The Hausdorff dimension of sets arising in metric Diophantine approximation

• Autorzy: H. Dickinson
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1994
• Tom: 68
• Numer: 2
• Strony: 133-140

Daty

wydano

1994

otrzymano

1993-07-19

poprawiono

1994-05-21

Twórcy

autor

H. Dickinson

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

Bibliografia

• [1] J. D. Bovey and M. M. Dodson, The Hausdorff dimension of systems of linear forms, Acta Arith. 45 (1986), 337-358.
• [2] H. Dickinson, The Hausdorff dimension of systems of simultaneously small linear forms, Mathematika 40 (1993), 367-374.
• [3] 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.
• [4] K. J. Falconer, Fractal Geometry - Mathematical Foundations and Applications, Wiley, Chichester, 1990.
• [5] V. Jarní k, Diophantische Approximationen und Hausdorffsches Mass, Mat. Sb. 36 (1929), 371-382.
• [6] D. G. Larman, On Hausdorff measure in finite dimensional compact metric spaces, Proc. London Math. Soc. (3) 17 (1967), 193-206