140 citations · 1.3k across the 89 of their papers we have counts for
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Groups of given intermediate word growth
Laurent Bartholdi, Anna Erschler
We show that there exists a finitely generated group of growth ~f for all functions f:\mathbb{R}\rightarrow\mathbb{R} satisfying f(2R) \leq f(R)^{2} \leq f(ηR) for all R large enou…
Images of Golod-Shafarevich algebras with small growth
Agata Smoktunowicz, Laurent Bartholdi
We show that Golod-Shafarevich algebras can be homomorphically mapped onto infinite-dimensional algebras with polynomial growth, under mild assumptions of the number of relations o…
(Self-)similar groups and the Farrell-Jones conjectures
Laurent Bartholdi
We show that contracting self-similar groups satisfy the Farrell-Jones conjectures as soon as their universal contracting cover is non-positively curved. This applies in particular…
Poisson-Furstenberg boundary and growth of groups
Laurent Bartholdi, Anna G. Erschler
We study the Poisson-Furstenberg boundary of random walks on permutational wreath products. We give a sufficient condition for a group to admit a symmetric measure of finite first…
On a conjecture of Goodearl: Jacobson radical non-nil algebras of Gelfand-Kirillov dimension 2
Agata Smoktunowicz, Laurent Bartholdi
For an arbitrary countable field, we construct an associative algebra that is graded, generated by finitely many degree-1 elements, is Jacobson radical, is not nil, is prime, is no…