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Publications

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2010
Dodson MM.  2010.  Approximating signals in the abstract. Applicable Analysis. iFirst:1--16.
Butzer PL, Dodson MM, Ferreira PJSG, Higgins JR, Lange O, Seidler P.  2010.  Herbert Raabe's work in multiplex signal transmission and his development of sampling methods. Signal Processing. 90
2009
Dodson MM.  2009.  Diophantine approximation, Khintchine's theorem, torus geometry and Hausdorff dimension. Seminaires & Congres. 19:1-20.
Beresnevich V, Bernik B, Dodson MM, Velani S.  2009.  Classical metric Diophantine approximation revisited. Analytic number theory. Essays in honour of Klaus Roth on the occasion of his 80th birthday. :38-61.
Beaty M, Dodson MM, Eveson S, Higgins JR.  2009.  On the approximate form of Kluvánek's theorem. Journal of Approximation Theory. 160:281-303. Abstract
2008
Beresnevich V, Dodson MM, Kristensen S, Levesley J.  2008.  An inhomogeneous wave equation and non-linear Diophantine approximation. Advances in Mathematics. 217, no. 2:740-760. Abstract
2007
Beaty M, Dodson MM, Eveson S.  2007.  A Converse to Kluvánek's Theorem. Journal of Fourier Analysis and Applications. 13:187-196. Abstract
Dodson MM.  2007.  Groups and the Sampling Theorem. Sampling Theory in Signal and Image Processing. 6:1-27. Abstract
2006
Dodson MM, Kristensen S.  2006.  Khintchine's theorem and a transference principle for star bodies. International Journal of Number Theory. 2:1-23.
2005
Dodson MM, Kemble R.  2005.  Diophantine approximation of complex numbers. Proc. Diophantine Analysis, Uniform Distribution and Applications Conference, Minsk, Belarus. 13:62--69. Abstract
Clegg R, Dodson MM.  2005.  A Markov Based Method for Generating Long-Range Dependence. Physical Reviews E. 72:026118. Abstract
Dodson MM, Kristensen S, Levesley J.  2005.  A quantitative Khintchine-Groshev type theorem over a field of formal series. Indag. Math.. 16:171-177.
Bugeaud Y, Dodson MM, Kristensen S.  2005.  Zero-infinity laws in Diophantine approximation. Quart. J Math.. 56:311-320. Abstract
2004
Dodson MM, Kristensen S.  2004.  Hausdorff dimension and Diophantine approximation. AMS Proc. Symp. Pure Math.. 72.1:305-347. Abstract
Beaty MG, Dodson MM.  2004.  The Whittaker-Kotel'nikov-Shannon theorem, spectral translates and Plancherel's formula. J. Fourier Analysis and Applications. 10:183-203. Abstract
2002
Beresnevich V, Bernik VI, Dodson MM.  2002.  Regular systems, ubiquity and Diophantine approximation. A Panorama of Number Theory or The View from Baker's Garden. :260-279.
Beresnevich V, Bernik VI, Dodson MM.  2002.  On the Hausdorff dimension of sets of well approximable points on non-degenerate curves. Dokl. Nats. Akad. Nauk Belarusi. 46, no.6:18-20.
Dodson MM.  2002.  The Shannon sampling theorem, incongruent residue classes and Plancherel's theorem. Sem Theorie Nombres Bordeaux. 14:425-437.
2001
Dickinson H, Dodson MM.  2001.  Simultaneous Diophantine approximation on the circle and Hausdorff dimension. Math Proc Camb Phil Soc. 130:515-522. Abstract
2000
Dodson MM.  2000.  Exceptional sets in dynamical systems and and Diophantine approximation. Proc Rigidity in Dynamics and Geometry, Newton Inst, Cambridge. :77-98.
Dickinson H, Dodson MM.  2000.  Extremal manifolds and Hausdorff dimension. Duke Math. J.. 101:271-281.
Dodson MM, Fojt O, Levesley J.  2000.  The mathematical theory of Measure Based Reconstruction.
Dodson MM, Fojt O, Giroux Y, Levesley J.  2000.  Nonlinear Analysis of sequential test data from industry.
Beresnevich V, Bernik VI, Dickinson H, Dodson MM.  2000.  On linear manifolds for which the Khintchine approximation theorem holds. Vestsi Nats. Akad. Navuk Belarusi Ser. Fi z.-Mat. Navuk. no. 2:14-17.
Dodson MM, Fojt O, Levesley J.  2000.  Receiver Problem: Feasibility study.

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