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math.DS2022
Moduli spaces of quadratic maps: arithmetic and geometry
Rohini Ramadas
We establish an implication between two long-standing open problems in complex dynamics. The roots of the -th Gleason polynomial comprise the -dimension…
math.DS2019★ 5 cited
Post-Critically Finite Maps on for are Sparse
Patrick Ingram, Rohini Ramadas, Joseph H. Silverman
Let be a morphism of degree . The map is said to be post-critically finite (PCF) if there exist integers and such th…
math.DS2019
Dynamical invariants of monomial correspondences
Nguyen-Bac Dang, Rohini Ramadas
We focus on various dynamical invariants associated to toric correspondences, using algebraic geometry or arithmetic. We find a formula for the dynamical degrees, relate the expone…