Thermodynamic formalism for general iterated function systems with measures

JE Brasil, ER Oliveira, RR Souza - Qualitative theory of dynamical systems, 2023 - Springer
This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems
with Measures (IFSm). We study the spectral properties of the Transfer and Markov …

Level-2 IFS thermodynamic formalism: Gibbs probabilities in the space of probabilities and the push-forward map

AO Lopes, ER Oliveira - Dynamical Systems, 2024 - Taylor & Francis
We will denote by M the space of Borel probabilities on the symbolic space Ω={1, 2⋯, m} N.
M is equipped Monge–Kantorovich metric. We consider here the push-forward map T: M→ …

Set-valued Leader type contractions, periodic point and endpoint theorems, quasi-triangular spaces, Bellman and Volterra equations

K Włodarczyk - Fixed Point Theory and Applications, 2020 - Springer
Set-valued contractions of Leader type in quasi-triangular spaces are constructed,
conditions guaranteeing the existence of nonempty sets of periodic points, fixed points and …

An iterative process for approximating subactions

HH Ferreira, AO Lopes, ER Oliveira - … IV: DGS VI JOLATE, Madrid, Spain …, 2021 - Springer
We describe a procedure based on the iteration of an initial function by an appropriated
operator, acting on continuous functions, in order to get a fixed point. This fixed point will be …

Thermodynamic formalism for iterated function systems with weights

L Cioletti, ER Oliveira - arXiv preprint arXiv:1707.01892, 2017 - arxiv.org
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 …

Thermodynamic formalism for general IFS and quantum channels

JE Brasil - 2022 - lume.ufrgs.br
This chapter is part of [BOS22] and introduces a theory of Thermodynamic Formalism for
Iterated Function Systems with Measures (IFSm). We study the spectral properties of the …

On finite approximations to Markov decision processes with recursive and nonlinear discounting

F Deng, X Guo, Y Zhang - … in Controlled Stochastic Processes: Theory and …, 2021 - Springer
In this paper, finite approximation schemes are justified for Markov decision processes in
Borel spaces with recursive and nonlinear discounting. Explicit error bounds are obtained in …

[PDF][PDF] An algorithm for approximating subactions

HH Ferreira, AO Lopes, ER Oliveira - preprint, 2018 - mat.ufrgs.br
Denote by T the transformation T (x)= 2 x (mod 1). Given a potential A: S1→ R the main
interest in Ergodic Optimization are probabilities µ which maximize∫ A dµ (among invariant …

An iterative process for approximating subactions

HH Ferreira, AO Lopes, ER Oliveira - arXiv preprint arXiv:1809.00704, 2018 - arxiv.org
We describe a procedure based on the iteration of an initial function by an appropriated
operator, acting on continuous functions, in order to get a fixed point. This fixed point will be …

Set-valued Leader type contractions, periodic point and endpoint theorems, quasi-triangular spaces, Bellman and Volterra equations

W Kazimierz - Fixed Point Theory and Algorithms for Sciences …, 2020 - search.proquest.com
Set-valued contractions of Leader type in quasi-triangular spaces are constructed,
conditions guaranteeing the existence of nonempty sets of periodic points, fixed points and …