p-dimensional cones and applications

Maxence Novel

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arXiv · 1712.00762

p-dimensional cones and applications

Maxence Novel

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Abstract

We introduce a notion of p-dimensional cones made of $p$-dimensional subspaces and gauges on these cones, giving rise to a contraction principle which generalizes the one for Birkhoff cones. Using tools on the grassmannian and the exterior algebra, we prove a spectral gap result for the p largest eigenvalues of an operator and a regularity result for the characteristic exponents of a random product of cone-contracting operators.

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Maxence Novel. 2017-12-03. p-dimensional cones and applications. https://arxiv.org/abs/1712.00762

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