Stationary measures and invariant subsets of homogeneous spaces (II)

DOI10.1090/S0894-0347-2013-00760-2zbMath1268.22011OpenAlexW2068636707MaRDI QIDQ4924065

Jean-François Quint, Yves Benoist

Publication date: 30 May 2013

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0894-0347-2013-00760-2

zbMATH Keywords

homogeneous spacesrandom walkssemisimple Lie groupsMarkov chainergodic theorystationary measuresexponential drift

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (27)

Measure rigidity for random dynamics on surfaces and related skew products ⋮ Linear random walks on the torus ⋮ Berry-Esseen bound and precise moderate deviations for products of random matrices ⋮ Multi-invariant measures and subsets on nilmanifolds ⋮ Random walks with bounded first moment on finite-volume spaces ⋮ Counting and equidistribution in quaternionic Heisenberg groups ⋮ On the regularity of stationary measures ⋮ Random walks on homogeneous spaces and Diophantine approximation on fractals ⋮ Radon stationary measures for a random walk on \(\mathbb{T}^d\times\mathbb{R}\) ⋮ An improved convergence case for Diophantine approximations on IFS fractals ⋮ On Bohr sets of integer-valued traceless matrices ⋮ Expanding measures: Random walks and rigidity on homogeneous spaces ⋮ Large deviation expansions for the coefficients of random walks on the general linear group ⋮ Finitary analysis in homogeneous spaces ⋮ Pointwise equidistribution for one parameter diagonalizable group action on homogeneous space ⋮ Moderate deviations and local limit theorems for the coefficients of random walks on the general linear group ⋮ Random walks on linear groups satisfying a Schubert condition ⋮ Some asymptotic properties of random walks on homogeneous spaces ⋮ Random walks, spectral gaps, and Khintchine's theorem on fractals ⋮ Extreme value theory for random walks on homogeneous spaces ⋮ Spread out random walks on homogeneous spaces ⋮ Counting and equidistribution in Heisenberg groups ⋮ Dynamics on the space of 2-lattices in 3-space ⋮ Genericity on curves and applications: pseudo-integrable billiards, Eaton lenses and gap distributions ⋮ Rigidity, counting and equidistribution of quaternionic Cartan chains ⋮ A zero-one law for invariant measures and a local limit theorem for coefficients of random walks on the general linear group ⋮ How far are \(p\)-adic Lie groups from algebraic groups?

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Random walks on finite volume homogeneous spaces
• Asymptotic properties of linear groups
• Markov chains and stochastic stability
• Dynamical properties of groups of automorphisms on Heisenberg nilmanifolds
• Propriétés de contraction d'un semi-groupe de matrices inversibles. Coefficients de Liapunoff d'un produit de matrices aléatoires indépendantes. (Contraction properties of a semigoup of invertible matrices. Lyapunov coefficient of a product of independent random matrices)
• On Raghunathan's measure conjecture
• Invariant measures for actions of unipotent groups over local fields on homogeneous spaces
• Limit cones of discrete subgroups of reductive groups over a local field
• Raghunathan's conjectures for Cartesian products of real and \(p\)-adic Lie groups
• Stationary measures and invariant subsets of homogeneous spaces. II.
• Central limit theorem on hyperbolic groups
• Stationary measures and equidistribution for orbits of nonabelian semigroups on the torus
• Limite d'ensembles et géométrie des nombres
• A general ergodic theorem

This page was built for publication: Stationary measures and invariant subsets of homogeneous spaces (II)