Global knotting in equilateral random polygons

In this paper, we study the knotting probability of equilateral random poly gons. It is known that such objects are locally knotted with probability ar bitrarily close to one provided the length is sufficiently large ([4]) FOP Gaussian random polygons, it has been shown that the probability of global knottedness also tends to one as the length of the polygon tends to infinit y [8]. In this paper, we prove that global knotting also occurs in equilate ral random polygons with a probability approaching one as the length of the polygons goes to infinity.