Growth, isoperimetry and Liouville property for random walks on groups
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below
In a joint work with Tianyi Zheng we show that the growth
function of the first Grigorchuk group satisfies \[ \ln \ln v_n/\ln
v_n = a, \] where $a = \log 2/\log x$, $x$ being a positive root of
the polynomial $x^3-x^2-2x-4$. This is done by...