Some limits related to random iterations of a lamplighter group
From MaRDI portal
Publication:2475417
DOI10.1016/j.spl.2007.04.022zbMath1134.60300OpenAlexW2004128612MaRDI QIDQ2475417
Martha Takane, Louis G. Gorostiza
Publication date: 11 March 2008
Published in: Statistics \& Probability Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.spl.2007.04.022
Extensions, wreath products, and other compositions of groups (20E22) Iteration of real functions in one variable (26A18) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Random walks on the lamplighter group
- Rates of convergence of \(\alpha\)-stable random motions
- Random walks on direct sums of discrete groups
- Marches aléatoires sur les groupes de Lie
- Rate of escape of random walks on wreath products and related groups.
- Mixing times for random walks on finite lamplighter groups
- Eigenvalues of random wreath products
- Random walks on wreath products of groups
- On random walks on wreath products
- Central limit theorems for iterated random Lipschitz mappings.
- The central limit theorem for random motions of d-dimensional Euclidean space
- Iterated Random Functions
- Random iteration of Euclidean isometries
- A central limit theorem for iterated random functions
- An Invariance Principle for a Class of d-Dimensional Polygonal Random Functions
- Mixing times for Markov chains on wreath products and related homogeneous spaces