ICFP M2 - Statistical Physics 2 Selected References

ICFP M2 - Statistical physics 2 Selected references

Gr´egory Schehr, Guilhem Semerjian

January 2020

• Probability theory (stable laws, extreme value distributions)

– J.-P. Bouchaud, A. Georges, Anomalous Diﬀusion in Disordered Media: statistical mechan- ics, models and applications, Phys. Rep. 195 127 (1990). – W. Feller, An introduction to probability theory and its applications, Wiley (1968). – S. Resnick, Extreme values, regular variation and point processes, Springer (1987).

• Spin-glasses

– M. Mézard, G. Parisi, M.A. Virasoro, Spin-glass theory and beyond, World Scientific (1987). – T. Castellani, A. Cavagna, Spin-glass theory for pedestrians, J. Stat. Mech. P05012 (2005), cond-mat/0505032. – F. Zamponi, Mean-field theory of spin glasses, arXiv:1008.4844.

• Glasses

– L. Berthier, G. Biroli, Theoretical perspective on the glass transition and amorphous mate- rials, Rev. Mod. Phys. 83, 587 (2011), arXiv:1011.2578. – A. Cavagna, Supercooled liquids for pedestrians, Physics Reports 476, 51 (2009), arXiv:0903.4264.

• Localization and random matrices

– T. Guhr, A. Mueller-Groeling, H. A. Weidenmueller, Random Matrix Theories in Quantum Physics: Common Concepts, Physics Report 299 189 (1998). – M. Mehta, Random matrices, Academic Press (2004). – G. Akemann, J. Baik, P. Di Francesco, The Oxford handbook of random matrix theory, Oxford (2011). – G. Livan, M. Novaes, P. Vivo, Introduction to Random Matrices - Theory and Practice, Springer (2018), arXiv:1712.07903. – M. Aizenman, S. Warzel, Random operators, AMS (2015).

• Random graphs

– S. Janson, T. Luczak, A. Rucinski, Random graphs, Wiley (2000). – M. Newman, The structure and function of complex networks, SIAM Review 45, 167 (2003), cond-mat/0303516.

• Applications to computer science and information theory

– T. Cover, J. Thomas, Elements of information theory, Wiley (1991). – T. Richardson, R. Urbanke, Modern coding theory, Cambridge (2008). – M. M´ezard, A. Montanari, Information, physics and computation, Oxford (2009).

1 – R. Monasson, Introduction to phase transitions in random optimization problems, Complex Systems, Les Houches Summer School 2006 (2008), arXiv:0704.2536.

• Books on advanced methods and concepts in statistical physics containing a miscellanea of the previous topics

– J. Cardy, Scaling and Renormalization in Statistical Physics, Cambridge Lecture Notes in Physics, Cambridge University Press (1996). – P.L. Krapivsky, S. Redner, E. Ben-Naim, A kinetic view of Statistical Physics, Cambridge University Press (2010).