31 citations · 140 across the 29 of their papers we have counts for
4 papers · 2 filters
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…
Hidden Gibbs measures on shift spaces over countable alphabets
Godofredo Iommi, Camilo Lacalle, Yuki Yayama
We study the thermodynamic formalism for particular types of sub-additive sequences on a class of subshifts over countable alphabets. The subshifts we consider include factors of i…
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…
Time change for flows and thermodynamic formalism
Italo Cipriano, Godofredo Iommi
This paper is devoted to study how do thermodynamic formalism quantities varies for time changes of suspension flows defined over countable Markov shifts. We prove that in general…