The University of York

 

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              Maurice Dodson

            

My research interests:

 

Metrical Diophantine approximation, harmonic analysis and applications to signal processing, chaos and biology

 

Recent research projects:

 

INTAS 00-429 "Diophantine approximation, lattices and related topics", 01/07/2001--31/12/2003. Project coordinator and the leader of York team

 

Recent publications:

 

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.

 

Full list of publications is here
 

  HomeResearch activities, Publications,  etcTeachingLinks and Other Information

   Department of Mathematics Home Page

             Maurice Dodson
Last modified: 23 May 2004
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