3 problems

Let $X$ be the exact trajectory and $X_{\Delta t}$ its numerical approximation with time step $\Delta t$, and let $\Pi\colon\mathbb{R}^m\rightarrow\mathbb{R}^k$ be the observable m…

Prokhorov approximation conjecture. For some small $\epsilon$, one has

Let $X$ denote the exact molecular-dynamics trajectory and $X_{\Delta t}$ its numerical trajectory with time step $\Delta t$. Let $\Pi \colon \mathbb{R}^m \rightarrow \mathbb{R}^k$…