2 papers
math.DS2025
Böttcher-type potential for the secant map
Nicholas Freeman
We present a construction of a Böttcher-type holomorphic map for the potential of the secant method dynamical system near a root-type fixed point. The modulus of the Böttcher-type…
math.PR2018
Extensive Condensation in a model of Preferential Attachment with Fitnesses
Nic Freeman, Jonathan Jordan
We introduce a new model of preferential attachment with fitness, and establish a time reversed duality between the model and a system of branching-coalescing particles. Using this…