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Publications

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1989
Dodson MM, Silva AM.  1989.  An algorithm for optimal regular sampling. Signal Processing. 17:169-174.
Dodson MM, Rynne BP, Vickers JAG.  1989.  Averaging in multi-frequency systems. Nonlinearity. 2:137-148.
Beaty MG, Dodson MM.  1989.  Derivative sampling for multiband signals. J Num Funct Anal & Optimisation. 10:875-898.
Dodson MM, Rynne BP, Vickers JAG.  1989.  Metric Diophantine approximation and Hausdorff dimension on manifolds. Math Proc Camb Phil Soc. 105:547-558.
Dodson MM, Vickers JAG.  1989.  Number theory and dynamical systems. London Mathematical Society Lecture Note Series.
1990
Dodson MM, Rynne BP, Vickers JAG.  1990.  Diophantine approximation and a lower bound for Hausdorff dimension. Mathematika. 37:73.
Dodson MM.  1990.  Diophantine inequalities and multiband sampling. Proc Nato Adv Study Inst on. :483-498.
Dodson MM, Rynne BP, Vickers JAG.  1990.  Dirichlet's theorem and Diophantine approximation on manifolds. J Num Theory. 36:85-88.
Dodson MM, Rynne BP, Vickers JAG.  1990.  Linear forms on manifolds. Proc Ind Nat Acad Sci. 100:221-229.
1991
Dodson MM, Rynne BP, Vickers JAG.  1991.  Khintchine-type theorems for manifolds. Acta Arith. 52:115-130.
Dodson MM.  1991.  Star bodies and Diophantine approximation. J London Math Soc. (2) 44:1-8.
1992
Dodson MM, Poeschel J, Rynne BP, Vickers JAG.  1992.  Hausdorff dimension of small divisors for lower dimensional KAM-tori. Proc Roy Soc London A. 439:359-371.
Dodson MM.  1992.  Hausdorff dimension, lower order and Khintchine's theorem in Diophantine Approximation. J reine angew Math. 432:69-76.
Dodson MM.  1992.  Shannon's sampling theorem. Current Science. 65:253-260.
Dodson MM, Hasan S.  1992.  Systems of linear forms and covers for star bodies. Acta Arith. 61:119-127.
1993
Dodson MM.  1993.  Chord theorems, circle maps and the Borsuk-Ulam antipodal theorem. New Zealand Journal of Maths. 22:22-29.
Beaty MG, Dodson MM.  1993.  The distribution of sampling rates for signals with equally spaced, equally wide spectral bands. SIAM J Num Anal. 53:893-906.
Beaty MG, Dodson MM.  1993.  Errors in reconstructing multiband signals. Communication Theory and App. I:96-102.
Dodson MM.  1993.  Geometrical and probabilistic ideas in metric Diophantine approximation. Uspekhi Mat Nauk. 48:77-106.
Dodson MM.  1993.  Geometrical and probabilistic ideas on Diophantine approximation. Russian Maths Surveys. 48:73-102.
1994
Beaty MG, Dodson MM, Higgins JR.  1994.  Approximating Paley-Weiner functions by smoothed step functions. J Approximation Theory. 78 No.3:433-445.
Dodson MM, Rynne BP, Vickers JAG.  1994.  The Hausdorff dimension of exceptional sets associated with normal forms. J London Math Soc. 49:614-624.
1995
Dodson MM, Melián MV, Pestana D, Velani S.  1995.  Patterson measure and Ubiquity. Ann. Acad. Sci. Fenn.. 20:1:37--60.
1996
Bernik VI, Dodson MM.  1996.  The exact order of approximation of zero by values of integral complex polynomials. Akad Navuk Belarus. 40:10-14.
Dodson MM, Rynne BP, Vickers JAG.  1996.  Simultaneous Diophantine approximation and asymptotic formulae on manifolds. J Number Theory. 50:298-316.

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