140 citations · 1.3k across the 89 of their papers we have counts for
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Estimates for simple random walks on fundamental groups of surfaces
Laurent Bartholdi, Serge Cantat, Tullio Ceccherini-Silberstein +1
Numerical estimates are given for the spectral radius of simple random walks on Cayley graphs. Emphasis is on the case of the fundamental group of a closed surface, for the usual s…
On amenability of group algebras, II: graded algebras
Laurent Bartholdi
This paper continues math.GR/0608302's study of amenability of affine algebras (based on the notion of almost-invariant finite-dimensional subspace), and applies it to graded algeb…
Iterated Monodromy Groups of Quadratic Polynomials, I
Laurent Bartholdi, Volodymyr V. Nekrashevych
We describe the iterated monodromy groups associated with post-critically finite quadratic polynomials, and explicit their connection to the `kneading sequence' of the polynomial.…
On Amenability of Group Algebras, I
Laurent Bartholdi
We study amenability of affine algebras (based on the notion of almost-invariant finite-dimensional subspace), and apply it to algebras associated with finitely generated groups. W…
Some solvable automaton groups
Laurent Bartholdi, Zoran Šunik
It is shown that certain ascending HNN extensions of free abelian groups of finite rank, as well as various lamplighter groups, can be realized as automaton groups, i.e., can be gi…
Maximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3)
L. Bartholdi, M. R. Bush
The structure of the Galois group of the maximal unramified p-extension of an imaginary quadratic field is restricted in various ways. In this paper we construct a family of finite…