What is the Birkhoff norm of a Perron vector? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-19T19:46:55Z http://mathoverflow.net/feeds/question/101234 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/101234/what-is-the-birkhoff-norm-of-a-perron-vector What is the Birkhoff norm of a Perron vector? Felix Goldberg 2012-07-03T14:24:48Z 2012-07-03T14:59:51Z <p>Let $A$ be a positive matrix. What is known about the Birkhoff norm of its Perron vector?</p> <p>By the Birkhoff norm of a vector $x$ I refer to the quantity $\frac{\max{x}}{\min{x}}$.</p> <p>P.S. This is actually a spiced-up restatement of <a href="http://mathoverflow.net/questions/98025/concentration-for-eigenvectors" rel="nofollow">my older question</a>.</p>