Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation

From MaRDI portal
Publication:2466956

DOI10.4171/CMH/102zbMath1135.11037arXivmath/0506510OpenAlexW2059911848MaRDI QIDQ2466956

George Tomanov, Dmitry Kleinbock

Publication date: 17 January 2008

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506510



Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).


Related Items (38)

\(S\)-arithmetic inhomogeneous Diophantine approximation on manifoldsAsymptotic distribution of values of isotropic here quadratic forms at \(S\)-integral pointsDiophantine properties of nilpotent Lie groupsQUANTITATIVE ESTIMATE FOR THE MEASURE OF A SET OF REAL NUMBERSDiophantine Inheritance for $p$-adic measuresKhintchine's theorem for affine hyperplanes in positive charateristicA joinings classification and a special case of Raghunathan's conjecture in positive characteristic (with an appendix by Kevin Wortman)\(S\)-arithmetic Khintchine-type theoremEquidistribution with an error rate and Diophantine approximation over a local field of positive characteristicMetric Diophantine approximation over a local field of positive characteristicSimultaneous Diophantine approximation in the real and \(p\)-adic fields with nonmonotonic error functionAnalytic stability and local convergence of translates in \( S\)-arithmetic homogeneous dynamicsA quantitative Khintchine-Groshev theorem for \(S\)-arithmetic Diophantine approximationSimultaneous p-adic Diophantine approximationBesicovitch and doubling type properties in metric spacesSingular vectors on manifolds over totally real number fieldsPolynomial effective density in quotients of \(\mathbb{H}^3\) and \(\mathbb{H}^2 \times \mathbb{H}^2\)Diameter of homogeneous spaces: an effective accountDistribution of shapes of orthogonal latticesAn extension of quantitative nondivergence and applications to Diophantine exponentsThe inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic\(S\)-adic version of Minkowski's geometry of numbers and Mahler's compactness criterionSimultaneous Diophantine approximation in non-degenerate \(p\)-adic manifoldsRational points on homogeneous varieties and equidistribution of adelic periods (with appendix by Mikhail Borovoi)Geometric results on linear actions of reductive Lie groups for applications to homogeneous dynamicsQuantitative Oppenheim conjecture for \(S\)-arithmetic quadratic forms of rank \(3\) and \(4 \)Values of decomposable forms at \(S\)-integral points and orbits of tori on homogeneous spacesEffective equidistribution and property (𝜏)An effective estimate for the measure of the set of p-adic numbers with a given order of approximationMultiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponentsBadly approximable vectors, curves and number fieldsRational points near manifolds and metric Diophantine approximationPrimitive rational points on expanding horocycles in products of the modular surface with the torusWinning property of badly approximable points on curvesEffective discreteness radius of stabilizers for stationary actionsArithmeticity of discrete subgroups containing horospherical latticesBadly approximable vectors on fractalsNon-planarity and metric Diophantine approximation for systems of linear forms




This page was built for publication: Flows on \(S\)-arithmetic homogeneous spaces and applications to metric Diophantine approximation