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2011 On the size of the resonant set for the products of $2\times 2$ matrices
Jeffrey Allen, Benjamin Seeger, Deborah Unger
Involve 4(2): 157-166 (2011). DOI: 10.2140/involve.2011.4.157

Abstract

For θ[0,2π) and λ>1, consider the matrix h=(λ000) and the rotation matrix Rθ. Let Wn(θ) denote some product of m instances of Rθ and n of h, with the condition mϵn (0<ϵ<1). We analyze the measure of the set of θ for which Wn(θ)λδn (0<δ<1). This can be regarded as a model problem for the Bochi–Fayad conjecture.

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Jeffrey Allen. Benjamin Seeger. Deborah Unger. "On the size of the resonant set for the products of $2\times 2$ matrices." Involve 4 (2) 157 - 166, 2011. https://doi.org/10.2140/involve.2011.4.157

Information

Received: 10 December 2010; Revised: 17 February 2011; Accepted: 3 April 2011; Published: 2011
First available in Project Euclid: 20 December 2017

zbMATH: 1233.37029
MathSciNet: MR2876196
Digital Object Identifier: 10.2140/involve.2011.4.157

Subjects:
Primary: 37H15
Secondary: 37C85, 37H05

Rights: Copyright © 2011 Mathematical Sciences Publishers

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Vol.4 • No. 2 • 2011
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