A special case of effective equidistribution with explicit constants (Q2884085)
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scientific article; zbMATH DE number 6038235
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A special case of effective equidistribution with explicit constants |
scientific article; zbMATH DE number 6038235 |
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A special case of effective equidistribution with explicit constants (English)
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24 May 2012
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equidistribution with explicit constants
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Haar measure
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\(H\)-orbits
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Markov spectrum
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Let \(B(v)= 2v_1v_3- v_2^2\) for any \(v\in\mathbb{R}^3\) and let \(H= \text{SO}(B)\). The author uses translates of a small piece of a unipotent orbit in \(H\) by a particular torus in \(H\) in order to get an ``effective ergodic'' theorem. The methods applied are mainly in the spirit of the article [\textit{M. Einsiedler}, \textit{G. Margulis} and \textit{A. Venkatesh}, Invent. Math. 177, No. 1, 137--212 (2009; Zbl 1176.37003)]. The main theorem has an application in giving effective estimates for the discreteness of the Markov spectrum.
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