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.
The novelette Qingming Festival was written by the famous Chinese writer Zhang Tianyi. In the story, a domestic conflict between two landlords is finally ended with reconciliation by the scarring of three soldiers, revealing the ferocity and cruelty of the feudal forces. "Bao and His Son" depicts the image of Bao as an honest, nice father with a weak character who has great expectations for his son, but he ends up disappointed. The South-Yangze River Water Village serves as the background. This story was made into a 1983 film by Beijing Film Studio. "Mrs. Huawei," published in 1938, depicts the bureaucratic image of a self-contented and obstinate Kuomintang official by the use of exaggeration and satire.
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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