3 problems

Brownian-bridge independence conjecture. The Brownian bridges governing the fluctuations in the below-diagonal and above-diagonal regimes are independent.

Conditional law of large numbers conjecture. The convergence in the conditional law of large numbers holds with

Let $Q^n$ and $\tilde{P}^n$ be the probability measures appearing in … where ${{\cal A}}$ is a measurable set of outcomes and the conditioning event is…