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Department of Pure Mathematics and Mathematical Statistics

Research Interests:

Publications

Dimension of ergodic measures projected onto self‐similar sets with overlaps
T Jordan, A Rapaport
– Proceedings of the London Mathematical Society
(2020)
plms.12337
Hausdorff Dimension of Planar Self-Affine Sets and Measures with Overlaps
M Hochman, A Rapaport
(2019)
Hausdorff dimension of planar self-affine sets and measures
B Bárány, M Hochman, A Rapaport
– Inventiones mathematicae
(2019)
216,
601
A dimension gap for continued fractions with independent digits—the non stationary case
A Rapaport
– Israel Journal of Mathematics
(2018)
227,
911
On self-affine measures with equal Hausdorff and Lyapunov dimensions
A Rapaport
– Transactions of the American Mathematical Society
(2018)
370,
4759
A self-similar measure with dense rotations, singular projections and discrete slices
A Rapaport
– Advances in Mathematics
(2017)
321,
529
Poisson and compound Poisson approximations in conventional and nonconventional setups
Y Kifer, A Rapaport
– Probability Theory and Related Fields
(2013)
160,
797

Room

C2.08

Telephone

01223 337974