Abstract Using methods from Convex Analysis, for each generalized pressure function we
define an upper semi-continuous affine entropy-like map, establish an abstract variational …

We develop a Thermodynamic Formalism for bounded continuous potentials defined on the
sequence space $ X\equiv E^{\mathbb {N}} $, where $ E $ is a general Borel standard …

In this paper, we show a new relation between phase transition in Statistical Mechanics and
the dimension of the space of harmonic functions (SHF) for a transfer operator. This is …

In this paper we study some aspects of thermodynamic formalism, more specifically
topological pressure and, as a consequence, topological entropy for piecewise smooth …

In this paper we use a recent version of the Ruelle-Perron-Frobenius Theorem to compute,
in terms of the maximal eigendata of the Ruelle operator, the pressure derivative of …

This paper introduces an intrinsic theory of Thermodynamic Formalism for Iterated Functions
Systems with general positive continuous weights (IFSw). We study the spectral properties of …

Using methods from Convex Analysis, for each generalized pressure function we define an
upper semi-continuous affine entropy-like map, establish an abstract variational principle for …

Nesta tese de doutorado analisamos os dados espectrais do operador de Ruelle L e de sua
extensão ao espaço L 1 (ν), aqui denotada por L. Para tal, nossa abordagem principal é a …

We develop a Thermodynamic Formalism for bounded continuous potentials defined on the
sequence space x≡ EN, where E is a general Borel standard space. In particular, we …

In this seminar, we introduce a Markov process as the action of a positive operator that is
also a contraction on a suitable L1 space. We compare this definition, due to Hopf, with the …