## 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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