Leandro Cioletti

Spectral Triples on Thermodynamic Formalism and Dixmier Trace Representations of Gibbs Measures: Theory and Examples.

with L. Hataishi, A. O. Lopes, M. Stadlbauer

Nonlinearity, V. 37, N. 10 - 105010 (56 pp), 2024.

Double Transpose of the Ruelle Operator.

with A. van Enter and R. Ruviaro

Monatshefte für Mathematik, V. 200, 523-544, 2023.

On the Dimension of the Space of Harmonic Functions on Transitive Shift Spaces.

with L. Melo, R. Ruviaro and E. A. Silva

Advances in Mathematics, V. 385, 107758, 2021.

Ruelle Operator for Continuous Potentials and DLR-Gibbs Measures.

with A.O. Lopes and M. Stadlbauer

Discrete and Continuous Dynamical Systems - Series A, V. 40, N. 8, 4625–4652, 2020.

Thermodynamic Formalism for Topological Markov Chains on Standard Borel Spaces.

with E. A. Silva and M. Stadlbauer

Discrete and Continuous Dynamical Systems - Series A, V. 39, N. 11, 6277-6298, 2019.

Correlation Inequalities and Monotonicity Properties of the Ruelle Operator.

with A. Lopes

Stochastics and Dynamics, V. 19, N. 6, 1950048-31, 2019.

Applications of Variable Discounting Dynamic Programming to Iterated Function Systems and Related Problems.

with Elismar R. Oliveira

Nonlinearity, V. 32, N. 3, 853-883, 2019.

A Variational Principle for the Specific Entropy for Symbolic Systems with Uncountable Alphabets.

with D. Aguiar and R. Ruviaro

Mathematische Nachrichten, V. 272, Issue 17-18, 2506-2515, 2018.

Spectral Properties of the Ruelle Operator for Product Type Potentials on Shift Spaces.

with M. Denker, A.O. Lopes and M. Stadlbauer

Journal of the London Mathematical Society, V. 95, Issue 2, p. 684–704, 2017.

Polynomial Identities of Banach Algebras.

with J. A. Freitas and D.J. Gonçalves

Beiträge zur Algebra und Geometrie, V. 58, Number 1, p. 189-194, 2017.

Interactions, Specifications, DLR Probabilities and the Ruelle Operator in the One-Dimensional Lattice.

with A.O. Lopes

Discrete and Continuous Dynamical Systems - Series A, V. 37, N. 2, 6139-6152, 2017.

Spectral Properties of the Ruelle Operator on the Walters Class over Compact Spaces.

with E.A. Silva

Nonlinearity, V. 29, Number 8, p. 2253-2278, 2016.

Graphical Representations for Ising and Potts Models in General External Fields.

with R. Vila

Journal of Statistical Physics, V. 162, Issue 1, p. 81-122, 2016.

Phase Transitions in One-dimensional Translation Invariant Systems: a Ruelle Operator Approach.

with A.O. Lopes

Journal of Statistical Physics, V. 159, Issue 6, p. 1424-1455, 2015.

Phase Transitions in Ferromagnetic Ising Models with spatially dependent magnetic fields.

with R. Bissacot, M. Cassandro and Errico Presutti.

Communications in Mathematical Physics, V. 337, Issue 1, p. 41-53, 2015.

Optimal \(L^1\)-inequalities on Riemannian Manifolds.

with J. Ceccon.

Journal of Mathematical Analysis and its Applications, V. 423, Issue 1, p. 10–17, 2015.

Diffusive-Ballistic Transition in Random Polymers with Drifts and Repulsive Long-Range Interactions.

with S.S. Vasconcelos and C.C.Y. Dorea

Journal of Statistical Physics, V. 156, Issue 4, p. 760-765, 2014.

Polinômios de Lee-Yang com Coeficientes Complexos.

with L. Chiarini and F. Fernandes

Matemática Universitária, V. 52/53, p. 74-88, 2012.

On the General One-Dimensional XY Model: Positive and Zero Temperature, Selection and Non-Selection.

with A.T. Baraviera, A.O. Lopes, J. Mohr, R.R. Souza.

Reviews in Mathematical Physics, V. 23, p. 1063-1113, 2011.

Phase Transition in Ferromagnetic Ising Models with Non-uniform External Magnetic Fields.

with R. Bissacot

Journal of Statistical Physics, V. 139, p. 769-778, 2010.

A Remark on the Decay of Correlations for Mixed-Range Spin Vector Models.

with G. Braga and R. Sanchis

Journal of Statistical Physics, V. 136, p. 195-198, 2009.

Decay Properties of the Connectivity for Mixed Long Range Percolation Models on \(\mathbb{Z}^d\).

with G. Braga and R. Sanchis

Journal of Statistical Physics, V. 129, p. 587-591, 2007.

