p-dimensional cones and applications
| Autor: | Novel, Maxence |
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| Rok vydání: | 2017 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 29 pages |
| Databáze: | arXiv |
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