Mathematical Sciences Seminar - Two phase transitions in the PAM with correlated potential
When:
—
Venue:
Birkbeck Main Building, Malet Street
No booking required
The parabolic Anderson problem (PAM) is the Cauchy problem for the heat equation on the integer lattice with random potential. It is well-known that, unlike the standard heat equation, the solution of the PAM exhibits strong localisation. In particular, for a wide class of iid potentials (including Pareto potentials) it is localised at just one point. In this talk, we discuss phase transitions (between localisation and delocalisation) exhibited by the model when the potentials are chosen to be correlated. This is a joint work with Stephen Muirhead and Nadia Sidorova.
Contact name:
Department of Economics, Mathematics and Statistics