Tomographic characterization of three-qubit pure states with only two-qubit detectors.

with D. Cavalcanti and M. O. Terra Cunha.

Physical Review A, V. 71, p. 1-3, 2005.

Thermodynamic Formalism for the General One-Dimensional XY Model: Positive and Zero Temperature

with A. T. Baraviera, A. O. Lopes, J. Mengue, J. Mohr and R. R. Souza

Springer — Proceedings in Mathematics & Statistics, Vol. 73, Chapter 7, 2014.

Entropia: Introdução à Teoria Matemática da (des)Informação

with G. Braga, M.O.T. Cunha and B.N.B. Lima

Sociedade Brasileira de Matemática — II Bienal da SBM — Salvador, p. 1–57, 2004.

Uma Abordagem Probabilística para o Problema da Separabilidade de Espaços de Funções Contínuas.

MAT-UnB Lecture Notes in Analysis and Probability

Simetrias e Médias de Quocientes de Somas Parciais.

MAT-UnB Lecture Notes in Analysis and Probability

O Dual Topológico do Espaço da Funções Contínuas Definidas Sobre um Espaço Métrico Compacto.

MAT-UnB Lecture Notes in Analysis and Probability

O Conjunto dos Ordinais Enumeráveis e a Sigma-Álgebra Gerada por uma Coleção.

MAT-UnB Lecture Notes in Analysis and Probability

O Conjunto de Vitali.

MAT-UnB Lecture Notes in Analysis

DLR-Equations for Local Functions and Quasilocality Hypothesis.

with R. Vila.

MAT-UnB Lecture Notes in Probability

O Teorema de Van der Waerden.

MAT-UnB Lecture Notes in Combinatorics

O Teorema de Ramsey e o Último Teorema de Fermat em Corpos Finitos.

with E. A. Silva.

MAT-UnB Lecture Notes in Combinatorics

Cayley-Hamilton Theorem via Cauchy Integral Formula.

MAT-UnB Lecture Notes in Linear Algebra

Leonardo Cavalcanti de Melo

On the Maximal Eigenspace of the Ruelle Operator.

Universidade de Brasília

Period: 2016–2020

Jamer Insupe Roldan Gonzales

Quebra da Simetria da Réplica e Decaimento de Correlações no Modelo de Ising com Campo.

Universidade de Brasília

Period: 2015–2019

Élis Gardel da Costa Mesquita

Formalismo Termodinâmico em Espaços Não-compactos via Transporte Ótimo.

Universidade de Brasília

Period: 2015–2019

Dióscoros Brito Aguiar Júnior

Um Princípio Variacional para a Entropia Específica em Dinâmica Simbólica com Alfabetos Não-enumeráveis.

Universidade de Brasília

Period: 2014–2018

Roberto Vila Gabriel

Representações Gráficas para Sistemas de Spins com Presença de Campo Externo.

Universidade de Brasília

Period: 2012–2016

Eduardo Antonio da Silva

O Operador de Ruelle em Espaços de Estados Compactos.

Universidade de Brasília

Period: 2012–2016

Simone Vasconcelos da Silva

Transição de Fase Difusiva-Balística em Polímeros Aleatórios.

Universidade de Brasília

Period: 2010–2014

Eduardo Cesar da Silva Carvalho

Advisor: Leandro Cioletti

Universidade de Brasília

Period: 2024–

Leandro Chiarini Medeiros

A continuidade da Transição de Fase do Modelo de Ising Tridimensional.

Universidade de Brasília

Period: 2015–2017

Jamer Insupe Roldan Gonzales

O Teorema de Aizenman-Barsky-Fernández e a Unicidade da Temperatura Crítica.

Universidade de Brasília

Period: 2012–2014

Leonardo Cavalcanti de Melo

Magnetização Espontânea em Modelos de Ising Uni-Dimensionais com Interação de Longo Alcance.

Universidade de Brasília

Period: 2012–2014

Josimar Joao Ramirez Aguirre

Ortogonalidade da Função de Möbius.

Universidade de Brasília

Period: 2012–2014

Roberto Vila Gabriel

Cálculo Exato do Ponto Crítico de Modelos de Aglomerados Aleatórios \( (q \geqslant 1)\) sobre a Rede Bidimensional.

Universidade de Brasília

Period: 2011–2013

Elias da Costa

Medidas de Gibbs e o Teorema de Aizenman-Higuchi.

Universidade de Brasília

Period: 2011–2013

Élis Gardel da Costa Mesquita

Localização de Zeros de Somas Parciais de \(e^{z}\) com os Métodos de Problemas de Riemann-Hilbert.

Universidade de Brasília

Period: 2009–2011