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arXiv · 1705.08013

Non-Euclidean geometry in nature

Sergei Nechaev
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Abstract

I describe the manifestation of the non-Euclidean geometry in the behavior of collective observables of some complex physical systems. Specifically, I consider the formation of equilibrium shapes of plants and statistics of sparse random graphs. For these systems I discuss the following interlinked questions: (i) the optimal embedding of plants leaves in the three-dimensional space, (ii) the spectral statistics of sparse random matrix ensembles.

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Sergei Nechaev. 2017-05-22. Non-Euclidean geometry in nature. https://arxiv.org/abs/1705.08013

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