36 citations · 62 across the 10 of their papers we have counts for
10 papers
Metrical Diophantine approximation for quaternions
Maurice Dodson, Brent Everitt
Analogues of the classical theorems of Khintchine, Jarnik and Jarnik-Besicovitch in the metrical theory of Diophantine approximation are established for quaternions by applying res…
Classical metric Diophantine approximation revisited
Victor Beresnevich, Vasily Bernik, Maurice Dodson +1
The idea of using measure theoretic concepts to investigate the size of number theoretic sets, originating with E. Borel, has been used for nearly a century. It has led to the deve…
Diophantine approximation, Khintchine's theorem, torus geometry and Hausdorff dimension
M. M. Dodson
A general form of the Borel-Cantelli Lemma and its connection with the proof of Khintchine's Theorem on Diophantine approximation and the more general Khintchine-Groshev theorem ar…
A Markov Chain based method for generating long-range dependence
Richard G. Clegg, Maurice Dodson
This paper describes a model for generating time series which exhibit the statistical phenomenon known as long-range dependence (LRD). A Markov Modulated Process based upon an infi…
Khintchine's theorem and transference principle for star bodies
M. M. Dodson, S. Kristensen
Analogues of Khintchine's Theorem in simultaneous Diophantine approximation in the plane are proved with the classical height replaced by fairly general planar distance functions o…
Diophantine approximation with perfect squares and the solvability of an inhomogeneous wave equation
V. Beresnevich, M. Dodson, S. Kristensen +1
The Hausdorff dimension of an exceptional set of periods for which convergence of a formal solution to an inhomogeneous wave equation in n spatial and one temporal dimension is pro…