Growth rates of small cancellation groups
We estimate growth rates for small cancellation groups. In particular we show that there is a continuum possible values for exponential growth rates.
math.GR↗
arXiv subjects
Publications and source records attributed to Anna Erschler-Dyubina.
We estimate growth rates for small cancellation groups. In particular we show that there is a continuum possible values for exponential growth rates.
In this paper we consider finitary symmetric random walks on groups. We construct new possible asymptotics for the drift. We show that the drift can be very close to linear ant yet sublinear. We also give estimates for entropy growth of these random walks. In particular, we prove that there exist infinitely many asymptotics of entropy.
We prove that there exist infinitely many asymptotics of drift for random walks on finitely generated groups.