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Instructors: Prof. Dr. Vitalii Konarovskyi
Event type:
Seminar
Displayed in timetable as:
P-Sem
Hours per week:
2
Language of instruction:
German/English
Min. | Max. participants:
5 | 14
Comments/contents:
The theory of large deviations is concerned with the study of probabilities of rare events and its estimates are the crucial tool required to handle many questions in statistical mechanics, engineering, applied probability, statistics, etc. The goal of the seminar is to discuss the application of the large deviations. In particular, we will consider its application in statistical mechanics to the Ising model, Curie-Weiss-Potts model, and others.
The previous knowledge of the large deviation theory is welcome but it is not necessary since we will remind the basic concepts of large deviations like its definition, Cramer's theorem, Sanov's theorem, Gärtner-Ellis Theorem, contraction principle, etc.
We will use the following literature:
Hugo Touchette, "The large deviation approach to statistical mechanics"
Richard S. Ellis "Entropy, Large Deviations, and Statistical Mechanics"
Richard S. Ellis "An overview of the theory of large deviations and applications to statistical mechanics"
Frank den Hollander "Large Deviations"
and others
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