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 Giulianno de Camargo Pimentel. Huzihiro Araki and Patrick D. F. Ion. On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems. Commun. Math. Phys. 35, 1–12 (1974).
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).