Pesin theory and equilibrium measures on the interval
Neil Dobbs
TL;DR
This paper applies Pesin theory to analyze equilibrium measures for interval maps that are piecewise monotone and may have unbounded derivatives, advancing understanding of their ergodic properties.
Contribution
It introduces a novel application of Pesin theory to interval maps with unbounded derivatives to identify equilibrium measures.
Findings
Characterization of equilibrium measures for piecewise monotone maps.
Extension of Pesin theory to maps with unbounded derivatives.
Insights into the ergodic properties of such interval maps.
Abstract
We use Pesin theory to study possible equilibrium measures for piecewise monotone maps of the interval. The maps may have unbounded derivative.
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