Polygonal dynamics on projective spaces exhibit collapsing to a limit point expressible via roots of d+1 degree polynomials, proven in select cases and conjectured generally, with applications to P1 systems and a new staircase cross-ratio dynamics.
The Algebraic Dynamics of the Pentagram Map
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Collapsing in polygonal dynamics
Polygonal dynamics on projective spaces exhibit collapsing to a limit point expressible via roots of d+1 degree polynomials, proven in select cases and conjectured generally, with applications to P1 systems and a new staircase cross-ratio dynamics.