4 problems

For a graph $G$ and an orientable surface $S_t$ of genus $t$, let $\mu_t(G)$ be the skewness and let $\varepsilon_t(G):=\max\{0,\lceil\delta_t(G)\rceil\}$ be the integer Euler lowe…

Let $K_n$ be the complete graph, let $S_t$ be the orientable surface of genus $t$, and let $\delta_t(K_n)$ and $\mu_t(K_n)$ denote its Euler excess and skewness, respectively. Guy'…

Let $\mathbf{X} \in \mathbb{R}^k$ be a random vector, and let its Fréchet $p$-mean be … Here $\|\cdot\|$ is the Euclidean norm. Define the unit tangent vector to the trajectory of…

The skewness property S3 is a property of skewness measures, and $s_2(\alpha)$ denotes the expectile skewness measure introduced in the paper. The preceding theorem establishes pro…