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Showing 1 to 8 of 8 for “"Möbius transformations"”.
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Composition Sequences and Semigroups of Möbius Transformations
… of continued fractions, we study semigroups of Möbius transformations. Like Kleinian groups, semigroups have limit sets, and indeed each semigroup is equipped with two limit sets. We find that limit sets have an internal structure with features similar to the limit sets of Kleinian groups and …
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Discrete and free subgroups of SL₂
… Pong Lemma) to the action of these groups by Möbius transformations on the Riemann sphere. It remains, however, an open problem to determine freeness of such subgroups in general. On the other hand, applying the Ping Pong Lemma to the action of SL₂(R) by Möbius transformations on the …
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Geometric rigidity estimates for isometric and conformal maps from S^(n-1) to R^n
… the conformal group of S^(n-1) is the one of its Möbius transformations, we obtain stability results for these classes of mappings among maps from S^(n-1) to R^n in terms of appropriately defined deficits. Unlike classical geometric rigidity results for maps defined on domains of R^n and mapping …
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Random geometry in two and three dimensions
… on the space of circle homeomorphisms up to Möbius transformations. The Weil–Petersson Teichmüller space is a subspace of this which has been of long-term interest in geometry and string theory and has recent connections to SLE curves in probability. We introduce and study natural ℓ2 spaces …
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Classification of entanglement in symmetric states
… between symmetric states can be described by the Möbius transformations of complex analysis, which allows for a clear visualisation of the SLOCC freedoms and facilitates the understanding of SLOCC invariants and equivalence classes. In particular, explicit forms of representative states for all …
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Hyperbolic transformations on cubics in H²
… thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work are based on …
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Hyperbolic transformations on cubics in H²
… thesis is to study the effects of hyperbolic transformations on the cubic that is determined by locus of centroids of the equilateral triangles in H² whose base coincides with the line y=0, and whose common vertex is at the origin. The derivation of the formulas within this work are based on …