TY - BOOK ID - 126346201 TI - Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups AU - Chen, Zhen-Qing. AU - Kumagai, Takashi. AU - Saloff-Coste, Laurent. AU - Wang, Jian. AU - Zheng, Tianyi. PY - 2023 SN - 3031433327 3031433319 PB - Cham : Springer Nature Switzerland : Imprint: Springer, DB - UniCat KW - Probabilities. KW - Mathematics. KW - Probability Theory. KW - Applied Probability. KW - Teoremes de límit (Teoria de probabilitats) KW - Rutes aleatòries (Matemàtica) UR - https://www.unicat.be/uniCat?func=search&query=sysid:126346201 AB - 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. ER -