Málstofa í stærðfræði
Fyrirlesari: Delphin Sénizergues, Université Paris 13
Titill: Random metric spaces constructed using a gluing procedure
Tími: Mánudagur 18. júní kl. 10:50
I will introduce a model of random trees which are constructed by iteratively gluing an infinite number of segments of given length onto each other. This model can be generalized to a gluing of „blocks“ that are more complex than segments. We are interested in the metric properties of the limiting metric space, mainly its Hausdorff dimension. We will show that its Hausdorff dimension depends in a non-trivial (and surprising !) manner on the different scaling parameters of the model and the dimension of the blocks.