Law of large numbers for the drift of the two-dimensional wreath product
From MaRDI portal
Publication:2128103
DOI10.1007/s00440-021-01098-6zbMath1489.60046arXiv2011.07628OpenAlexW4200298086WikidataQ114229362 ScholiaQ114229362MaRDI QIDQ2128103
Publication date: 21 April 2022
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2011.07628
Sums of independent random variables; random walks (60G50) Strong limit theorems (60F15) Asymptotic properties of groups (20F69) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The inner boundary of random walk range
- Harmonic maps on amenable groups and a diffusive lower bound for random walks
- Uniformity of the late points of random walk on \({\mathbb {Z}}_{n}^{d}\) for \(d \geq 3\)
- \(L_p\) compression, traveling salesmen, and stable walks.
- Asymptotic isoperimetry on groups and uniform embeddings into Banach spaces
- Poisson-Furstenberg boundary of random walks on wreath products and free metabelian groups.
- Instability of set recurrence and Green's function on groups with the Liouville property
- Biharmonic functions on groups and limit theorems for quasimorphisms along random walks
- Random walks on the lamplighter group
- Rectifiable sets and the traveling salesman problem
- Moments and distribution of the local time of a two-dimensional random walk
- Entropy and isoperimetry for linear and non-linear group actions.
- Lacunary hyperbolic groups. With an appendix by Michael Kapovich and Bruce Kleiner.
- Random walks on discrete groups: Boundary and entropy
- Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
- An O(N log N) planar travelling salesman heuristic based on spacefilling curves
- The multiple range of two-dimensional recurrent walk
- Rates of convergence for lamplighter processes
- Rate of escape of random walks on wreath products and related groups.
- Cut-off for lamplighter chains on tori: dimension interpolation and phase transition
- Mixing times for random walks on finite lamplighter groups
- Heat kernel asymptotics on the lamplighter group
- Random walks on discrete groups of polynomial volume growth
- On random walks on wreath products
- Central limit theorems for Gromov hyperbolic groups
- Finite-dimensional representations constructed from random walks
- Minimal growth harmonic functions on lamplighter groups
- Isoperimetric inequalities, shapes of Følner sets and groups with Shalom's property \(H_{\mathrm{FD}}\)
- Poisson boundaries of lamplighter groups: proof of the Kaimanovich-Vershik conjecture
- Deviation inequalities for random walks
- Speed of random walks, isoperimetry and compression of finitely generated groups
- The boundary of the range of a random walk and the Følner property
- Relative complexity of random walks in random scenery in the absence of a weak invariance principle for the local times
- Positive harmonic functions for semi-isotropic random walks on trees, lamplighter groups, and DL-graphs
- Green kernel estimates and the full Martin boundary for random walks on lamplighter groups and Diestel-Leader graphs
- Central limit theorem on hyperbolic groups
- Travelling Salesman with a Self-Similar Itinerary
- Random Walk: A Modern Introduction
- Directed travelling salesman problem
- The travelling salesman problem on a randomly diluted lattice
- Weak invariance principles for local time
- Growth Series of Some Wreath Products
- Speed Exponents of Random Walks on Groups
- Topics in Markov chains: mixing and escape rate
- Random Walks on Infinite Graphs and Groups
- On Groups, Slow Heat Kernel Decay Yields Liouville Property and Sharp Entropy Bounds
- A geometric approach to on-diagonal heat kernel lower bounds on groups.
This page was built for publication: Law of large numbers for the drift of the two-dimensional wreath product