Cross-ratio dynamics on ideal polygons

Maxim Arnold, Dmitry Fuchs, Ivan Izmestiev +1

Two ideal polygons, $(p_1,\dots ,p_n)$ and $(q_1,\dots ,q_n)$, in the hyperbolic plane or in hyperbolic space are said to be $\alpha$-related if the cross-ratio $[p_i,p_{i+1},q_i,q_{i+1…