2 papers
math.DS2026
Complex dynamics perspective for birational maps of the plane arising from cluster algebra mutations
Andrei Grigorev, Krishna Chaitanya Kalidindi, Andres Quintero Santander +1
Using the methods of holomorphic dynamics we investigate planar birational mappings that arise from the theory of cluster algebras and integrable systems. Computing dynamical degre…
math.DS2026
On the Holomorphic and Random Dynamics for some examples of higher rank Free Groups generated by Hénon type maps
Andres Enrique Quintero Santander
We study the Holomorphic and Random Dynamics of some rank 2 free groups generated by two Hénon type maps. For these simply constructed examples we prove that the Fatou set is non-e…