3 problems

A linear-fragmentation process is a continuous process with finite mean, variance, and third moment. Maximum-criterion conjecture. Every linear-fragmentation process satisfies the…

Let $\phi$ be a linear flow on a finite-dimensional real vector space $X$, let $b>1$, let $\sigma_{\rm dom}(\phi)$ denote its dominant spectrum, and let $\mathcal{O}(X)$ denote the…

Let $p_1,\ldots,p_d\in\mathbb{Z}$, let $\alpha\in\mathbb{R}\setminus\{0\}$, and let $u\in\mathbb{R}^d\setminus\{0\}$. For $\langle x\rangle\in\mathbb{T}^d$, define … where…