BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Pierre Rousselin (LAGA Paris 13) DTSTART:20200916T170000Z DTEND:20200916T180000Z DTSTAMP:20260423T005844Z UID:WMGAG/3 DESCRIPTION:Title: Co nductance of a Subdiffusive Random Weighted Tree\nby Pierre Rousselin (LAGA Paris 13) as part of GAG seminar\n\n\nAbstract\nWe build a random tr ee with random weights on its edges. These weights are used to define a ra ndom walk (in a random environment) on the vertices of the tree. \nThat is a lot of randomness! But do not worry too much\, the tools we use here ar e mostly analytical (and often elementary). \nAssociated to this random wa lk is an electrical network formalism: each edge has an electrical conduct ance (the inverse of its resistance) and we may consider \nthe effective c onductance between the root of the tree and its $n$-th level. In the regim e we are interested in (called "subdiffusive")\, \nthis conductance decrea ses almost surely to $0$ as $n$ goes to infinity and we will try (and not completely succeed!) to compute an almost sure equivalent of this conducta nce.\n\nThe password to join the talk is the order of the alternating grou p $A_7$.\n LOCATION:https://researchseminars.org/talk/WMGAG/3/ END:VEVENT END:VCALENDAR