EAN: 9783031433313

SPRINGERBRIEFS IN MATHEMATICS LIMIT THEOREMS ...

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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