Hausdorff measure and linear forms

Journal fur die Reine und Angewandte Mathematik

Volumn 490, Issue , 1997, Pages 1-36

  Dickinson, Detta ^a   Velani, Sanju L ^b  

^a UNIVERSITY OF YORK   (United Kingdom)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031287849     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

1. J. Bovey and M. M. Dodson, The Hausdorff dimension of systems of simultaneously small linear forms, Acta Arith. 45 (1986), 337-358.
2. J. W. Cassels, An introduction to Diophantine approximation, C.U.P. (1957).
3. M. M. Dodson, Hausdorff dimension, lower order and Khintchine's theorem in metric Diophantine approximation, J. reine angew. Math. 432 (1992), 69-76.
4. K. Falconer, Fractal Geometry: Mathematical Foundations and Applications, John Wiley & sons, 1990.
5. A. V. Groshev, Un Théorème sur les systèmes des formes linéaires, Dokl. Akad. Nauk SSSR 19 (1938), 151-152.
6. R. Hill and S.L. Velani, Ergodic theory of shrinking targets, Inv. math. 119 (1995), 175-198.
7. R. Hill and S. L. Velani, Metric Diophantine Approximation in Julia sets of Expanding Rational Maps, Inst. Hautes Etudes Sci. Publ. Math., to appear.
8. R. Hill and S. L. Velani, The Shrinking Target Problem for Matrix Transformations of Tori, J. London Math. Soc., to appear.
9. R. Hill and S. L. Velani, The Jarnik-Besicovitch Theorem for geometrically finite Kleinian groups, Proc. London Math. Soc., to appear.
10. V. Jarnik, Über die simultanen Diophantischen Approximationen, Math. Z. 33 (1931), 505-543.
11. A. Khintchine, Einige Sätze über Kettenbrüche, mit Anwendungen auf die Theorie der Diophantischen Approximationen, Math. Ann. 92 (1924), 115-125.
12. V.G. Sprindzuk, Metric Theory of Diophantine Approximations (translated by R. A. Silverman), John Wiley, 1979.