| R. T. Bumby, Hausdor# dimensions of Cantor sets, J. Reine Angew. Math., 331 (1982), 192--206. |
....AND M. URBA NSKI When the alphabet I is nite, the irrationals in I are all badly approximable by rationals (cf. 45] The arithmetic properties of such I have therefore been widely studied, with particular emphasis on the set E 2 , corresponding to the choice I = f1; 2g (cf. 17] [8], 22] The Hausdor dimension of sets such as E 2 yields insight into various problems in Diophantine approximation, particularly in connection with the Marko and Lagrange spectra (cf. 8] 13] 25] Further geometric measure theoretic properties have been studied by Mauldin Urba nski ....
.... widely studied, with particular emphasis on the set E 2 , corresponding to the choice I = f1; 2g (cf. 17] 8] 22] The Hausdor dimension of sets such as E 2 yields insight into various problems in Diophantine approximation, particularly in connection with the Marko and Lagrange spectra (cf. [8], 13] 25] Further geometric measure theoretic properties have been studied by Mauldin Urba nski [32] who extended this investigation to the case of in nite alphabets I, as part of a wider analysis of in nite conformal iterated function systems [31] A powerful approach to these problems is ....
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R. T. Bumby, Hausdor dimensions of Cantor sets, J. Reine Angew. Math., 331 (1982), 192-206.
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R. T. Bumby, Hausdor# dimensions of Cantor sets, J. Reine Angew. Math., 331 (1982), 192--206.
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