Random walk on unipotent matrix groups

DOI10.24033/asens.2466zbMath1490.60106arXiv1512.06304OpenAlexW3207431271MaRDI QIDQ5020481

Persi Diaconis, Robert D. Hough

Publication date: 6 January 2022

Published in: Annales scientifiques de l'École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.06304

zbMATH Keywords

Heisenberg grouplocal limit theoremunipotent grouprandom walk on a group

Mathematics Subject Classification ID

Martingales with discrete parameter (60G42) Central limit and other weak theorems (60F05) Characteristic functions; other transforms (60E10) Sums of independent random variables; random walks (60G50) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Nilpotent and solvable Lie groups (22E25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) (L^p)-limit theorems (60F25)

Related Items (5)

The random walk on upper triangular matrices over \(\mathbb{Z} / m\mathbb{Z}\) ⋮ An exercise(?) in Fourier analysis on the Heisenberg group ⋮ Positive harmonic functions on the Heisenberg group. II ⋮ Complexity and randomness in the Heisenberg groups (and beyond) ⋮ The local limit theorem on nilpotent Lie groups

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