\part{From the sigma model to the eigenvalues and eigenvectors} \input{sections/06-interface} \input{sections/07-point-process} \input{sections/08-extraction} \input{sections/09-residues} \input{sections/10-intensities} \input{sections/11-coarse-law} \input{sections/12-metallic} \input{sections/13-scales} \part{From the matrices to the sigma model} \input{sections/14-histories} \input{sections/15-tube} \input{sections/16-stability} \input{sections/17-consistency} \input{sections/18-endpoints} \input{sections/19-assembly} \appendix \input{sections/A-tools} \input{sections/B-contour} \input{sections/C-regularity}