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Higher Dimensional Shrinking Target Problem in Beta Dynamical Systems
We consider the two dimensional shrinking target problem in the beta dynamical system for general β>1 and with the general error of approximations. Let f,g be two positive continuous functions. For any x0,y0∈[0,1], define the shrinking target set
E(T_\beta, f,g):=\left\{(x,y)\in [0,1]^2: \begin{array}{ll} |T_{\beta}^{n}x-x_{0}|
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