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arXiv · 2602.18366

Entropy Density of Ergodic Nonadapted Measures for Markov Interval Maps

Łukasz Krzywoń
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Abstract

Given a uniformly expanding transitive Markov interval map, we show that within the set of ergodic measures the set of nonadapted ergodic measures is residual in with respect to the topology induced by the $\overline{d}$-metric. This set of measures is also shown to be path connected in many cases.

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Łukasz Krzywoń. 2026-02-20. Entropy Density of Ergodic Nonadapted Measures for Markov Interval Maps. https://arxiv.org/abs/2602.18366

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