A monotonicity conjecture for real cubic maps

Details A monotonicity conjecture for real cubic maps A monotonicity conjecture for real cubic maps

1993-10-30

arxiv.org/abs/math/9310235v1

Mathematics

Dynamical Systems

Scientific paper

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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