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Limit Theorems for Some Long Range Random Walks on Torsion Free Nilpotent Groups

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...

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Váldodahkkit: Chen, Zhen-Qing (Dahkki), Kumagai, Takashi (Dahkki), Saloff-Coste, Laurent (Dahkki), Wang, Jian (Dahkki), Zheng, Tianyi (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Cham : Springer Nature Switzerland : Imprint: Springer, 2023.
Preanttus:1st ed. 2023.
Ráidu:SpringerBriefs in Mathematics,
Fáttát:
Probabilities.
Mathematics.
Probability Theory.
Applied Probability.
Liŋkkat:https://doi.org/10.1007/978-3-031-43332-0
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Sisdoallologahallan:
  • Setting the stage
  • Introduction
  • Polynomial coordinates and approximate dilations
  • Vague convergence and change of group law
  • Weak convergence of the processes
  • Local limit theorem
  • Symmetric Lévy processes on nilpotent groups
  • Measures in SM(Γ) and their geometries
  • Adapted approximate group dilations
  • The main results for random walks driven by measures in SM(Γ).

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