There are loads of books on ergodic theory; we just mention
K. E. Petersen: Ergodic Theory,
M. Viana, K. Oliveira: Foundations of Ergodic Theory and
K. Dajani and C. Kraaikamp: A Short Introduction to Ergodic Theory of Numbers. A fine survey on the mean ergodic theorem in the context of semigroups (that's just what we are going to do!) has been presented by 2021 Olympic champion in road cycling
A. Kiesenhofer.
Organizational Remarks
The file name of any uploaded solution to an exercise must start with your name (family name only, case doesn't matter) immediately followed by the number of the exam - this number only serves as a provisional lable and it may change in the future. Anyway simply take its present value! All uploaded files need to be of type: application/pdf and they must be produced by some typesetting software. Please avoid uploading any handwritten stuff! Alternatively I would like to encourage you to use a very basic combination of
MathJax and
LaTeX - I'd opt for this mode, for it's much easier to carry out corrections and in addition the files are way smaller. Actually you only need to know one thing about MathJax: any text delimited by e.g. single or double dollar signs is going to be interpreted by MathJax as a LaTeX expression. If you decide for the latter method just copy/paste the contents of the files
template_en.txt or
template_de.txt. If you need assistance in html & css have a look at
w3school,
internetingishard or write an
email. Some final remarks: 1. Try to solve the exams by means of results (theorems, propositions, lemmata, exams, etc.) presented during the lecture. 2. Somtimes your solution to an exam of conceptual nature could be a bit laborious; in that case a solution in line with the lecture will be provided.
If you think that these notes are flawless - well, that is just an error on your part!
Feel free to
report any shortcomings, flaws, etc. General
info,
email and
uplaod of exams, homeworks, notes, etc.
Many thanks to T. Speckhofer for valuable improvements!