Official webpage of this course at the University of São Paulo. (in Portuguese)
Classes: Tuesday 16:00 - 18:00
Thursday 14:00 - 16:00
Room: 243 - Building A
Papers to students:
César da Silva Júnior. Paul Hulse. Bernoulli Gibbs states for amenable group actions. Dynamical. Systems, 30(2):137–148, 2015.
Felippe Montibeller e Luiza Lucchetti. Piet Lammers and Sébastien Ott. Delocalisation and absolute-value-FKG in the solid-on-solid model. Probab. Theory Relat. Fields. 188, 63–87 (2024).
Gabriel Meneghel e Gael Leis Barros.
Books, thesis, and lectures notes:
- Probability measures on metric spaces. Onno van Gaans, (2002/2003).
- Statistical Mechanics of Lattice Systems: A Concrete Mathematical Introduction. Sacha Friedli and Yvan Velenik. Cambridge University Press, (2017).
- Statistical Mechanics of Disorder Systems - A Mathematical Perspective. Anton Bovier. Cambridge Series in Statistical and Probabilistic Mathematics, (2006).
- A Course on Large Deviations with an Introduction to Gibbs Measures. Firas Rassoul-Agha and Timo Seppalainen, (2010).
- Statistical Mechanics: Rigorous Results. David Ruelle. World Scientific, (1999).
- Gibbs Measures and Phase Transitions(Second Edition). Hans-Otto Georgii. De Gruyter Studies in Mathematics; 9. Walter de Gruyter & Co; (2011).
- Introduction to (generalized) Gibbs Measures. Arnaud Le Ny. Ensaios Matemáticos. Vol. 15, 1-126. SBM, (2008).
- Entropy, Large Deviations, and Statistical Mechanics. Richard S. Ellis. Classics in Mathematics. Springer-Verlag, (2006).
- The statistical mechanics of lattice gases. B. Simon. Vol. I. Princeton Series in Physics. Princeton University Press, Princeton, NJ, (1993).
- Quantum Physics: A Functional Integral Point of View. J. Glimm & A. Jaffe. Springer-Verlag, (1981).
- Interacting particle systems on graphs. Nazim Hikmet Tekmen. PhD thesis, Bielefeld University, (2010).
- Convexity in the Theory of Lattice Gases. Robert B. Israel. Princeton University Press, (1979).
- Introdução a Teoria das Medidas de Gibbs. Rodrigo Bissacot e Leandro Cioletti. Notas de aula, (2012).