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The
Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's
formula (with M G Beaty), to appear in J. Four. Anal. Appl., 2004 . (download)
Hausdorff
dimension and Diophantine approximation (with S. Kristensen), to appear in Fractal
Geometry and Applications: A Jubilee of Benoit Mandelbrot, AMS Proc. Symp.
Pure Math, 2003 . (download)
Exceptional
sets in Dynamical systems and Diophantine approximation, in Proc. of
Rigidity in dynamics and geometry conference (eds. M. Burger and A.
Iozzi), Newton Inst., Cambridge, Springer Verlag 2002, 77-98. (download)
Regular
systems, ubiquity and Diophantine approximation (with V. V. Beresnevich, V.
I. Bernik), in A Panorama of Number Theory (ed. G. Wustholtz), CUP
2002, 260-279. (download)
Shannon's
sampling theorem, incongruent residue classes and Plancherel's theorem, Sem.
th. nomb. Bord. 14 (2002), 425-437. (download)
Simultaneous
Diophantine approximation on the circle and Hausdorff dimension (with H.
Dickinson), Math. Proc. Camb. Phil. Soc., 130 (2001), 515-522. (download)
Extremal
manifolds and Hausdorff dimension (with H.Dickinson), Duke Math. J., 101
(2000), 271-281. (download)
On
linear manifolds satisfying Khintchine's approximation theorem (with V. V.
Beresnevich and V. I. Bernik), (in Byelorussian), Proc. Acad. Sci.
Belarus, Series: Math. Physics, No 2, 2000, 14-17.
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