Institute for Mathematical Sciences

Preprint ims93-11

Silvina P. Dawson, Roza Galeeva, John Milnor, & Charles Tresser
A Monotonicity Conjecture for Real Cubic Maps.

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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