Diophantine approximation on subspaces of $\mathbb{R}^n$ and dynamics on homogeneous spaces

zbMath1410.11102arXiv1606.02399MaRDI QIDQ3119374

Anish Ghosh

Publication date: 11 March 2019

Full work available at URL: https://arxiv.org/abs/1606.02399

zbMATH Keywords

Lebesgue measureaffine subspaceDiophantine approximation on manifoldsflows on homogeneous spacesdynamical methodsDiophantine exponents of measureshigher Diophantine exponents of matricesKhintchine-Groshev Theorem

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to number theory (11-02) Simultaneous homogeneous approximation, linear forms (11J13) Metric theory (11J83) Diophantine approximation in probabilistic number theory (11K60) Diophantine approximation, transcendental number theory (11J99) Homogeneous flows (37A17)

Related Items (9)

\(S\)-arithmetic inhomogeneous Diophantine approximation on manifolds ⋮ Diophantine Inheritance for $p$-adic measures ⋮ Khintchine's theorem for affine hyperplanes in positive charateristic ⋮ The inhomogeneous Sprindžhuk conjecture over a local field of positive characteristic ⋮ On Diophantine transference principles ⋮ Inhomogeneous Diophantine approximation with prime constraints ⋮ Multiplicative p-adic metric Diophantine approximation on manifolds and dichotomy of exponents ⋮ Quantitative Diophantine approximation on affine subspaces ⋮ Diophantine transference inequalities: weighted, inhomogeneous, and intermediate exponents

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