Follow
Ariel Rapaport
Title
Cited by
Cited by
Year
Hausdorff dimension of planar self-affine sets and measures
B Bárány, M Hochman, A Rapaport
Inventiones mathematicae 216, 601-659, 2019
1162019
Hausdorff dimension of planar self-affine sets and measures with overlaps.
M Hochman, A Rapaport
Journal of the European Mathematical Society (EMS Publishing) 24 (7), 2022
472022
On self-affine measures with equal Hausdorff and Lyapunov dimensions
A Rapaport
Transactions of the American Mathematical Society 370 (7), 4759-4783, 2018
23*2018
Poisson and compound Poisson approximations in conventional and nonconventional setups
Y Kifer, A Rapaport
Probability Theory and Related Fields 160, 797-831, 2014
22*2014
Proof of the exact overlaps conjecture for systems with algebraic contractions
A Rapaport
Annales Scientifique de l’ENS 55, 1357-1377, 2022
182022
On the Rajchman property for self-similar measures on Rd
A Rapaport
Advances in Mathematics 403, 108375, 2022
162022
Exact dimensionality and Ledrappier-Young formula for the Furstenberg measure
A Rapaport
Transactions of the American Mathematical Society 374 (7), 5225-5268, 2021
112021
A self-similar measure with dense rotations, singular projections and discrete slices
A Rapaport
Advances in Mathematics 321, 529-546, 2017
102017
Self-similar measures associated to a homogeneous system of three maps
A Rapaport, PP Varjú
Duke Mathematical Journal 173 (3), 513-602, 2024
92024
On self-affine measures associated to strongly irreducible and proximal systems
A Rapaport
arXiv preprint arXiv:2212.07215, 2022
72022
Dimension of ergodic measures projected onto self‐similar sets with overlaps
T Jordan, A Rapaport
Proceedings of the London Mathematical Society 122 (2), 191-206, 2021
72021
Geometric law for multiple returns until a hazard
Y Kifer, A Rapaport
Nonlinearity 32 (4), 1525, 2019
52019
On the Hausdorff and packing measures of slices of dynamically defined sets
A Rapaport
Journal of Fractal Geometry 3 (1), 33-74, 2016
52016
A dimension gap for continued fractions with independent digits—the non stationary case
A Rapaport
Israel Journal of Mathematics 227 (2), 911-930, 2018
42018
Dimension of diagonal self-affine sets and measures via non-conformal partitions
A Rapaport
arXiv preprint arXiv:2309.03985, 2023
12023
On self-similar measures with absolutely continuous projections and dimension conservation in each direction
A Rapaport
Ergodic Theory and Dynamical Systems 40 (12), 3438-3456, 2020
12020
Compound Poisson statistics for multiple returns in shrinking cylinders for mixing processes
A Rapaport
Ergodic Theory and Dynamical Systems 36 (5), 1616-1643, 2016
12016
The system can't perform the operation now. Try again later.
Articles 1–17