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- W2013876260 abstract "Let α, β, δ ∈ [0, 1], α + β = 1 and BAD * ( α , β ; δ ) = { ξ = ( ξ 1 , ξ 2 ) ∊ [ 0 , 1 ] 2 : inf p ∊ N max { ( p log ( p + 1 ) ) α ‖ p ξ 1 ‖ , p log ( p + 1 ) β ‖ p ξ 2 ‖ } ⩾ δ } . It is proved that for different (α1, β1), (α2, β2), α1 + β1 = α2 + β2 = 1 and δ small enough BAD * ( α 1 , β 1 ; δ ) ∩ BAD * ( α 2 , β 2 ; δ ) ≠ Ø . This result is based on A. Khintchine's construction and an original method due to Y. Peres and W. Schlag." @default.
- W2013876260 created "2016-06-24" @default.
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- W2013876260 date "2009-12-22" @default.
- W2013876260 modified "2023-10-18" @default.
- W2013876260 title "On simultaneously badly approximable numbers" @default.
- W2013876260 doi "https://doi.org/10.1112/blms/bdp107" @default.
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