000			01557nam a22001577a 4500
003			OSt
005			20240314114321.0
008			240314b |||||||| |||| 00| 0 eng d
020			_a9781107184824
100			_aFriedli, Sacha
245			_aStatistical mechanics of lattice systems: _bA concrete mathematical introduction / _cSacha Friedli and Yvan Velenik
260			_aUnited Kingdom: _bCambridge University Press, _c2018.
300			_axix,622p.
520			_aThis motivating textbook gives a friendly, rigorous introduction to fundamental concepts in equilibrium statistical mechanics, covering a selection of specific models, including the Curie–Weiss and Ising models, the Gaussian free field, O(n) models, and models with Kać interactions. Using classical concepts such as Gibbs measures, pressure, free energy, and entropy, the book exposes the main features of the classical description of large systems in equilibrium, in particular the central problem of phase transitions. It treats such important topics as the Peierls argument, the Dobrushin uniqueness, Mermin–Wagner and Lee–Yang theorems, and develops from scratch such workhorses as correlation inequalities, the cluster expansion, Pirogov–Sinai Theory, and reflection positivity. Written as a self-contained course for advanced undergraduate or beginning graduate students, the detailed explanations, large collection of exercises (with solutions), and appendix of mathematical results and concepts also make it a handy reference for researchers in related areas.
942			_2ddc _cBK
999			_c23071 _d23071