3 problems

The explicit minimizer conjecture. The minimizer is

Real-time global existence conjecture. If $\tau$ is real, then $z^{a}(\tau)$ is well defined as a real analytic function of $\tau$ for every $\tau\in(-1,1)$.

A Gaussian analytic function is a random analytic function given by a Taylor series with independent, centered complex Gaussian coefficients. A function has bounded mean oscillatio…