vix.ing · top · new · best · stats · spec

A monotonicity conjecture for real cubic maps

1993/10/30 by Dawson, Silvina P., Galeeva, Roza, Milnor, John W. +1
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/9310235

Abstract

This is an outline of work in progress. We study the conjecture that the topological entropy of a real cubic map depends ``monotonely'' on its parameters, in the sense that each locus of constant entropy in parameter space is a connected set. This material will be presented in more detail in a later paper.

Related