MS-E1602 - Large Random Systems D, 01.03.2021-07.04.2021
Kurssiasetusten perusteella kurssi on päättynyt 07.04.2021 Etsi kursseja: MS-E1602
Osion kuvaus
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Lecture notes
The main material for the course are the lectures notes. The first file is hand-written lecture notes from 2015. The second file is typeset lecture notes, which are currently very incomplete and may contain many misprints, but which will gradually be improved and updated during the course.
Other material
Many parts of the course topics are also covered in the textbooks
- G Grimmett. Probability on Graphs. Cambridge University Press 2010.
- W Werner. Percolation et modèle d'Ising. Cours spécialisées. Societé Mathématique de France, 2009.
- S Friedli and Y Velenik. Equilibrium Statistical Mechanics of Classical Lattice Systems: a Concrete Introduction. 2015.
Recommended background material on probability theory can be found in- K Kytölä. Probability Theory, Aalto University, course MS-E1600, 2019.
- R Durrett: Probability: Theory and Examples. Cambridge University Press, 2010.
- D Williams. Probability with Martingales. Cambridge University Press 1991.
- J Jacod, P Protter. Probability Essentials. Springer 2004.
- O Kallenberg. Foundations of Modern Probability. Springer 2002.