33 citations · 55 across the 19 of their papers we have counts for
24 papers
Carathéodory distance-preserving maps between bounded symmetric domains
Bas Lemmens, Cormac Walsh
We study the rigidity of maps between bounded symmetric domains that preserve the Carathéodory/Kobayashi distance. We show that such maps are only possible when the rank of the co-…
Infinite dimensional symmetric cones and gauge-reversing maps
Bas Lemmens, Mark Roelands, Marten Wortel
The famous Koecher-Vinberg theorem characterises the finite dimensional formally real Jordan algebras among the finite dimensional order unit spaces as the ones that have a symmetr…
On the structure of the dimension spectrum for continued fraction expansions
Painos Chitanga, Bas Lemmens, Roger Nussbaum
We analyse the dimension spectrum of continued fractions expansions with coefficients restricted to infinite subsets of . We prove that the set of powers $P_q=\{q^n\co…
Horofunctions and metric compactification of noncompact Hermitian symmetric spaces
Cho-Ho Chu, María Cueto-Avellaneda, Bas Lemmens
Given a Hermitian symmetric space of noncompact type, we give a complete description of the horofunctions in the metric compactification of with respect to the Carathéodory…
Horofunction compactifications of symmetric cones under Finsler distances
Bas Lemmens
In this paper we consider symmetric cones as symmetric spaces equipped with invariant Finsler distances, namely the Thompson distance and the Hilbert distance. We establish a corre…
Horofunction compactifications and duality
Bas Lemmens, Kieran Power
We study the global topology of the horofunction compactification of smooth manifolds with a Finsler distance. The main goal is to show, for certain classes of these spaces, that t…