The Ginibre evolution in the large-N limit
  We analyse statistics of the real eigenvalues of gl(N,R)-valued Brownian motion (the 'Ginibre evolution') in the limit of large $N$. In particular, we calculate the limiting two-time correlation function of spin variables associated with real eigenvalues of the Ginibre evolution. We also show how the formalism of spin variables can be used to compute the fixed time correlation functions of real eigenvalues discovered originally by Forrester and Nagao and Borodin and Sinclair. 
Roger Tribe and Oleg Zaboronski
math.PR math-ph math.MP nlin.SI