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A monotonicity conjecture for real cubic maps

Silvina P. Dawson·Roza Galeeva·John W. Milnor·Charles Tresser
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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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Silvina P. Dawson, Roza Galeeva, John W. Milnor, Charles Tresser. 1993-10-30. A monotonicity conjecture for real cubic maps. https://arxiv.org/abs/math/9310235

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