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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.PR2023
Weak quenched limit theorems for a random walk in a sparse random environment
Dariusz Buraczewski, Piotr Dyszewski, Alicja Kołodziejska
We study the quenched behaviour of a perturbed version of the simple symmetric random walk on the set of integers. The random walker moves symmetrically with an exception of some r…