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math.CO2023
Random planar trees and the Jacobian conjecture
Elia Bisi, Piotr Dyszewski, Nina Gantert +3
We develop a probabilistic approach to the celebrated Jacobian conjecture, which states that any Keller map (i.e. any polynomial mapping who…
math.CO2019
Faà di Bruno's formula and inversion of power series
Samuel G. G. Johnston, Joscha Prochno
Faà di Bruno's formula gives an expression for the derivatives of the composition of two real-valued functions. In this paper we prove a multivariate and synthesized version of Faà…