On the structure of sets of lattice points in the plane with a small doubling property
Structure theory of set addition, Astérisque, no. 258 (1999), pp. 217-240. 
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     title = {On the structure of sets of lattice points in the plane with a small doubling property},
     booktitle = {Structure theory of set addition},
     editor = {Deshouilliers Jean-Marc and Landreau Bernard and Yudin Alexander A.},
     series = {Ast\'erisque},
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     number = {258},
     year = {1999},
     mrnumber = {1701200},
     zbl = {0979.11018},
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Stanchescu, Yonutz V. On the structure of sets of lattice points in the plane with a small doubling property, dans Structure theory of set addition, Astérisque, no. 258 (1999), pp. 217-240. http://www.numdam.org/item/AST_1999__258__217_0/

[B] Bilu Y., Structure of sets with small sumsets, Mathématiques Stochastiques, Univ. Bordeaux 2, Preprint 94-10, 1994.

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