Nonlinear PDEs, random walk, Gaussian processes, random matrices and the zeta function

The solution to the one dimensional Fisher-KPP equation (1937)  starting from a step initial condition, converges after centering by  to a traveling wave.  The logarithmic correction term, and in particular the coefficient , was computed by Bramson (1978), through a connection with the maximum of branching Brownian motion.

You can learn more about Ofer Zeitouni at http://www.wisdom.weizmann.ac.il/~zeitouni/