3 problems

Let $\lambda'$ be a two-row partition, and let $\mathrm{prs}_{\lambda'}$ be the associated skew Schur partition function, defined on those partitions for which the function is defi…

Let $F:\mathbb{R}^n\rightarrow\mathbb{R}^n$ be a $C^1$ map. Suppose there exists an $\varepsilon>0$ such that $|\lambda|\geqslant\varepsilon$ for every eigenvalue $\lambda$ of…

Let $\Phi$ be the measurement matrix for signals in $\mathbb{C}^M$, with $N$ intensity measurements, and write $\mathrm{AlmInj}[\Phi,\mathbb{C}^{M\times N}]$ for almost injectivity…