4 citations · 5 across the 5 of their papers we have counts for
5 papers
Martin compactifications of affine buildings
Bertrand Rémy, Bartosz Trojan
We carry out an in-depth study of Martin compactifications of affine buildings, from the viewpoint of potential theory and random walks. This work does not use any group action on…
Simplicity of some twin tree automorphism groups with trivial commutation relations
Jun Morita, Bertrand Rémy
We prove simplicity for incomplete rank 2 Kac-Moody groups over algebraic closures of finite fields with trivial commutation relations between root groups corresponding to prenilpo…
Automorphisms of Drinfeld half-spaces over a finite field
Bertrand RÉMY, Amaury Thuillier, Annette Werner
We show that the automorphism group of Drinfeld's half-space over a finite field is the projective linear group of the underlying vector space. The proof of this result uses analyt…
Bruhat-Tits Theory from Berkovich's Point of View. I - Realizations and Compactifications of Buildings
Bertrand Rémy, Amaury Thuillier, Annette Werner
We investigate Bruhat-Tits buildings and their compactifications by means of Berkovich analytic geometry over complete non-Archimedean fields. For every reductive group G over a su…
Group-theoretic compactification of Bruhat-Tits buildings
Yves Guivarc'H, Bertrand Rémy
Let GF denote the rational points of a semisimple group G over a non-archimedean local field F, with Bruhat-Tits building X. This paper contains five main results. We prove a conve…