@inproceedings{a41b2a92563542808f5e3c28447e68f9,
title = "Geometry and dynamics of the pentagram map",
abstract = "We survey the recent joint work with V. Ovsienko and R. Schwartz on the Pentagram Map, a projectively natural transformation of polygons. The main result is that this map is completely integrable. The Pentagram Map is a geometrically natural discretization of the Boussinesq equation, one of the most popular completely integrable PDEs. We show that the integrability mechanism that works for the Pentagram Map fails for similar projectively natural iterations.",
author = "S. Tabachnikov",
year = "2009",
doi = "10.1063/1.3275590",
language = "English (US)",
isbn = "9780735407282",
series = "AIP Conference Proceedings",
pages = "172--181",
booktitle = "Geometric Methods in Physics - Proceedings of the XXVIII Workshop on Geometric Methods in Physics",
note = "28th Workshop on Geometric Methods in Physics, WGMP 2009 ; Conference date: 28-06-2009 Through 04-07-2009",
}