Optimal Transport
For not-so-optimal mathematicians
Preface
These notes follow the course Optimal Transport (506.116) taught by Ass.Prof. Dipl.-Ing. Dr.rer.nat. Gudmund Pammer at the Institute of Statistics, University of Technology, Graz, as it appeared in the Summer semester 2026.
Most of the material comes from my hand-written notes from the lectures, however there are some additions to make the material (in my opinion) more understandable and/or complete. Use of additional material is always explicitly pointed out and cited. Nevertheless, I would like to thank Matthias Höfler, among others, for their handwritten and LaTeX notes, which I referenced at certain points.
The typesetting was done in Quarto, and hence they come in both PDF and web versions. Feel free to use whichever feels more comfortable for you. They were put together as a preparation for the final exam, and as such are bound to contain typos and errors. I will be very happy if you report and/or fix them, either by email (stepan@zapadlo.name) or by submitting an Issue/Merge Request on the git repository.