Dr Detta Dickinson

    Mathematics and Statistics

    Associate Professor

    Logic House
    202
    (01) 708 4635

    Biography

    I work in the area of metric Diophantine approximation. Currently I am interested in the distribution of conjugate algebraic points in regions of space and in simultaneous Diophantine approximation on manifolds.

    Book

    Year Publication
    2006 V. V. Beresnevich, D. Dickinson and S. L. Velani (2006) Measure theoretic laws for limsup sets. : Memoirs of the AMS - Volume 179.

    Peer Reviewed Journal

    Year Publication
    2012 N Budarina, D Dickinson and J Yuan (2012) 'On the number of polynomials with small discriminants in the Euclidean and p-adic metrics'. Acta Mathematica Sinica, English Series, 28 :469-476. [DOI] [Full-Text]
    2011 V Bernik, N Budarina and D Dickinson (2011) 'On real and complex roots of integer polynomials in a neighborhood of their small values'. DOKLADY AKADEMII NAUK BELARUSI, 55 .
    2008 Natalia Budarina and Detta Dickinson (2008) 'Simultaneous Diophantine approximation of integral polynomials in different metrics'. CHEBYSHEVSKII SBORNIK, 9 :169-184. [Full-Text]
    2007 V. I. Bernik, N. Budarina and D. Dickinson (2007) 'Khintchine's theorem and the approximation of zero by the values of integer polynomials in different metrics'. Doklady Mathematics, 75 :201-203.
    2007 V. Bernik, N. Budarina and D. Dickinson (2007) 'Simultaneous approximation of real and complex numbers by algebraic numbers of a special kind'. TRUDY INSTITUTA MATEMATICA, 15 :3-9.
    2007 V. Bernik, N. Budarina and D. Dickinson (2007) 'p-adic Diophantine approximation on the Veronese curve with a non-monotonic error'. TRUDY INSTITUTA MATEMATICA, 15 :98-104.
    2007 V. Bernik, N. Budarina and D. Dickinson (2007) 'Khintchine's theorem and simultaneous Diophantine approximation of zero by the values of integer polynomials in R*C'. Vesti NAN Belarusi, Ser. Fiz-mat nauk, 2 :48-52.
    2006 N. Budarina and D. Dickinson (2006) 'Simultaneous Diophantine approximation on surfaces defined by polynomial expressions x_1^d +...+x_m^d'. ANALYTIC AND PROBABILISTIC METHODS IN NUMBER THEORY, (Vilnius) :1-7.
    2001 D. Dickinson and M. M. Dodson (2001) 'Simultaneous Diophantine approximation on the circle'. Mathematical Proceedings of the Cambridge Philosophical Society, 130 :513-522.
    2001 V. Beresnevitch, D. Dickinson and S. L. Velani (2001) 'Sets of exact 'logarithmic' order in the theory of Diophantine approximation'. MATHEMATISCHES ANNALEN, 321 :253-273. [Full-Text]
    2000 V. Beresnevich, V. I. Bernik, D. Dickinson and M. M. Dodson (2000) 'On linear manifolds for which the Khinchin approximation theorem holds'. Vesti Nats Akad. Navuk Belaruis Ser. Fiz.-mat. Navuk, 2 :14-17.
    2000 D. Dickinson and M. M. Dodson (2000) 'Extremal manifolds and Hausdorff dimension'. Duke Mathematical Journal, 101 :271-281. [DOI] [Full-Text]
    2000 D. Dickinson and B. P. Rynne (2000) 'Hausdorff dimension and a generalized form of simultaneous Diophantine approximation'. Acta Arithmetica, 93 :21-36. [Full-Text]
    2000 D. Dickinson and Jin Yuan (2000) 'Apery sequences and Legendre transforms'. Journal of the Australian Mathematical Society, 68 :349-356. [DOI] [Full-Text]
    1999 V. I. Bernik, D. Dickinson and Jin Yuan (1999) 'Inhomogeneous Diophantine approximation on polynomial curves in Q_p'. Acta Arithmetica, 90 :37-48. [Full-Text]
    1999 V. V. Beresnevich, V. I. Bernik, D. Dickinson and M. M. Dodson (1999) 'The Khintchine-Groshev theorem for planar curves'. PROCEEDINGS OF THE ROYAL SOCIETY A, 455 :3053-3063. [Full-Text]
    1999 D. Dickinson, M. M. Dodson and Jin Yuan (1999) 'Hausdorff dimension and p-adic Diophantine approximation'. Indagationes Mathematicae-New Series, 10 :337-347. [DOI] [Full-Text]
    1998 V. I. Bernik, D. Dickinson and M. M. Dodson (1998) 'A Khtinchine-type version of Schmidt's theorem for planar curves'. PROCEEDINGS OF THE ROYAL SOCIETY A, 454 :179-185. [DOI] [Full-Text]
    1998 V. I. Bernik, D. Dickinson and M. M. Dodson (1998) 'Approximation of real numbers by values of integer polynomials'. DOKLADY AKADEMII NAUK BELARUSI, 42 :51-54.
    1997 D. Dickinson (1997) 'A note on the theorem of Jarnik-Besicovitch'. Glasgow Mathematical Journal, 39 :233-236. [Full-Text]
    1997 D. Dickinson and S. L. Velani (1997) 'Hausdorff measure and linear forms'. JOURNAL REINE ANGEW MATHEMATIK, 490 :1-36. [DOI]
    1994 D. Dickinson (1994) 'The Hausdorff dimension of sets arising in Diophantine approximation'. Acta Arithmetica, 53 :133-140.
    1993 D. Dickinson (1993) 'The Hausdorff dimension of systems of simultaneously small linear forms'. Mathematika, 40 :367-374. [DOI] [Full-Text]

    Conference Contribution

    Year Publication
    2009 Evgeniy Zorin (2009) Mixed Diophantine approximation Institut Mathematiques de Jussieu, Science and Engineering, Mathematics, .
    2009 Professor Basil Bernik (2009) Diophantine approximation on manifolds Academy of Sciences, Belarus, Science and Engineering, Mathematics, .
    2009 D. Dickinson (2009) Diophantine approximation on y=x^3 Conference in Honour of Professor Kuznetsov Khabarovsk, Russia, .
    2001 D. Dickinson (2001) Invited speaker Diophantine approximation on polynomial curves Manchester University, 04/01/2001-04/01/2001.
    2001 D. Dickinson (2001) BMC Diophantine approximation on polynomial curves Glasgow, 03/01/2001-03/01/2001.

    Book Review

    Year Publication
    2005 Yann Bugeaud (2005) BREV
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