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Jonas Azzam
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Rectifiability of harmonic measure
J Azzam, S Hofmann, JM Martell, S Mayboroda, M Mourgoglou, X Tolsa, ...
Geometric and Functional Analysis 26, 703-728, 2016
126*2016
Characterization of n-rectifiability in terms of Jones’ square function: Part II
J Azzam, X Tolsa
Geometric and Functional Analysis 25 (5), 1371-1412, 2015
1132015
A new characterization of chord-arc domains
J Azzam, S Hofmann, JM Martell, K Nyström, T Toro
J. Eur. Math. Soc 19 (4), 967–981, 2017
982017
Harmonic measure and quantitative connectivity: geometric characterization of the -solvability of the Dirichlet problem
J Azzam, S Hofmann, JM Martell, M Mourgoglou, X Tolsa
arXiv preprint arXiv:1907.07102, 2019
792019
An analyst’s traveling salesman theorem for sets of dimension larger than one
J Azzam, R Schul
Mathematische Annalen 370 (3), 1389-1476, 2018
492018
Hard Sard: quantitative implicit function and extension theorems for Lipschitz maps
J Azzam, R Schul
Geometric and Functional Analysis 22 (5), 1062-1123, 2012
482012
Bounded mean oscillation and the uniqueness of active scalar equations
J Azzam, J Bedrossian
Transactions of the American Mathematical Society 367 (5), 3095-3118, 2015
442015
Semi-Uniform Domains and the A Property for Harmonic Measure
J Azzam
International Mathematics Research Notices 2021 (9), 6717-6771, 2021
392021
Mutual absolute continuity of interior and exterior harmonic measure implies rectifiability
J Azzam, M Mourgoglou, X Tolsa
Communications on Pure and Applied Mathematics 70 (11), 2121-2163, 2017
302017
On a two-phase problem for harmonic measure in general domains
J Azzam, M Mourgoglou, X Tolsa, A Volberg
American Journal of Mathematics 141 (5), 1259-1279, 2019
272019
Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket
J Azzam, MA Hall, RS Strichartz
TRANSACTIONS-AMERICAN MATHEMATICAL SOCIETY 360 (4), 2089, 2008
252008
Wasserstein distance and the rectifiability of doubling measures: part I
J Azzam, G David, T Toro
Mathematische Annalen 364 (1), 151-224, 2016
232016
Quantitative comparisons of multiscale geometric properties
J Azzam, M Villa
Analysis & PDE 14 (6), 1873-1904, 2021
222021
Absolute continuity of harmonic measure for domains with lower regular boundaries
M Akman, J Azzam, M Mourgoglou
Advances in Mathematics 345, 1206-1252, 2019
212019
Singular sets for harmonic measure on locally flat domains with locally finite surface measure
J Azzam, M Mourgoglou, X Tolsa
International Mathematics Research Notices 2017 (12), 3751-3773, 2017
202017
Sets of absolute continuity for harmonic measure in NTA domains
J Azzam
Potential analysis 45, 403-433, 2016
192016
Tangent measures of elliptic measure and applications
J Azzam, M Mourgoglou
Analysis & PDE 12 (8), 1891-1941, 2019
172019
Characterization of rectifiable measures in terms of 𝛼-numbers
J Azzam, X Tolsa, T Toro
Transactions of the American Mathematical Society 373 (11), 7991-8037, 2020
152020
A two-phase free boundary problem for harmonic measure and uniform rectifiability
J Azzam, M Mourgoglou, X Tolsa
Transactions of the American Mathematical Society 373 (6), 4359-4388, 2020
142020
A quantitative metric differentiation theorem
J Azzam, R Schul
Proceedings of the American Mathematical Society 142 (4), 1351-1357, 2014
142014
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