Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups - SpringerBriefs in Mathematics 1st ed. 2023 edition

This book develops limit theorems for a natural class of long range random walks on finitely generated torsion free nilpotent 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.