A monotonicity conjecture for real cubic maps
Silvina P. Dawson, Roza Galeeva, John W. Milnor, Charles Tresser
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.
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