Resistance Growth of Branching Random Networks

[Math. Dept.]

October 25, 2018  14:30-15:30

W303  School of Mathematics

[seminar]20181025Dayue Chen-01.png

SPEAKER

陈大岳（北京大学）

ABSTRACT

Consider a rooted infinite Galton--Watson tree with mean offspring number m>1, and a collection of i.i.d. positive random variables $\xi_e$ indexed by all the edges in the tree. We assign the resistance $m^d\xi_e$ to each edge e at distance d from the root.  

In this random electric network, we study the asymptotic behavior of the effective resistance and conductance between the root and the vertices at depth n. Our results generalize an existing work of Addario-Berry, Broutin and Lugosi on the binary tree to random branching networks.

SUPPORTED BY

School of Mathematics, Sichuan University

LECTURE NOTES

TMCSC181025a_Dayue Chen_Resistance Growth of Branching Random Networks

VIDEO

  • Resistance Growth of Branching Random Networks
  • 14:30 - 15:30, 2018-10-25 at W303 School of Mathematics
  • 陈大岳（北京大学）