An effective Ratner equidistribution result for SL\((2,\mathbb R)\ltimes \mathbb R^2\)

DOI10.1215/00127094-2885873zbMath1351.37014arXiv1309.6103OpenAlexW3123490766MaRDI QIDQ2345109

Andreas Strömbergsson

Publication date: 19 May 2015

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.6103

zbMATH Keywords

horocycleeffective equidistributionunipotent flowRatner equidistribution

Mathematics Subject Classification ID

Related Items (13)

Pair correlation for quadratic polynomials mod 1 ⋮ Exponential multiple mixing for some partially hyperbolic flows on products of \(\mathrm{PSL}(2, \mathbb{R})\) ⋮ Polynomial effective equidistribution ⋮ Finitary analysis in homogeneous spaces ⋮ Effective joint equidistribution of primitive rational points on expanding horospheres ⋮ Rational points on nonlinear horocycles and pigeonhole statistics for the fractional parts of ⋮ Polynomial effective density in quotients of \(\mathbb{H}^3\) and \(\mathbb{H}^2 \times \mathbb{H}^2\) ⋮ Effective equidistribution for multiplicative Diophantine approximation on lines ⋮ An effective equidistribution result for SL(2,R)⋉(R2)⊕k and application to inhomogeneous quadratic forms ⋮ Central limit theorems for simultaneous Diophantine approximations ⋮ Almost-prime times in horospherical flows on the space of lattices ⋮ Effective Ratner theorem for SL(2,R)⋉R2 and gaps in n modulo 1 ⋮ Gaps of saddle connection directions for some branched covers of tori

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