Non-negative integral matrices with given spectral radius and controlled dimension

A celebrated theorem of Douglas Lind states that a positive real number is equal to the spectral radius of some integral primitive matrix, if and only if, it is a Perron algebraic integer. Given a Perron number p, we prove that there is an integral irreducible matrix with spectral radius p, and with...

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Bibliographic Details
Main Author: Yazdi, M
Format: Journal article
Language:English
Published: Cambridge University Press 2021