PhD course Stochastic phenomena
Tid: Ti 2015-02-03 kl 10.15
Plats: room 80127, Ångström Building, Uppsala University
Medverkande: Svante Janson
This course is intended for Ph.D. students in Mathematics or Mathematical statistics from Uppsala University, Stockholm University or the Royal institute of Technology (KTH).
The main topic of the course will be some random discrete structures, for example random graphs and random trees, and asymptotic properties of them as the size goes to infinity. Although the structures are discrete, there are sometimes continuous random limit structures, for example limits that can be described using Brownian motion. The interplay between discrete and continuous will be a recurrent theme. Some of the methods used will use branching processes and (generalized) Pólya urns.
Prerequisites
Integration theory (Lebesgue integrals, the dominated convergence ...).
Basic probability theory. (Probability measures, law of large numbers, central limit theorem, ...).
I intend to explain the concepts that I use from probability theory.
Where?
All lectures are in the Ångström building in Uppsala, 10.15-12.00 and 13.15-15.00. (4 hours each day.)
The rooms will vary, see the schedule. The first lecture is in room 80127.
(Code: 80127 means "House" 8 (i.e. part 8 of the building); level 0 (i.e. ground floor); room number 127.)