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Structured Dynamics in the Algorithmic Agent. [PDF]
Ruffini G, Castaldo F, Vohryzek J.
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The importance of definitions in crystallography. [PDF]
Anosova O, Kurlin V, Senechal M.
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Circumcenter extension maps for non-positively curved spaces. [PDF]
Incerti-Medici M.
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Emergence of brain-like mirror-symmetric viewpoint tuning in convolutional neural networks. [PDF]
Farzmahdi A+4 more
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Online test-time adaptation for better generalization of interatomic potentials to out-of-distribution data. [PDF]
Cui T+7 more
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ON THE EXTENSION OF EQUIVARIANT MAPPINGS
Mathematics of the USSR-Sbornik, 1975It is proved that a metric space with a homeomorphism of prime period is an equivariant extensor for metric spaces with -dimensional complement if and only if the space itself and the set of fixed points of the homeomorphism are homotopically connected and locally homotopically connected in dimension .Bibliography: 9 titles.
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Otopy classes of equivariant maps
Journal of Fixed Point Theory and Applications, 2010The aim of this work is to study otopy classes of equivariant local maps. We present some extensions of the topological degree to equivariant local maps both in the gradient and non-gradient case and explain the relation between these two generalizations.
Kazimierz Gęba+2 more
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1996
Harmonic maps between Riemannian manifolds satisfy a system of quasi-linear partial differential equations. In order to have existence results one would solve PDE’s on certain manifolds. In the case when the sectional curvature of the target manifold is nonpositive or the image of the map is contained in a geodesic convex neighborhood, such a problem ...
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Harmonic maps between Riemannian manifolds satisfy a system of quasi-linear partial differential equations. In order to have existence results one would solve PDE’s on certain manifolds. In the case when the sectional curvature of the target manifold is nonpositive or the image of the map is contained in a geodesic convex neighborhood, such a problem ...
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Degree for Gradient Equivariant Maps and Equivariant Conley Index [PDF]
In order to establish some notation and terminology we recall that if f : ℝ n → ℝ n is continuous and Ω is an open bounded subset of ℝ n such that f is different from 0 on the boundary of Ω, then there is defined an integer Deg(f, Ω) — the Brouwer (or topological) degree of f with respect to Ω.
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