Bounded Orbits of Diagonalizable Flows on SL3(ℝ)/SL3(ℤ)

DOI10.1093/imrn/rnv120zbMath1387.11044arXiv1501.05409OpenAlexW2061529412MaRDI QIDQ3466444

Lifan Guan, Jinpeng An, Dmitry Kleinbock

Publication date: 1 February 2016

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.05409

zbMATH Keywords

Hausdorff dimensionSchmidt gamesbadly approximablediagonalizable flowshyperplane absolute game

Mathematics Subject Classification ID

2-person games (91A05) Ergodic theory on groups (22D40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Diophantine approximation in probabilistic number theory (11K60) Approximation by numbers from a fixed field (11J17)

Related Items (10)

Badly approximable \(S\)-numbers and absolute Schmidt games ⋮ Random fractals and their intersection with winning sets ⋮ Intrinsic Diophantine approximation on manifolds: General theory ⋮ Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows ⋮ Bounded orbits of certain diagonalizable flows on $SL_{n}(R)/SL_{n}(Z)$ ⋮ The topological entropy of non-dense orbits and generalized Schmidt games ⋮ Bounded orbits of diagonalizable flows on finite volume quotients of products of \(\mathrm{SL}_2(\mathbb{R})\) ⋮ Winning property of badly approximable points on curves ⋮ Non-dense orbits on homogeneous spaces and applications to geometry and number theory ⋮ Non-dense orbits of systems with the approximate product property

This page was built for publication: Bounded Orbits of Diagonalizable Flows on SL₃(ℝ)/SL₃(ℤ)