  We introduce and summarise results from the recent paper 'Biased random walk
on the trace of biased random walk on the trace of ...', which was written
jointly with M. P. Holmes (University of Melbourne). We also present additional
discussion on some of the conjectures made in that work. The content of this
article is loosely based on the presentation given by the author at the
Probability Symposium held at the Research Institute for Mathematical Sciences,
Kyoto University in December 2018
