2020

Bate, David (2020) Purely unrectifiable metric spaces and perturbations of Lipschitz functions. Acta Mathematica, 224 (1). pp. 1-65. doi:10.4310/ACTA.2020.v224.n1.a1

Bate, David and Orponen, Tuomas (2020) Quantitative absolute continuity of planar measures with two independent Alberti representations. Calculus of Variations and Partial Differential Equations, 59 . 72. doi:10.1007/s00526-020-1714-x

2018

Bate, David and Orponen, Tuomas (2018) On the conformal dimension of product measures. Proceedings of the London Mathematical Society, 117 (2). pp. 277-302. doi:10.1112/plms.12130

Bate, David and Li, Sean (2018) Differentiability and Poincaré type inequalities in metric measure spaces. Advances in Mathematics, 333 . pp. 868-930. doi:10.1016/j.aim.2018.06.002

2017

Bate, David, Csornyei, Marianna and Wilson, Bobby (2017) The Besicovitch Federer projection theorem is false in every infinite dimensional Banach space. Israel Journal of Mathematics, 220 (1). pp. 175-188. doi:10.1007/s11856-017-1514-y

Bate, David and Li, Sean (2017) Characterizations of rectifiable metric measure spaces. Annales Scientifiques de l'Ecole Normale Superieure, 50 (1). pp. 1-37. doi:10.24033/asens.2314

2015

Bate, David (2015) Structure of measures in Lipschitz differentiability spaces. Journal of the American Mathematical Society, 28 (2). pp. 421-482. doi:10.1090/S0894-0347-2014-00810-9

2013

Bate, David and Speight, Gareth (2013) Differentiability, porosity and doubling in metric measure spaces. Proceedings of the American Mathematical Society, 141 (3). pp. 971-985. doi:10.1090/S0002-9939-2012-11457-1