Ruelle operator for continuous potentials and DLR-Gibbs measures
In this work we study the Ruelle Operator associated to a continuous potential defined on a
countable product of a compact metric space. We prove a generalization of Bowen's criterion …
countable product of a compact metric space. We prove a generalization of Bowen's criterion …
Interactions, specifications, DLR probabilities and the Ruelle operator in the one-dimensional lattice
L Cioletti, AO Lopes - arXiv preprint arXiv:1404.3232, 2014 - arxiv.org
In this paper, we describe several different meanings for the concept of Gibbs measure on
the lattice $\mathbb {N} $ in the context of finite alphabets (or state space). We compare and …
the lattice $\mathbb {N} $ in the context of finite alphabets (or state space). We compare and …
Thermodynamic Formalism for Topological Markov Chains on Borel Standard Spaces
L Cioletti, EA Silva, M Stadlbauer - arXiv preprint arXiv:1810.03757, 2018 - arxiv.org
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 …
sequence space $ X\equiv E^{\mathbb {N}} $, where $ E $ is a general Borel standard …
A variational principle for the specific entropy for symbolic systems with uncountable alphabets
D Aguiar, L Cioletti, R Ruviaro - Mathematische Nachrichten, 2018 - Wiley Online Library
A variational principle for the specific entropy for symbolic systems with uncountable alphabets -
Aguiar - 2018 - Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to …
Aguiar - 2018 - Mathematische Nachrichten - Wiley Online Library Skip to Article Content Skip to …
On the dimension of the space of harmonic functions on transitive shift spaces
L Cioletti, L Melo, R Ruviaro, EA Silva - Advances in Mathematics, 2021 - Elsevier
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 …
the dimension of the space of harmonic functions (SHF) for a transfer operator. This is …
An Invariance Principle for a Random Walk Among Moving Traps via Thermodynamic Formalism
We consider a random walk among a Poisson cloud of moving traps on ${\mathbb Z}^ d $,
where the walk is killed at a rate proportional to the number of traps occupying the same …
where the walk is killed at a rate proportional to the number of traps occupying the same …
The double transpose of the ruelle operator
In this paper we study the double transpose of the $ L^ 1 (X,\mathscr {B}(X),\nu) $-
extensions of the Ruelle transfer operator $\mathscr {L} _ {f} $ associated to a general real …
extensions of the Ruelle transfer operator $\mathscr {L} _ {f} $ associated to a general real …
Some Probabilistic Properties of General Topological Markov Chains
EA Silva, EG Mesquita, E Matias - arXiv preprint arXiv:2310.01697, 2023 - arxiv.org
In this paper, we utilize the framework of Markov processes to attain a more probabilistic
perspective on the theory of transfer operators. In doing so, we establish a functional central …
perspective on the theory of transfer operators. In doing so, we establish a functional central …
A Ruelle operator for holomorphic correspondences
S Sridharan - arXiv preprint arXiv:2409.11085, 2024 - arxiv.org
In this paper, we extend the ideas of certain notions that one studies in thermodynamic
formalism of maps to the context when the dynamics in the phase space evolves by complex …
formalism of maps to the context when the dynamics in the phase space evolves by complex …
[PDF][PDF] Some Probabilistic Properties of General Topological Markov Chains
EA Silva, EG Mesquita, E Matias - arXiv e-prints, 2023 - researchgate.net
In this paper, we utilize the framework of Markov processes to attain a more probabilistic
perspective on the theory of transfer operators. In doing so, we establish a functional central …
perspective on the theory of transfer operators. In doing so, we establish a functional central …