The Hausdorff dimension of sets arising in metric Diophantine approximation

ArticleOriginal scientific text

Title

Authors ¹

Department of Mathematics, University of York, Heslington, York, YO1 5DD, England

J. D. Bovey and M. M. Dodson, The Hausdorff dimension of systems of linear forms, Acta Arith. 45 (1986), 337-358.
H. Dickinson, The Hausdorff dimension of systems of simultaneously small linear forms, Mathematika 40 (1993), 367-374.
M. M. Dodson, B. P. Rynne and J. A. G. Vickers, Diophantine approximation and a lower bound for Hausdorff dimension, Mathematika 37 (1990), 59-73.
K. J. Falconer, Fractal Geometry - Mathematical Foundations and Applications, Wiley, Chichester, 1990.
V. Jarní k, Diophantische Approximationen und Hausdorffsches Mass, Mat. Sb. 36 (1929), 371-382.
D. G. Larman, On Hausdorff measure in finite dimensional compact metric spaces, Proc. London Math. Soc. (3) 17 (1967), 193-206