Publications

Main interests

My research interests are related to statistical mechanics and combinatorics.

Statistical mechanics: Ising models, Phase Transition, g-measures.

Thermodynamic Formalism: Infinite DLR measure, Conformal measure, Volume-type Phase Transition

Combinatorics: Graph Theory, Analytic Combinatorics, Generating Functions.

Co-authors

- Lucas Affonso (University of São Paulo, Brazil)

- Noga Alon (Tel Aviv University, Israel)

- Elmer Beltrán (National University of Moquegua, Peru)

- Rodrigo Bissacot (University of São Paulo, Brazil)

- Aernout C.D. van Enter (University of Groningen, the Netherlands)

- Satoshi Handa (Fujitsu Laboratories Ltd., Japan)

- Bruno Kimura (University of Hokkaido, Japan)

- Vlad Margarint (North Carolina Charlotte, USA)

- Arnaud Le Ny (Université Paris-Est, France)

- Wioletta M. Ruszel (University of Delft, the Netherlands) 

- Daniel Valesin (University of Warwick, UK)

Publications

1. Local Central Limit Theorem for Long-Range Two-Body Potentials at Sufficiently High Temperatures. Journal of Statistical Physics. V. 189, Issue 34, 2022   (with Vlad Margarint) (Journal) (arXiv)

2. Infinite DLR Measures and Volume-Type Phase Transitions on Countable Markov Shifts. Nonlinearity. V. 34, Issue 7, p. 4819--4843, 2021 (with Elmer Beltrán and Rodrigo Bissacot) (Journal) (arXiv)

3. The roles of random boundary conditions in spin systems. In: Vares M.E., Fernández R., Fontes L.R., Newman C.M. (eds) In and Out of Equilibrium 3: Celebrating Vladas Sidoravicius. Progress in Probability, vol 77. Birkhäuser, Cham. , 2021 (with Aernout van Enter and Arnaud Le Ny) (Journal) (arXiv)

4. Local limits of spatial Gibbs random graphs. ALEA, Lat. Am. J. Probab. Math. Stat. V. 17, p. 51--63, 2020 (with Daniel Valesin) (Journal) (arXiv)

5. Dyson Models Under Renormalization and in Weak Fields. Sojourns in Probability and Statistical Physics - I, Springer Nature Singapore Pte Ltd., 2019  (with Rodrigo Bissacot, Aernout van Enter, Bruno Kimura, Arnaud Le Ny, and Wioletta Ruszel). (Journal) (arXiv)

6. Entropic repulsion and lack of the $g$-measure property for Dyson models. Communications in Mathematical Physics, V. 363, Issue 3, p.767--788, 2018  (with Rodrigo Bissacot, Aernout van Enter, and Arnaud Le Ny). (Journal) (arXiv)

7. Contour methods for long-range Ising models: weakening nearest-neighbor interactions and adding decaying fields. Annales Henri Poincaré, V. 19, Issue 8, p. 2557--2574, 2018 (with Rodrigo Bissacot, Aernout van Enter, Bruno Kimura, and Wioletta Ruszel). (Journal) (arXiv)

8. Stability of the Phase Transition of Critical-Field Ising Model on Cayley trees under Inhomogeneous External Fields. Stochastic Processes and their Applications, V. 107, Issue 12, p. 4126--4138, 2017 (with Rodrigo Bissacot and Aernout van Enter) (Journal) (arXiv)

9. Counting Contours on Trees. Letters in Mathematical Physics, V. 107, Issue 5, p. 887--899, 2017 (with Noga Alon and Rodrigo Bissacot) (Journal) (arXiv)

Accepted:

Submitted:

1.  On Long-Range Ising Models with Random Boundary Conditions (with Aernout van Enter and Arnaud Le Ny) (Journal) (arXiv)

2.  Long-Range Ising Model: Contours, Phase Transitions and Decaying Fields (with Lucas Affonso, Rodrigo Bissacot, and Satoshi Handa) (Journal) (arXiv)

Ph. D. Thesis:

Gibbs Measures for Models on Lines and Trees (link). This thesis received the cum laude from the University of Groningen.

Master Dissertation:

Aproximação da Norma de Corte via Desigualdade de Grothendieck (link) (in portuguese)