Geodesic
Characterising the big pieces of Lipschitz graphs property using projections
Journal of the European Mathematical Society, Tome 20 (2018) no. 5, pp. 1055-1073 Cet article a éte moissonné depuis la source EMS Press

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We characterise the big pieces of Lipschitz graphs property in terms of projections. Roughly speaking, we prove that if a large subset of an n-Ahlfors–David regular set E⊂Rd has plenty of projections in L2, then a large part of E is contained in a single Lipschitz graph. This is closely related to a question of G. David and S. Semmes.
DOI : 10.4171/jems/782
Classification : 28-XX
Keywords: Projections, Lipschitz graphs, big pieces of sets, uniform rectifiability 
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     author = {Henri Martikainen and Tuomas Orponen},
     title = {Characterising the big pieces of {Lipschitz} graphs property using projections},
     journal = {Journal of the European Mathematical Society},
     pages = {1055--1073},
     year = {2018},
     volume = {20},
     number = {5},
     doi = {10.4171/jems/782},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/782/}
}
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Henri Martikainen; Tuomas Orponen. Characterising the big pieces of Lipschitz graphs property using projections. Journal of the European Mathematical Society, Tome 20 (2018) no. 5, pp. 1055-1073. doi: 10.4171/jems/782

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