activity
20132026
most citedA characterization theorem for BLD-mappings between metric spaces

9 citations · 15 across the 9 of their papers we have counts for

collaborators

15 papers

cs.CL2026

Continued Pretraining of FinBERT on Finnish Histopathological Reports: Train-Time Signals and Proxy Downstream Correlations

Rami Luisto, Liisa Petäinen, Tommi Grönholm +5

In Natural Language Processing (NLP) classification tasks where a lack of labeled data is an issue, continued pretraining (CPT) of transformer models on unlabeled data is an establ…

cs.CL2026

A visual observation on the geometry of UMAP projections of the difference vectors of antonym and synonym word pair embeddings

Rami Luisto

Antonyms, or opposites, are sometimes defined as \emph{word pairs that have all of the same contextually relevant properties but one}. Seeing how transformer models seem to encode…

physics.soc-ph2026

Observing rurality of a geographical area from road graph geometry -- a qualitative study

Rami Luisto

In this paper we analyze the Finnish road network as a graph in order to measure whether the "rurality" or "urbanity" of an area correlates with local geometrical properties of the…

math.MG2025★ 1 cited

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…

math.HO2020

A non-Euclidean story or: how to persist when your geometry doesn't

Rami Luisto

Too little mathematics has been written in prose. Thus we prove here, via a fantasy novellette, that a locally L-bilipschitz mapping between uniformly Ahlfors $q…

math.MG2019

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.

math.CV2019★ 1 cited

On proper branched coverings and a question of Vuorinen

Aapo Kauranen, Rami Luisto, Ville Tengvall

We study global injectivity of proper branched coverings defined on the Euclidean -ball in the case when the branch set is compact. In particular we show that such mappings are…

math.CV2018★ 2 cited

Open and Discrete Maps with Piecewise Linear Branch Set Images are Piecewise Linear Maps

Rami Luisto, Eden Prywes

The image of the branch set of a PL branched cover between PL -manifolds is a simplicial -complex. We demonstrate that the reverse implication also holds: an open and dis…

math.CA2018

Weak regularity of the inverse under minimal assumptions

Stanislav Hencl, Aapo Kauranen, Rami Luisto

Let be a domain and let be a homeomorphism such that its distributional adjugate is a finite Radon measure. We…

math.CV2017

Mappings of finite distortion: compactness of the branch set

Aapo Kauranen, Rami Luisto, Ville Tengvall

We show that an entire branched cover of finite distortion cannot have a compact branch set if its distortion satisfies a certain asymptotic growth condition. We furthermore show t…

math.MG2017

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…

math.CV2017

Stoïlow's theorem revisited

Rami Luisto, Pekka Pankka

Stoïlow's theorem from 1928 states that a continuous, open, and light map between surfaces is a discrete map with a discrete branch set. This result implies that such maps between…

math.MG2015★ 9 cited

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.

math.MG2014★ 2 cited

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…

math.MG2013

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) $…