Results 291 to 300 of about 71,314 (310)
Hyperbolic Graph Embedding of MEG Brain Networks to Study Brain Alterations in Individuals With Subjective Cognitive Decline. [PDF]
IEEE J Biomed Health InformBaker C +8 more
europepmc +1 more source
Reaction-diffusion model for brain spacetime dynamics. [PDF]
Biophys Rep (N Y)Li Q, Calhoun VD.
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Data-driven linearization of dynamical systems. [PDF]
Nonlinear DynHaller G, Kaszás B.
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2016
Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then ...
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Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then ...
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Geometrically Finite Complex Hyperbolic Manifolds
International Journal of Mathematics, 1997The aim of this paper is to study geometry and topology of geometrically finite complex hyperbolic manifolds, especially their ends, as well as geometry of their holonomy groups. This study is based on our structural theorem for discrete groups acting on Heisenberg groups, on the fiber bundle structure of Heisenberg manifolds, and on the existence of ...
Apanasov, Boris, Xie, Xiangdong
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EEG dynamics on hyperbolic manifolds
Neuroscience Letters, 2018Biological activities, including cellular metabolic pathways, protein folding and brain function, can be described in terms of curved trajectories in hyperbolic spaces which are constrained by energetic requirements. Here, starting from theorems recently-developed by a deceased Field Medal young mathematician, we show how it is feasible to find and ...
Arturo Tozzi +2 more
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1998
Abstract In this chapter we give several models of the 3-dimensional hyperbolic space H3, the definition of hyperbolic 3-manifolds and the representation of them by Kleinian groups. In the last section, we briefly discuss some examples of hyperbolic 3-manifolds.
Katsuhiko Matsuzaki, Masahiko Taniguchi
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Abstract In this chapter we give several models of the 3-dimensional hyperbolic space H3, the definition of hyperbolic 3-manifolds and the representation of them by Kleinian groups. In the last section, we briefly discuss some examples of hyperbolic 3-manifolds.
Katsuhiko Matsuzaki, Masahiko Taniguchi
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Almost Complex Manifolds and Hyperbolicity
Results in Mathematics, 2001One of the sufficient conditions for a complex manifold to be (complete) hyperbolic (that is, its intrinsic pseudo-distance is a (complete) distance) is that it has a (complete) Hermitian metric with holomorphic sectional curvature bounded above by a negative constant. Such a concept of hyperbolicity can be extended to almost complex manifolds. In this
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