Results 41 to 50 of about 83,569 (275)
Collisions of particles in locally AdS spacetimes II Moduli of globally hyperbolic spaces [PDF]
We investigate 3-dimensional globally hyperbolic AdS manifolds containing "particles", i.e., cone singularities of angles less than $2\pi$ along a time-like graph $\Gamma$.
C.D. Hodgson +18 more
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Bermudo, Sergio +3 more
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The hyperbolicity constant of infinite circulant graphs
If X is a geodesic metric space and x1, x2, x3 ∈ X, a geodesic triangle T = {x1, x2, x3} is the union of the three geodesics [x1x2], [x2x3] and [x3x1] in X.
Rodríguez José M., Sigarreta José M.
doaj +1 more source
Gromov hyperbolic graphs arising from iterations [PDF]
For a contractive iterated function system (IFS), it is known that there is a natural hyperbolic graph structure (augmented tree) on the symbolic space of the IFS that reflects the relationship among neighboring cells, and its hyperbolic boundary with the Gromov metric is H lder equivalent to the attractor $K$.
Kong, Shilei +2 more
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Strongly invertible knots, rational-fold branched coverings and hyperbolic spatial graphs [PDF]
A construction of a spatial graph from a strongly invertible knot was developed by the second author, and a necessary and sufficient condition for the given spatial graph to be hyperbolic was provided as well.
Ichihara, Kazuhiro, Ushijima, Akira
core +6 more sources
Extrapolation over temporal knowledge graph via hyperbolic embedding
Predicting potential facts in the future, Temporal Knowledge Graph (TKG) extrapolation remains challenging because of the deep dependence between the temporal association and semantic patterns of facts.
Yan Jia +7 more
doaj +1 more source
Translation-Based Embeddings with Octonion for Knowledge Graph Completion
Knowledge representation learning achieves the automatic completion of knowledge graphs (KGs) by embedding entities into continuous low-dimensional vector space.
Mei Yu +7 more
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The Development of Log Aesthetic Patch and Its Projection onto the Plane
In this work, we introduce a new type of surface called the Log Aesthetic Patch (LAP). This surface is an extension of the Coons surface patch, in which the four boundary curves are either planar or spatial Log Aesthetic Curves (LACs).
Yee Meng Teh +4 more
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Acylindrical group actions on quasi-trees
A group G is acylindrically hyperbolic if it admits a non-elementary acylindrical action on a hyperbolic space. We prove that every acylindrically hyperbolic group G has a generating set X such that the corresponding Cayley graph is a (non-elementary ...
Balasubramanya, Sahana
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Uniform hyperbolicity of the curve graph via surgery sequences [PDF]
We prove that the curve graph $\calC^{(1)}(S)$ is Gromov-hyperbolic with a constant of hyperbolicity independent of the surface $S$. The proof is based on the proof of hyperbolicity of the free splitting complex by Handel and Mosher, as interpreted by ...
Clay, Matt, Rafi, Kasra, Schleimer, Saul
core +2 more sources

