The Hausdorff dimension of sets arising in metric Diophantine approximation

H. Dickinson

Acta Arithmetica (1994)

  • Volume: 68, Issue: 2, page 133-140
  • ISSN: 0065-1036

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H. Dickinson. "The Hausdorff dimension of sets arising in metric Diophantine approximation." Acta Arithmetica 68.2 (1994): 133-140. <http://eudml.org/doc/206649>.

@article{H1994,
author = {H. Dickinson},
journal = {Acta Arithmetica},
keywords = {sets of well approximable numbers; Hausdorff-dimension},
language = {eng},
number = {2},
pages = {133-140},
title = {The Hausdorff dimension of sets arising in metric Diophantine approximation},
url = {http://eudml.org/doc/206649},
volume = {68},
year = {1994},
}

TY - JOUR
AU - H. Dickinson
TI - The Hausdorff dimension of sets arising in metric Diophantine approximation
JO - Acta Arithmetica
PY - 1994
VL - 68
IS - 2
SP - 133
EP - 140
LA - eng
KW - sets of well approximable numbers; Hausdorff-dimension
UR - http://eudml.org/doc/206649
ER -

References

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  1. [1] J. D. Bovey and M. M. Dodson, The Hausdorff dimension of systems of linear forms, Acta Arith. 45 (1986), 337-358. Zbl0534.10025
  2. [2] H. Dickinson, The Hausdorff dimension of systems of simultaneously small linear forms, Mathematika 40 (1993), 367-374. Zbl0793.11019
  3. [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. Zbl0688.10049
  4. [4] K. J. Falconer, Fractal Geometry - Mathematical Foundations and Applications, Wiley, Chichester, 1990. Zbl0689.28003
  5. [5] V. Jarní k, Diophantische Approximationen und Hausdorffsches Mass, Mat. Sb. 36 (1929), 371-382. Zbl55.0719.01
  6. [6] D. G. Larman, On Hausdorff measure in finite dimensional compact metric spaces, Proc. London Math. Soc. (3) 17 (1967), 193-206 Zbl0152.24503

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