24 citations · 111 across the 23 of their papers we have counts for
4 papers · 1 filter
On the acylindrical hyperbolicity of the tame automorphism group of
Alexandre Martin
We introduce the notion of über-contracting element, a strengthening of the notion of strongly contracting element which yields a particularly tractable criterion to show the acyli…
On the limiting absorption principle for a new class of schroedinger hamiltonians
Alexandre Martin
We prove the limiting absorption principle and discuss the continuity properties of the boundary values of the resolvent for a class of form bounded perturbations of the Euclidean…
Acylindrical actions on CAT(0) square complexes
Alexandre Martin
For group actions on hyperbolic CAT(0) square complexes, we show that the acylindricity of the action is equivalent to a weaker form of acylindricity phrased purely in terms of sta…
On the cubical geometry of Higman's group
Alexandre Martin
We investigate the cocompact action of Higman's group on a CAT(0) square complex associated to its standard presentation. We show that this action is in a sense intrinsic, which al…