zbMath0961.37001MaRDI QIDQ4499085
Matthias Mayer, Mohammed El Bachir Bekka
Publication date: 28 August 2000
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Homogeneous spaces (22F30)
Ergodicity, mixing, rates of mixing (37A25)
Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85)
Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)
Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)
General groups of measure-preserving transformations and dynamical systems (37A15)
Quadratic forms (reduction theory, extreme forms, etc.) (11H55)
Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02)
Noncompact Lie groups of transformations (57S20)
Homogeneous flows (37A17)
Ergodic theory (37Axx)
Intrinsic Diophantine approximation on quadric hypersurfaces,
Asymptotic windings of horocycles,
Kazhdan sets in groups and equidistribution properties,
Dynamics on nilpotent character varieties,
Multiple disjointness and invariant measures on minimal distal flows,
Effective decay of multiple correlations in semidirect product actions,
Mather measures and the Bowen-Series transformation.,
A generalization of the prime geodesic theorem to counting conjugacy classes of free subgroups.,
Multiple Borel-Cantelli lemma in dynamics and multilog law for recurrence,
Representations of integers by an invariant polynomial and unipotent flows,
An `almost all versus no' dichotomy in homogeneous dynamics and Diophantine approximation,
Metric Diophantine approximation over a local field of positive characteristic,
Modular orbits on the representation spaces of compact abelian Lie groups,
Shrinking target horospherical equidistribution via translated Farey sequences,
Decay estimates for unitary representations with applications to continuous- and discrete-time models,
Expanding measures: Random walks and rigidity on homogeneous spaces,
A central limit theorem for counting functions related to symplectic lattices and bounded sets,
QUANTUM ERGODICITY FOR COMPACT QUOTIENTS OF IN THE BENJAMINI–SCHRAMM LIMIT,
Counting geodesics of given commutator length,
Commutator criteria for strong mixing II. More general and simpler,
A variational principle in the parametric geometry of numbers,
A tour through Mirzakhani’s work on moduli spaces of Riemann surfaces,
Harmonic and invariant measures on foliated spaces,
Von Neumann algebras associated with the group \(SL_{2}(\mathbb R)\),
On $C^*$-algebras associated to actions of discrete subgroups of $\operatorname{SL}(2,\mathbb{R})$ on the punctured plane,
Almost sure functional central limit theorem for the linear random walk on the torus,
Horocycle Flows on Surfaces with Infinite Genus,
Higher Order Correlations for Group Actions,
On the density at integer points of a system comprising an inhomogeneous quadratic form and a linear form,
Isometric group actions on Banach spaces and representations vanishing at infinity,
On the number of incidences between points and planes in three dimensions,
Dynamical properties of groups of automorphisms on Heisenberg nilmanifolds,
Continued fractions for complex numbers and values of binary quadratic forms,
On orbits of \(\text{SL}(2,\mathbb Z)_{+}\) and values of binary quadratic forms on positive integral pairs,
Linearization of Gevrey flows on \(\mathbb{T}^d\) with a Brjuno type arithmetical condition,
Reflection positive stochastic processes indexed by Lie groups,
Central limit theorem and cohomological equation on homogeneous spaces,
Spectral properties of horocycle flows for surfaces of constant negative curvature,
Invariants of orbit equivalence relations and Baumslag-Solitar groups,
Popa superrigidity and countable Borel equivalence relations,
Invariant Radon measures on measured lamination space,
An inhomogeneous Dirichlet theorem via shrinking targets,
Invariant measures for the horocycle flow on periodic hyperbolic surfaces,
Random products of automorphisms of Heisenberg nilmanifolds and Weil’s representation,
(Non)-escape of mass and equidistribution for horospherical actions on trees,
Failure of the \(L^1\) pointwise ergodic theorem for \(\text{PSL}_2(\mathbb{R})\),
Badly approximable numbers and vectors in Cantor-like sets,
Spiraling of approximations and spherical averages of Siegel transforms,
Best simultaneous Diophantine approximations and Lévy's theorem.,
Multi-dimensional metric approximation by primitive points,
Invariant Radon measures for Unipotent flows and products of Kleinian groups,
Superrigidity and countable Borel equivalence relations,
Expansive flows of the three-sphere,
Diagonal changes for surfaces in hyperelliptic components,
Bounding hyperbolic and spherical coefficients of Maass forms
