most recent 30 from http://mathoverflow.net 2013-05-23T11:29:42Z http://mathoverflow.net/feeds/question/104870 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/104870/distribution-of-the-coordinates-of-the-second-eigenvalues-of-a-large-d-regular-gr pgiacome 2012-08-16T20:52:57Z 2012-10-15T23:22:01Z

<p>in the paper "expander graphs with applications" an intriguing problem was posed Fix an integer $d ≥ 3$ and consider large random $(n, d)$-graphs. What can be said about the distribution of the coordinates of $v_2$? Specifically, does $v_2$ tend to be uniformly distributed on the unit sphere (in which the distribution of these coordinates is nearly normal)?</p> <p>Does anyone know some advances on this problem?</p>

http://mathoverflow.net/questions/104870/distribution-of-the-coordinates-of-the-second-eigenvalues-of-a-large-d-regular-gr/104879#104879 Igor Rivin 2012-08-16T23:29:18Z 2012-08-16T23:29:18Z

<p>You might want to check ou<a href="http://arxiv.org/pdf/0910.5306.pdf" rel="nofollow">t this preprint by Dimitriou and Pal</a>, and voluminous references therein.</p>