BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nadia Sidorova (University College London) DTSTART:20220311T173000Z DTEND:20220311T183000Z DTSTAMP:20260423T024725Z UID:PatC/58 DESCRIPTION:Title: Lo calisation and delocalisation in the parabolic Anderson model\nby Nadi a Sidorova (University College London) as part of Probability and the City Seminar\n\n\nAbstract\nThe parabolic Anderson problem is the Cauchy probl em for the heat equation on the integer lattice with random potential. It describes the mean-field behaviour of a continuous-time branching random w alk. It is well-known that\, unlike the standard heat equation\, the solut ion of the parabolic Anderson model exhibits strong localisation. In parti cular\, for a wide class of iid potentials it is localised at just one poi nt. However\, in a partially symmetric parabolic Anderson model\, the one- point localisation breaks down for heavy-tailed potentials and remains unc hanged for light-tailed potentials\, exhibiting a range of phase transitio ns.\n LOCATION:https://researchseminars.org/talk/PatC/58/ END:VEVENT END:VCALENDAR