A Besicovitch set in AG(n; q) is a set of points containing a line in every direction. The Kakeya problem is to determine the minimal size of such a set. We solve the Kakeya problem in the plane, and substantially improve the known bounds for n > 4
Let L be a set of lines of an affine space over a field and let S be a set of points with the proper...
A (k, m)-Furstenberg set S subset of F-q(n) over a finite field is a set that has at least m points ...
The authors present a new example of a small Kakeya set in the affine plane AG(2,q) and they give th...
A Besicovitch set in AG(n; q) is a set of points containing a line in every direction. The Kakeya pr...
AbstractA two-dimensional Besicovitch set over a finite field is a subset of the finite plane contai...
A Kakeya, or Besicovitch, set in a vector space is a set which contains a line in every direction. T...
Let AG(n,q) the n-dimensional affine space over a finite field with q elements. A Kakeya set is a po...
Kakeya sets in the affine plane AG(2; q) are point sets that are the union of lines, one through eve...
Kakeya sets in the affine plane $\mathrm AG (2,q)$ are point sets that are the union of lines, one t...
A Besicovitch set is a subset of R d that contains a unit line segment in every direction and the fa...
Let L be a set of lines of an affine space over a field and let S be a set of points with the proper...
A (k, m)-Furstenberg set S subset of F-q(n) over a finite field is a set that has at least m points ...
The authors present a new example of a small Kakeya set in the affine plane AG(2,q) and they give th...
A Besicovitch set in AG(n; q) is a set of points containing a line in every direction. The Kakeya pr...
AbstractA two-dimensional Besicovitch set over a finite field is a subset of the finite plane contai...
A Kakeya, or Besicovitch, set in a vector space is a set which contains a line in every direction. T...
Let AG(n,q) the n-dimensional affine space over a finite field with q elements. A Kakeya set is a po...
Kakeya sets in the affine plane AG(2; q) are point sets that are the union of lines, one through eve...
Kakeya sets in the affine plane $\mathrm AG (2,q)$ are point sets that are the union of lines, one t...
A Besicovitch set is a subset of R d that contains a unit line segment in every direction and the fa...
Let L be a set of lines of an affine space over a field and let S be a set of points with the proper...
A (k, m)-Furstenberg set S subset of F-q(n) over a finite field is a set that has at least m points ...
The authors present a new example of a small Kakeya set in the affine plane AG(2,q) and they give th...
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