This paper is my contribution to the planned publication Recent Perspectives in Random Matrix Theory (Cambridge University Press). Addressed is the problem of computing spacing distributions in the bulk for the three symmetry classes orthogonal, unitary and symplectic. Emphasis is placed on the role of Painleve transcendents.
Averages of Characteristic Polynomials in Random Matrix Theory
PT-Symmetric $SU(2)$-like Random Matrix Ensembles: Invariant Distributions and Spectral Fluctuations
Random matrix theory for mixed regular-chaotic dynamics in the super-extensive regime
