Wednesday, May 17, 2023 - 16:00 in E01-108
The speed of biased random walk on weighted regular trees
A talk in the Oberseminar Wahrscheinlichkeitstheorie series by
Jan Nagel
| Abstract: |
We consider a random walk on a regular tree, where each edge
is assigned a random weight or conductance. The random walk crosses an
edge with probability proportional to the edge conductance and
additionally, conductances of edges leading away from the root are
increased by a bias factor. The distance to the root then satisfies a
law of large numbers with limit the effective speed of the random
walk, which depends in a complicated way on the conductance law and
bias parameter. We are interested in properties of the speed as a
function of the bias. For example, is the speed monotone increasing in
the strength of the bias? This talk is based on joint work with Nina
Gantert and Yuki Tokushige.
Within the CRC this talk is associated to the project(s): B10 |
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