34 citations · 52 across the 4 of their papers we have counts for
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math.DS2012
The Pentagram map in higher dimensions and KdV flows
Boris Khesin, Fedor Soloviev
We extend the definition of the pentagram map from 2D to higher dimensions and describe its integrability properties for both closed and twisted polygons by presenting its Lax form…
math.DS2012
Integrability of higher pentagram maps
Boris Khesin, Fedor Soloviev
We define higher pentagram maps on polygons in for any dimension , which extend R.Schwartz's definition of the 2D pentagram map. We prove their integrability by presenting…