Values of binary quadratic forms at integer points and Schmidt games

zbMath1332.37004arXiv1311.1560MaRDI QIDQ2786798

Barak Weiss, Dmitry Kleinbock

Publication date: 23 February 2016

Full work available at URL: https://arxiv.org/abs/1311.1560

zbMATH Keywords

hyperplanespace of latticesabsolute winningOppenheim conjecturenondense orbits

Mathematics Subject Classification ID

Metric theory (11J83) Dynamical systems in optimization and economics (37N40) Markov and Lagrange spectra and generalizations (11J06) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Homogeneous flows (37A17)

Related Items (10)

Badly approximable \(S\)-numbers and absolute Schmidt games ⋮ On non-dense orbits of certain non-algebraic dynamical systems ⋮ Khintchine-type theorems for values of subhomogeneous functions at integer points ⋮ Intrinsic Diophantine approximation on manifolds: General theory ⋮ A dichotomy phenomenon for bad minus normed Dirichlet ⋮ Weighted badly approximable complex vectors and bounded orbits of certain diagonalizable flows ⋮ Bounded orbits of certain diagonalizable flows on $SL_{n}(R)/SL_{n}(Z)$ ⋮ Conway river and Arnold sail ⋮ Bounded orbits of diagonalizable flows on finite volume quotients of products of \(\mathrm{SL}_2(\mathbb{R})\) ⋮ Non-dense orbits on homogeneous spaces and applications to geometry and number theory

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