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math.DS2024★ 2 cited
On some aspects of local thermodynamical formalism
Andrzej Bis, Henk Bruin
In 2007, Ye \& Zhang introduced a version of local topological entropy. Since their entropy function is, as we show under mild conditions, constant for topologically transitive dyn…
math.DS2020★ 2 cited
A convex analysis approach to entropy functions, variational principles and equilibrium states
Andrzej Bis, Maria Carvalho, Miguel Mendes +1
The first aims of this work are to endorse the advent of finitely additive set functions as equilibrium states and the possibility to replace the metric entropy by an upper semi-co…