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Preprint . 2021
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On the Joint Spectral Radius

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2022Embargo end date: 01 Jan 2021 English Publisher:Springer International Publishing
Authors: Emmanuel Breuillard;

doi: 10.1007/978-3-031-05331-3_1 , 10.48550/arxiv.2103.09089

arXiv: 2103.09089

On the Joint Spectral Radius

Abstract

We prove explicit polynomial bounds for Bochi's inequalities regarding the joint spectral radius of a subset of $d\times d$ matrices.

minor additions, 15 pages, to be submitted to a Springer volume in memory of Jean Bourgain

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Keywords

Mathematics - Functional Analysis, FOS: Mathematics, Mathematics - Numerical Analysis, Dynamical Systems (math.DS), Numerical Analysis (math.NA), Mathematics - Dynamical Systems, Functional Analysis (math.FA)

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green