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Equilibrium states for interval maps: the potential $-t\log |Df|$ by Bruin, Henk; Todd, Mike is a scholarly article available to read on EtoBox.

What is Equilibrium states for interval maps: the potential $-t\log |Df|$ about?

Let $f:I \to I$ be a $C^2$ multimodal interval map satisfying polynomial growth of the derivatives along critical orbits. We prove the existence and uniqueness of equilibrium states for the potential $\phi_t:x\mapsto -t\log|Df(x)|$ for $t$ close to 1, and also that the pressure function $t \mapsto P(\phi_t)$ is analytic on an appropriate interval near $t = 1$.

Author

Bruin, Henk; Todd, Mike

Published

2007

Language

EN