University of Innsbruck, Austria

Publisher

Institute of Mathematical Statistics

Subject

Statistics, Probability and Uncertainty,Statistics and Probability

Reference14 articles.

1. Zhen-Qing Chen, Takashi Kumagai, Laurent Saloff-Coste, Jian Wang, and Tianyi Zheng, Long range random walks and associated geometries on groups of polynomial growth, arXiv preprint 1807.00354 (2018).

2. Thierry Coulhon and Alexander Grigor’yan, On-diagonal lower bounds for heat kernels and Markov chains, Duke Math. J. 89 (1997), no. 1, 133–199.

3. Persi Diaconis and Laurent Saloff-Coste, Moderate growth and random walk on finite groups, Geom. Funct. Anal. 4 (1994), no. 1, 1–36.

4. Persi Diaconis and Laurent Saloff-Coste, Nash inequalities for finite Markov chains, J. Theoret. Probab. 9 (1996), no. 2, 459–510.

5. William Feller, An introduction to probability theory and its applications. Vol. II, Second edition, John Wiley & Sons, Inc., New York-London-Sydney, 1971.

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