$ID = get_the_ID();
add_post_meta($ID, 'Author', 'P. Vivo', True);
add_post_meta($ID, 'Credits', 'N/A', True);
$AUTHOR = get_post_meta(get_the_ID(),'Author',True);
$CREDITS = get_post_meta(get_the_ID(),'Credits',True);
echo "
by $AUTHOR ($CREDITS credits)
“;
?>
(source: WikiCommons)
Main Topics
- Simple classification of random matrix models. Gaussian and Wishart ensembles. Warmup calculations: semicircle and Marcenko–Pastur laws.
- Level spacing statistics: Poisson vs Wigner–Dyson.
- Coulomb gas method.
- Orthogonal polynomial technique and numerical checks.
- Largest eigenvalue of a random matrix. Comparison with Extreme Value Statistics for i.i.d. random variables. Tracy–Widom distribution and third-order phase transitions.
- The Replica method. Edwards–Jones formalism. Applications to full and sparse matrices (random graphs).
- Free probability. Sum of random matrices. Blue’s function.
