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Filtering by: Creator Tucker, Thomas J. Creator Petsche, Clayton

A dynamical pairing between two rational maps

Creator:

Petsche, Clayton, Szpiro, Lucien, and Tucker, Thomas J.

Abstract:

Given two rational maps φ and ψ on Ρ¹ of degree at least two, we study a symmetric, nonnegative real-valued pairing〈φ, ψ〉which is closely related to the canonical height functions hφ and hψ associated to these maps. Our main results show a strong connection between the value of〈φ, ψ〉and the...

Resource Type:

Article