Equilateral triangles in subsets of ℝd of large Hausdorff dimension

A szemerédi type theorem for sets of positive density inR k

Jean Bourgain · Israel Journal of Mathematics · 1986 · 112 citations

Natural Sciences, Mathematics, Probability Theory +5

Arithmetic Progressions in Sets of Fractional Dimension

Izabella Łaba, Malabika Pramanik · Geometric and Functional Analysis · 2009 · 104 citations · Full text

Natural Sciences, Mathematics, Algebra +6

A 1-DIMENSIONAL SUBSET OF THE REALS THAT INTERSECTS EACH OF ITS TRANSLATES IN AT MOST A SINGLE POINT

Keleti · Real Analysis Exchange · 1998 · 44 citations

Natural Sciences, Mathematics, Geometry +4

Ubiquity of simplices in subsets of vector spaces over finite fields

Derrick Hart, Alex Iosevich · Analysis Mathematica · 2008 · 36 citations · Full text

Natural Sciences, Computer Science, Representation Theory +5

Full Dimensional Sets Without Given Patterns

Péter Maga · Real Analysis Exchange · 2011 · 36 citations

Natural Sciences, Mathematics, Geometry +7