Escape of mass and entropy for diagonal flows in real rank one situations

DOI10.1007/s11856-015-1252-yzbMath1352.37016arXiv1110.0910OpenAlexW2125986605MaRDI QIDQ891572

Manfred Einsiedler, Shirali Kadyrov, Anke D. Pohl

Publication date: 17 November 2015

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

Full work available at URL: https://arxiv.org/abs/1110.0910

zbMATH Keywords

Hausdorff dimensionmetric entropyconnected semisimple Lie groupescaping mass

Mathematics Subject Classification ID

Entropy and other invariants (28D20) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Discrete subgroups of Lie groups (22E40)

Related Items (11)

Excursions to the cusps for geometrically finite hyperbolic orbifolds and equidistribution of closed geodesics in regular covers ⋮ Entropy in the cusp and phase transitions for geodesic flows ⋮ Escape of entropy for countable Markov shifts ⋮ On the dimension drop conjecture for diagonal flows on the space of lattices ⋮ Singular systems of linear forms and non-escape of mass in the space of lattices ⋮ Dimension estimates for the set of points with non-dense orbit in homogeneous spaces ⋮ Pressure at infinity and strong positive recurrence in negative curvature ⋮ Amount of failure of upper-semicontinuity of entropy in non-compact rank-one situations, and Hausdorff dimension ⋮ Escape of mass and entropy for geodesic flows ⋮ Continuity properties of Lyapunov exponents for surface diffeomorphisms ⋮ Hausdorff dimension of divergent diagonal geodesics on product of finite-volume hyperbolic spaces

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