Institute for Applied Mathematics / Probability Theory and Stochastic Analysis / Anton Bovier

Anton Bovier

On this page you can find various lecture notes that I prepared for different courses and occasions

Einführung in die Wahrscheinlichkeitstheorie (Lecture notes, Uni Bonn 2016/17)
Analysis 1 (Lecture notes for a first course in real analysis, in German)
Analysis 2 (Lecture note for a 2nd semester course in analysis, in German)
Stochastik für das Lehramt (Bonn, 2015)
Stochastic processes (Lecture Uni Bonn, 2017)
Introduction to Stochastic Analysis (Lecture Uni Bonn WS 2020/21)
Extremes (Lecture notes for a 1-semester course on Extreme Value Statistics)
Metastability (Lecture notes for a basic graduate course at TUB, 2004)
Metastability (Lecture notes for a course at the 2006 Prague Summer School)
Metastability and Aging (Lecture notes for a mini-course in Santiago, Chile, 2003)
A short course on spin glasses (Lecture notes of a mini-course at Erlangen, 2006)
Introduction to mean field spin glasses (Slight extension of the Erlangen course, after lectures in Paris)
Introduction to ageing (Lectures for a mini-course in Bonn, extension of lectures given in Bejing, 2007)
Extremes, Sums, Levy processes, and Ageing (This is substantially upgraded version of the previous notes on ageing from 2010. There are still incomplete parts and more upgrades may come.)
Mathematik für Physiker II (Lecture notes for a one-term course Mathematics for Physicists in Bonn; mainly integration theory and a bit on linear boundary value problems)
Mathematik für Physiker III (Lecture notes for a one-term course Mathematics for Physicists in Bonn; complex analysis and and Sturm-Liouville theory)
Markov processes (Lecture notes for a master coures "Markov processes", 2018);
From spin glasses to branching Brownian motion--and back? (Lecture notes for a course given at the 7th Prague Summer School on Mathematical Statistical Mechanics, August 19--30, 2013)
Gaussian processes on trees: From spin glasses to branching Brownian motion. (Lecture notes for a course given in Bonn 2014/15. This is a preliminary version of a book with the same title that is published as Vol 163 of Cambridge Series in Advanced Mathematics by Cambridge University Press).
Statistical Mechanics, Extreme Values, and Disordered Systems. Notes for a lecture series given at the Thiele Centre in Aarhus, September 2017.
Stochastic individual based models: From adaptive dynamics to modelling of cancer therapies. Lecture notes for an Advanced Topics course taught in Bonn 2019.