Raanan Schul, Ph.D.

Mathematics Stony Brook University, Stony Brook, NY, United States 
 2005 Yale University, New Haven, CT 
"Raanan Schul"


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Peter Jones grad student 2005 Yale
 (Subset of rectifiable curves in Hilbert space and the analyst's TSP.)
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Badger M, Schul R. (2017) Multiscale Analysis of 1-rectifiable Measures II: Characterizations Analysis and Geometry in Metric Spaces. 5: 1-39
Azzam J, Schul R. (2017) An analyst’s traveling salesman theorem for sets of dimension larger than one Mathematische Annalen. 370: 1389-1476
Badger M, Schul R. (2015) Multiscale analysis of 1-rectifiable measures: necessary conditions Mathematische Annalen. 361: 1055-1072
Azzam J, Schul R. (2012) How to take shortcuts in Euclidean space: Making a given set into a short quasi-convex set Proceedings of the London Mathematical Society. 105: 367-392
Azzam J, Schul R. (2012) Hard Sard: Quantitative Implicit Function and Extension Theorems for Lipschitz Maps Geometric and Functional Analysis. 22: 1062-1123
Jones PW, Maggioni M, Schul R. (2010) Universal local parametrizations via heat kernels and eigenfunctions of the laplacian Annales Academiae Scientiarum Fennicae Mathematica. 35: 131-174
Schul R. (2009) Bi-lipschitz decomposition of Lipschitz functions into a metric space Revista Matematica Iberoamericana. 25: 521-531
Jones PW, Maggioni M, Schul R. (2008) Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels. Proceedings of the National Academy of Sciences of the United States of America. 105: 1803-8
Schul R. (2007) Subsets of rectifiable curves in Hilbert space-the analyst's TSP Journal D'Analyse Mathematique. 103: 331-375
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