Lectures on quasiconformal and quasisymmetric mappings
Julkaisija
University of Jyväskylä, Department of Mathematics and StatisticsISSN Hae Julkaisufoorumista
1797-4321Asiasanat
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Singular quasisymmetric mappings in dimensions two and greater
Romney, Matthew (Academic Press, 2019)For all n ≥2, we construct a metric space (X, d)and a quasisymmetric mapping f:[0, 1]n→X with the property that f−1 is not absolutely continuous with respect to the Hausdorff n-measure on X. That is, there exists a Borel ... -
Does Replacing Face-to-face Lectures with Pre-recorded Video Lectures Affect Learning Outcomes?
Syynimaa, Nestori (SciTePress, 2019)Videoing lectures have been popular during the past decade. The literature on the effect of video lectures is controversial. Some studies indicate that video lectures have a positive effect on learning outcomes and student ... -
Geometry and quasisymmetric parametrization of Semmes spaces
Pankka, Pekka; Wu, Jang-Mei (European Mathematical Society Publishing House; Real Sociedad Matematica Espanola, 2014)We consider decomposition spaces R 3 /G that are manifold factors and admit defining sequences consisting of cubes-with-handles of finite type. Metrics on R 3 /G constructed via modular embeddings of R 3 /G into ... -
Quasisymmetric extension on the real line
Vellis, Vyron (American Mathematical Society, 2018)We give a geometric characterization of the sets E ⊂ R for which every quasisymmetric embedding f : E → R n extends to a quasisymmetric embedding f : R → RN for some N ≥ n. -
Weak Chord-Arc Curves and Double-Dome Quasisymmetric Spheres
Vellis, Vyron (De Gruyter Open, 2016)Let Ω be a planar Jordan domain and α > 0. We consider double-dome-like surfaces Σ(Ω, t α ) over Ω where the height of the surface over any point x ∈ Ω equals dist(x, ∂Ω) α . We identify the necessary and su cient ...
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