22 research outputs found
Hodge Theory on Metric Spaces
Get PDFHodge theory is a beautiful synthesis of geometry, topology, and analysis,
which has been developed in the setting of Riemannian manifolds. On the other
hand, spaces of images, which are important in the mathematical foundations of
vision and pattern recognition, do not fit this framework. This motivates us to
develop a version of Hodge theory on metric spaces with a probability measure.
We believe that this constitutes a step towards understanding the geometry of
vision.
The appendix by Anthony Baker provides a separable, compact metric space with
infinite dimensional \alpha-scale homology.Comment: appendix by Anthony W. Baker, 48 pages, AMS-LaTeX. v2: final version,
to appear in Foundations of Computational Mathematics. Minor changes and
addition
Nutrição mineral de hortaliças: XXVII - absorção de nutrientes pelo tomateiro (Lycopersicon esculentum, Mill.), em cultivo rasteiro
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The design and uses of an employability index to evaluate the vertical workforce development process
No full textDynamic social system in Nubian ibex: can a second mating season develop in response to arid climate?
No full textRole of forage, habitat and predation in the behavioural plasticity of a small African antelope
No full textThe effect of group size on space use and aggression at a concentrated food source in blue gouramis, Trichogaster trichopterus (Pisces: Belontiidae)
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