The Furstenberg measure is the stationary measure of a Markov chain on the projective space. The geometric measure theoretical properties of the Furstenberg measure allows us to give sufficient conditions for calculating the dimension of self-affine sets and measures, in a very natural way. We will see how.
Application of the Furstenberg measure for self-affine systems
2016. 04. 14. 16:15
Balázs BÁRÁNY (BME)