TY - BOOK AU - Biskup,Marek AU - Bovier,Anton AU - Hollander,Frank AU - Ioffe,Dima AU - Martinelli,Fabio AU - Netocný,Karel AU - Toninelli,Christina AU - Kotecký,Roman ED - SpringerLink (Online service) TI - Methods of Contemporary Mathematical Statistical Physics T2 - Lecture Notes in Mathematics, SN - 9783540927969 AV - QA273.A1-274.9 U1 - 519.2 23 PY - 2009/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Distribution (Probability theory KW - Mechanical engineering KW - Statistics KW - Probability Theory and Stochastic Processes KW - Theoretical, Mathematical and Computational Physics KW - Structural Mechanics KW - Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences N1 - Reflection Positivity and Phase Transitions in Lattice Spin Models -- Stochastic Geometry of Classical and Quantum Ising Models -- Localization Transition in Disordered Pinning Models -- Metastability -- Three Lectures on Metastability Under Stochastic Dynamics -- A Selection of Nonequilibrium Issues -- Facilitated Spin Models: Recent and New Results N2 - This volume presents a collection of courses introducing the reader to the recent progress with attention being paid to laying solid grounds and developing various basic tools. An introductory chapter on lattice spin models is useful as a background for other lectures of the collection. The topics include new results on phase transitions for gradient lattice models (with introduction to the techniques of the reflection positivity), stochastic geometry reformulation of classical and quantum Ising models, the localization/delocalization transition for directed polymers. A general rigorous framework for theory of metastability is presented and particular applications in the context of Glauber and Kawasaki dynamics of lattice models are discussed. A pedagogical account of several recently discussed topics in nonequilibrium statistical mechanics with an emphasis on general principles is followed by a discussion of kinetically constrained spin models that are reflecting important peculiar features of glassy dynamics UR - https://doi.org/10.1007/978-3-540-92796-9 ER -