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math.DS2018
Upper semi-continuity of entropy in non-compact settings
Godofredo Iommi, Mike Todd, Aníbal Velozo
We prove that the entropy map for countable Markov shifts of finite entropy is upper semi-continuous at ergodic measures. Note that the phase space is non-compact. Applications to…
math.DS2018★ 1 cited
Pressure, Poincaré series and box dimension of the boundary
Godofredo Iommi, Aníbal Velozo
In this note we prove two related results. First, we show that for certain Markov interval maps with infinitely many branches the upper box dimension of the boundary can be read fr…