Boundaries, rigidity of representations, and Lyapunov exponents

zbMath1378.37004arXiv1404.5107MaRDI QIDQ5371289

Uri Bader, Alex Furman

Publication date: 25 October 2017

Full work available at URL: https://arxiv.org/abs/1404.5107

zbMATH Keywords

boundary theoryLyapunov exponentcharacteristic mapsuper-rigidityisometric ergodicity

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) Discrete subgroups of Lie groups (22E40) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) General groups of measure-preserving transformations and dynamical systems (37A15)

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The Furstenberg–Poisson boundary and CAT(0) cube complexes ⋮ Cocycle superrigidity from higher rank lattices to \(\mathrm{Out}{(F_N)}\) ⋮ Charmenability of arithmetic groups of product type ⋮ Charmenability of higher rank arithmetic groups ⋮ A totally disconnected invitation to locally compact groups ⋮ Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces ⋮ Group actions on dendrites and curves ⋮ Amenable uniformly recurrent subgroups and lattice embeddings ⋮ Maximal representations of complex hyperbolic lattices into \(\mathrm{SU}(m,n)\) ⋮ Stationary characters on lattices of semisimple Lie groups ⋮ Local rigidity of uniform lattices ⋮ Super-rigidity and non-linearity for lattices in products ⋮ Superrigidity of actions on finite rank median spaces ⋮ Superrigidity of maximal measurable cocycles of complex hyperbolic lattices

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