Publications
Copyright Notice: Any articles made available for download are for personal use only. Any other use requires prior permission of the author and the copyright holder.
| 2023 | 2022 | 2021 | 2019 | 2018 | 2016 | 2013 |
2023
- Allen D, Daviaud E. (2023) A survey of recent extensions and generalisations of the Mass Transference Principle. [PDF]
- Allen D, Ramirez FA. (2023) Inhomogeneous approximation for systems of linear forms with primitivity constraints. [PDF]
- Allen D, Baker S, Chow S, Yu H. (2023) A note on dyadic approximation in Cantor's set, Indagationes Mathematicae, volume 34, no. 1, pages 190-197, DOI:10.1016/j.indag.2022.11.002.
- Allen D, Chow S, Yu H. (2023) Dyadic approximation in the middle-third Cantor set, Selecta Mathematica, New Series, volume 29, no. 1, DOI:10.1007/s00029-022-00814-x.
2022
- Allen D, Baker S, Bárány B. (2022) Recurrence rates for shifts of finite type. [PDF]
- Allen D, Ramírez FA. (2022) Independence Inheritance and Diophantine Approximation for Systems of Linear Forms, International Mathematics Research Notices, volume 2023, no. 2, pages 1760-1794, DOI:10.1093/imrn/rnac152. [PDF]
2021
- Allen D, Bárány B. (2021) ON THE HAUSDORFF MEASURE OF SHRINKING TARGET SETS ON SELF‐CONFORMAL SETS, Mathematika, volume 67, no. 4, pages 807-839, DOI:10.1112/mtk.12106.
- Allen D, Wang B. (2021) A note on weighted simultaneous Diophantine approximation on manifolds. [PDF]
2019
- Allen D, Baker S. (2019) A general mass transference principle, SELECTA MATHEMATICA-NEW SERIES, volume 25, no. 3, article no. ARTN 39, DOI:10.1007/s00029-019-0484-9. [PDF]
- Allen D, Troscheit S. (2019) The Mass Transference Principle: Ten years on, DOI:10.1090/conm/731/14670.
2018
- Allen D, Beresnevich V. (2018) A mass transference principle for systems of linear forms and its applications, COMPOSITIO MATHEMATICA, volume 154, no. 5, pages 1014-1047, DOI:10.1112/S0010437X18007121. [PDF]
2016
- Allen D, Edwards H, Harper S, Olsen L. (2016) Average distances on self-similar sets and higher order average distances of self-similar measures, Mathematische Zeitschrift, volume 287, no. 1-2, pages 287-324, DOI:10.1007/s00209-016-1826-3.
2013
- Allen D, Arthur C, Dougall R, Edwards H, Olsen L, Véges M. (2013) No-where averagely differentiable functions: Baire category and the Takagi function, Monatshefte für Mathematik, volume 172, no. 1, pages 1-27, DOI:10.1007/s00605-013-0485-2.
