Inspired by the work of Cherry, we introduce and study a new notion Brody hyperbolicity for rigid analytic varieties over non-archimedean field $K$ characteristic zero. We use this to show following algebraic statement: if projective variety admits non-constant morphism from an abelian variety, then so does any specialization it. As application result, that moduli space is $K$-analytically hype...

We estimate Value-at-Risk for sums of dependent random variables. We model multivariate dependent random variables using archimedean copulas. This structure allows one to calculate the asymptotic behaviour of extremal events. An important application of such results are Value-at-Risk estimates for sums of dependent random variables.

In this paper, we investigate the Hyers-Ulam stability for the system of additive, quadratic, cubicand quartic functional equations with constants coecients in the sense of dectic mappings in non-Archimedean normed spaces.