# Continuous limits of generalized pentagram maps

```@article{Nackan2020ContinuousLO,
title={Continuous limits of generalized pentagram maps},
author={Danny Nackan and Romain Speciel},
journal={arXiv: Dynamical Systems},
year={2020}
}```
• Published 1 October 2020
• Mathematics
• arXiv: Dynamical Systems
2 Citations

## Figures from this paper

### Long-diagonal pentagram maps

• Mathematics
• 2022
The pentagram map on polygons in the projective plane was introduced by R. Schwartz in 1992 and is by now one of the most popular and classical discrete integrable systems. In the present paper we

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We define higher pentagram maps on polygons in \$\$\mathbb{P }^d\$\$ for any dimension \$\$d\$\$, which extend R. Schwartz’s definition of the 2D pentagram map. We prove their integrability by presenting Lax

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We propose a new family of natural generalizations of the pentagram map from 2D to higher dimensions and prove their integrability on generic twisted and closed polygons. In dimension \$d\$ there are

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The pentagram map was introduced by R. Schwartz in 1992 for convex planar polygons. Recently, V. Ovsienko, R. Schwartz, and S. Tabachnikov proved Liouville integrability of the pentagram map for

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