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.
- 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)
- Roberto Fernández (NYU Shanghai, China)
- Satoshi Handa (Fujitsu Laboratories Ltd., Japan)
- Bruno Kimura (University of Hokkaido, Japan)
- Vlad Margarint (North Carolina Charlotte, USA)
- Tong Xuan Nguyen (NYU Shanghai, China)
- Arnaud Le Ny (Université Paris-Est, France)
- Wioletta M. Ruszel (University of Delft, the Netherlands)
- Daniel Valesin (University of Warwick, UK)
L. Affonso, R. Bissacot, E.O. Endo, and S. Handa. Long-Range Ising Model: Contours, Phase Transitions and Decaying Fields. J. Eur. Math. Soc. V. 27, no. 4, pp. 1679--1714. 2025. (Journal) (arXiv)
E.O. Endo, V.Margarint. Local Central Limit Theorem for Long-Range Two-Body Potentials at Sufficiently High Temperatures. Journal of Statistical Physics. V. 189, Issue 34, 2022. (Journal) (arXiv)
E. Beltrán, R. Bissacot, and E.O. Endo. Infinite DLR Measures and Volume-Type Phase Transitions on Countable Markov Shifts. Nonlinearity. V. 34, Issue 7, p. 4819--4843, 2021. (Journal) (arXiv)
E.O. Endo, A. van Enter, and A. Le Ny. 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. (Journal) (arXiv)
E.O. Endo and D. Valesin. Local limits of spatial Gibbs random graphs. ALEA, Lat. Am. J. Probab. Math. Stat. V. 17, p. 51--63, 2020. (Journal) (arXiv)
R. Bissacot, E.O. Endo, A. van Enter, B. Kimura, A. Le Ny, and W. Ruszel. Dyson Models Under Renormalization and in Weak Fields. Sojourns in Probability and Statistical Physics - I, Springer Nature Singapore Pte Ltd., 2019. (Journal) (arXiv)
R. Bissacot, E.O. Endo, A. van Enter, and A. Le Ny. Entropic repulsion and lack of the $g$-measure property for Dyson models. Communications in Mathematical Physics, V. 363, Issue 3, p.767--788, 2018. (Journal) (arXiv)
R. Bissacot, E.O. Endo, A. van Enter, B. Kimura, and W. Ruszel. 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. (Journal) (arXiv)
R. Bissacot, E.O. Endo, and A. van Enter. 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. (Journal) (arXiv)
N. Alon, R. Bissacot, and E.O. Endo. Counting Contours on Trees. Letters in Mathematical Physics, V. 107, Issue 5, p. 887--899, 2017. (Journal) (arXiv)
Gibbs Measures for Models on Lines and Trees (link). This thesis received the cum laude from the University of Groningen.
Aproximação da Norma de Corte via Desigualdade de Grothendieck (link) (in portuguese)