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• W2130036473 abstract "Given an $m times n$ real matrix $Y$, an unbounded set $mathcal{T}$of parameters $t =( t_1, ldots,t_{m+n})inmathbb{R}_+^{m+n}$ with $sum_{i = 1}^m t_i =sum_{j = 1}^{n} t_{m+j} $ and $0$|Y_iq - p_i| $|q_j| (here $Y_1,ldots,Y_m$are rows of $Y$).We show that for any $varepsilon0$ such that forany drifting away from wallsunbounded $mathcal{T}$, any $varepsilon Our results extend those of several authors beginning with the work of Davenportand Schmidt done in late 1960s. The proofs rely on a translation of the probleminto a dynamical one regarding the action of a diagonal semigroup onthe space $SL_{m+n}(mathbb R)$/$SL_{m+n}(mathbb Z)$." @default.
• W2130036473 created "2016-06-24" @default.
• W2130036473 creator A5028216473 @default.
• W2130036473 creator A5052501746 @default.
• W2130036473 date "2008-01-01" @default.
• W2130036473 modified "2023-10-16" @default.
• W2130036473 title "Dirichlet's theorem on diophantine approximation and homogeneous flows" @default.
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• W2130036473 doi "https://doi.org/10.3934/jmd.2008.2.43" @default.
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