We show that any subgroup of a finitely generated virtually abelian group G grows rationally
relative to G, that the set of right cosets of any subgroup of G grows rationally, and that the …

We introduce and study the notion of rank-one Hilbert geometries, or rank-one properly
convex domains, in $\mathbb {P}(\mathbb {R}^{d+ 1}) $. This is in the spirit of rank-one non …

In this paper we give a recursive formula for the conjugacy growth series of a graph product
in terms of the conjugacy growth and standard growth series of subgraph products. We also …

In this thesis we study various variants of word growth in finitely generated groups, focussing
on conjugacy growth. For virtually abelian groups, we prove that the conjugacy growth …

1.(§§ 1.1) In [47], we studied a class of quasi-conformal measures called Patterson-Sullivan
measures on the Bowditch boundary with applications towards the growth of relatively …