The Pentagram Map is Recurrent
Schwartz, Richard Evan
Experiment. Math., Tome 10 (2001) no. 3, p. 519-528 / Harvested from Project Euclid
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The pentagram map is defined on the space of convex $n$-gons (considered up to projective equivalence) by drawing the diagonals that join second-nearest-neighbors in an $n$-gon and taking the new $n$-gon formed by the intersections. We prove that this map is recurrent; thus, for almost any starting polygon, repeated application of the pentagram map will show a near copy of the starting polygon appear infinitely often under various perspectives.
Publié le : 2001-05-14
Classification:  
@article{1069855251,
     author = {Schwartz, Richard Evan},
     title = {The Pentagram Map is Recurrent},
     journal = {Experiment. Math.},
     volume = {10},
     number = {3},
     year = {2001},
     pages = { 519-528},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1069855251}
}

Schwartz, Richard Evan. The Pentagram Map is Recurrent. Experiment. Math., Tome 10 (2001) no. 3, pp.  519-528. http://gdmltest.u-ga.fr/item/1069855251/