4 problems

Compensated Riemann–Stieltjes/Skorohod-sum conjecture. The two limiting sums should coincide:

Let $W$ be a Brownian motion and let $\bar{\bm{\lambda}}$ be an extension of Lebesgue measure arising from a rich Fubini extension, under which a process with the weaker measurabil…

General central limit conjecture. A central limit theorem holds in general for $\widehat{\mathcal{I}}_{r,k}(f)$ and $\widetilde{\mathcal{I}}_{r,k}(f)$ as $k\to\infty$.

A stochastic variational integrator (SVI) is a structure-preserving numerical integrator for a stochastic mechanical system, and symplecticity means that it preserves the relevant…