Výsledky vyhledávání - "Smale, Steve"

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This work gives a mathematical study of tissue dynamics. We combine within-cell genome dynamics and diffusion between cells, where the synthesis of the two gives rise to the emergence of function. We introduce a concept of monotonicity and prove that

Externí odkaz: http://arxiv.org/abs/1610.04224

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The Pitchfork Bifurcation

Autor: Rajapakse, Indika, Smale, Steve

We give development of a new theory of the Pitchfork bifurcation, which removes the perspective of the third derivative and a requirement of symmetry.

Externí odkaz: http://arxiv.org/abs/1609.05996

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Mathematics of the Genome

Autor: Rajapakse, Indika, Smale, Steve

This work gives a mathematical foundation for bifurcation from a stable equilibrium in the genome. We construct idealized dynamics associated with the genome. For this dynamics we investigate the two main bifurcations from a stable equilibrium. Final

Externí odkaz: http://arxiv.org/abs/1510.00080

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Hodge Theory on Metric Spaces

Autor: Bartholdi, Laurent, Schick, Thomas, Smale, Nat, Smale, Steve, Baker, Anthony W.

Publikováno v: Foundations of Computational Mathematics 12:1 (2012) 1-48

Hodge 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

Externí odkaz: http://arxiv.org/abs/0912.0284

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