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math.DS2007
Endomorphisms of the plane preserving a pencil of curves
Marius Dabija, Mattias Jonsson
We classify endomorphisms of the plane that preserve a pencil of curves.
math.DS2001
Brolin's Theorem for curves in two complex dimensions
Charles Favre, Mattias Jonsson
Given a holomorphic selfmap f of the complex projective plane of algebraic degree at least 2, we give sufficient conditions on a positive closed (1,1) current S of unit mass under…
math.DS1998
Regular Polynomial Endomorphisms of C^k
Eric Bedford, Mattias Jonsson
We study the dynamics of polynomial mappings f:C^k to C^k of degree at least 2 that extend continuously to projective space P^k. Our approach is to study the dynamics near the hype…