Ergodicity of Flows on Homogeneous Spaces

From MaRDI portal
Publication:5527398

DOI10.2307/2373052zbMath0148.37902OpenAlexW2321141082WikidataQ56020161 ScholiaQ56020161MaRDI QIDQ5527398

Calvin C. Moore

Publication date: 1966

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2373052




Related Items

Unnamed ItemIntrinsic Sound of Anti-de Sitter ManifoldsDerivations on the algebra of Rajchman measuresOrbits of horospherical flowsRecurrence and ergodicity of random walks on linear groups and on homogeneous spacesLogarithm laws for unipotent flows. II.Joinings of higher-rank diagonalizable actions on locally homogeneous spacesPoisson boundaries and envelopes of discrete groupsEffective estimates on integral quadratic forms: Masser's conjecture, generators of orthogonal groups, and bounds in reduction theoryTopological Equivalence of Foliations of Homogeneous SpacesDynamics over Teichmüller spaceMapping class group dynamics on \(\operatorname{Aff}(\mathbb{C})\)-charactersStably ergodic dynamical systems and partial hyperbolicityC1 actions on manifolds by lattices in Lie groupsMutual isomorphisms of translations of a homogeneous flowFlexibility of statistical properties for smooth systems satisfying the central limit theoremAbsolutely continuous spectrum for parabolic flows/mapsUnnamed ItemAlgebraic hulls and the Følner propertyOn the geometry of the string landscape and the swamplandMultidimensional continued fractions, dynamical renormalization and KAM theoryUnnamed ItemPrehomogeneous vector spaces and ergodic theory. IOn density properties of certain subgroups with boundedness conditionsAn extension of Ratner's rigidity theorem to n-dimensional hyperbolic spaceQuotient groups of discrete subgroups and measure theoryAmenable subgroups of semi-simple groups and proximal flowsAutomorphisms, orbits, and homogeneous spaces of non-connected Lie groupsA simple proof of Borel's density theoremErgodic complex structures on hyperkähler manifoldsBounded geodesics in rank-1 locally symmetric spacesWeakly almost periodic functions on semisimple Lie groupsInvariance groups and convergence of types of measures on Lie groupsOn the cohomology of ergodic group actions\({A_{\mathfrak{q}}} \)-components of geometric classes in compact Hermitian locally symmetric spacesA transfer principle: from periods to isoperiodic foliationsOrbits of Euclidean frames under discrete linear groupsHeisenberg subgroups of semisimple Lie groupsBadly approximable systems of affine formsThe modular group action on real \(SL(2)\)-characters of a one-holed torusInvariant measures and minimal sets of horospherical flowsDuality type results and ergodic actions of simple Lie groups on operator algebrasErgodic theory and the duality principle on homogeneous spacesHigher Order Correlations for Group ActionsErgodic elements for actions of Lie groupsMinimality and unique ergodicity of homogeneous actionsFlows on homogeneous spaces and Diophantine properties of matrices.Nearest neighbor distances on a circle: Multidimensional caseBounded orbits of certain diagonalizable flows on $SL_{n}(R)/SL_{n}(Z)$Stable ergodicity in homogeneous spacesErgodic theory, group representations, and rigidityRigidity of some translations on homogeneous spacesJoint ergodicity for group actionsCoherent states for the Lobachevskian planePointwise ergodic theorems beyond amenable groupsMinimality of horospherical flowsWeak mixing and unique ergodicity on homogeneous spacesErgodic theory, semisimple Lie groups, and foliations by manifolds of negative curvatureOn the reduction of tensor products of representations of pseudoorthogonal groupsMorrison-Kawamata cone conjecture for hyperkahler manifoldsMeasurable Quotients of Unipotent Translations on Homogeneous SpacesInvariant measures of horospherical flows on non-compact homogeneous spacesBerezin symbols and spectral measures of representation operatorsOrbit structure and countable sections for actions of continuous groupsThe horocycle flow is mixing of all degreesTheory of dynamical systems and general transformation groups with invariant measureAsymptotic properties of unitary representationsLimit theorems for partially hyperbolic systemsContraction centers in families of hyperkähler manifoldsCobounded subgroups of algebraic groups over local fieldsAn inhomogeneous Dirichlet theorem via shrinking targetsInduced and amenable ergodic actions of Lie groupsStable ergodicityA nonlinear extension of the Borel density theorem: Applications to invariance of geometric structures and to smooth orbit equivalenceÜber Automorphismengruppen lokal-kompakter Gruppen und Derivationen von Lie-GruppenHorocycle flows are loosely BernoulliModuli spaces of quadratic differentialsOn the Mostow rigidity theorem and measurable foliations by hyperbolic spaceLimiting distributions of theta series on Siegel half-spacesAutomorphisms of Two-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic PlaneFree energy, value, and attractorsChaotic coupling constantsExplicit Kazhdan constants for representations of semisimple and arithmetic groupsTopological Equivalence of Flows on Homogeneous Spaces, and Divergence of One-Parameter Subgroups of Lie GroupsErgodicity of unipotent flows and Kleinian groupsQuantitative rational approximation on spheresOn uniformly distributed orbits of certain horocycle flowsThe Mautner phenomenon for p-adic Lie groupsThe Pythagorean group and ergodic flowsMulti-dimensional metric approximation by primitive pointsArithmeticity of the irreducible lattices in the semi-simple groups of rank greater than 1On ergodic quasi-invariant measures of group automorphismCompact Nilmanifold Extensions of Ergodic ActionsWeakly Almost Periodic FlowsArithmetic lattices and commensurator according to G. A. MargulisThe uniqueness of the maximal measure for geodesic flows on symmetric spaces of higher rankHausdorff dimension of divergent diagonal geodesics on product of finite-volume hyperbolic spaces