Orateur
Max WEINREICH
(CUNY Baruch College)
Description
Skew pentagram maps act on polygons by intersecting diagonals of different lengths. They were introduced by Khesin-Soloviev in 2015. In this paper, we show that certain skew pentagram maps have exponential degree growth and no preserved fibration. We show that the dynamical degree of any equal-length pentagram map is 1, but that there are infinitely many skew pentagram maps with dynamical degree 4.