9 citations · 15 across the 9 of their papers we have counts for
6 papers · 1 filter
A short survey on almost orthogonal vectors in a few specific large dimensions
Rami Luisto
The concept of \emph{almost orthogonal vectors}, i.e.\ vectors whose cosine similarity is close to , relates to topics both in pure mathematics and in coding theory under the gu…
On BLD-mappings with small distortion
Aapo Kauranen, Rami Luisto, Ville Tengvall
We show that every -BLD-mapping in a domain of is a local homeomorphism if or . These bounds are sharp as shown by a winding map.
A Newman property for BLD-mappings
Rami Luisto
We define a Newman property for BLD-mappings and study its connections to the porosity of the branch set in the setting of generalized manifolds equipped with complete path metrics…
A characterization theorem for BLD-mappings between metric spaces
Rami Luisto
We prove a characterization for BLD-mappings between locally complete locally compact path-metric spaces. As a corollary we obtain a sharp limit theorem for BLD-mappings.
Note on local-to-global properties of BLD-mappings
Rami Luisto
We give a proof, based on Lipschitz quotient mappings, for the fact that limits of BLD-mappings between manifolds of bounded geometry are BLD. Furthermore we show that such mapping…
Rigidity of extremal quasiregularly elliptic manifolds
Rami Luisto, Pekka Pankka
We show that for a closed -manifold admitting a quasiregular mapping from the Euclidean -space the following are equivalent: (1) order of growth of is , (2) $…