An Introduction to Dirichlet Form Theory, Spring 2026, Aarhus university
Lecture notes (Last update: 29 April)
Week 1 (17.03, 19.03): Basic definitions, the unit interval with derivative
Week 2 (24.03, 26.03): The unit interval without derivative, the closed property
Week 3 (07.04, 09.04): The Markovian property
Week 4 (14.04, 16.04): $\alpha$-stable regular Dirichlet forms on Euclidean spaces; capacity and quasi-continuity
Week 5 (21.04, 23.04): Beurling-Deny decomposition and energy measure
Week 6 (28.04, 30.04): Construction of the standard Dirichlet form on the Sierpinski gasket