Usually, an abelian `-group, even an archimedean `-group, has a relatively large infinity of distinct a-closures. Here, we find a reasonably large class with unique and perfectly describable a-closure, the class of archimedean `-groups with weak unit which are “

We present a p-adic and non-archimedean version of Ahlfors’ Five Islands Theorem for meromorphic functions, extending an earlier theorem of the author for holomorphic functions. In the non-archimedean setting, the theorem requires only four islands, with explicit constants. We present examples to show that the constants are sharp and that other hypotheses of the theorem cannot be removed.

Session 1 Moderator: Dr. Gregory Berkolaiko 10:20 10:40 Eleanor Anthony: Estimating Amoebae of Polynomials Using Archimedean Tropical Varieties 10:45 11:05 Sheridan Grant: Algorithm for Estimating Amoebae of Polynomials Using Archimedean Tropical Varieties 15 minute break 11:20 11:40 Westin King: Anderson Delocalization on the Three Dimensional Lattice 11:45 12:05 Amanda Hoisington: Anderson De...

We construct some new Archimedean circles in an arbelos in connection with the nine-point circles of some appropriate triangles. We also construct two new pairs of Archimedes circles analogous to those of Frank Power, and one pair of Archimedean circles related to the tangents of the arbelos.

In this paper, the nonlinear stability of a functional equation in the setting of non-Archimedean normed spaces is proved. Furthermore, the interdisciplinary relation among the theory of random spaces, the theory of non-Archimedean space, the and the theory of functional equations are also presented Key word: Hyers Ulam Rassias stability • cubic mappings • generalized normed space • Banach spac...

The classical Mazur–Ulam theorem which states that every sur-jective isometry between real normed spaces is affine is not valid for non-Archimedean normed spaces. In this paper, we establish a Mazur–Ulam theorem in the non-Archimedean strictly convex normed spaces.

Multivariate exchangeable Archimedean copulas are one of the most popular classes of copulas that are used in actuarial science and finance for modelling risk dependencies and for using them to quantify the magnitude of tail dependence. Owing to the increase in popularity of copulas to measure dependent risks, generating multivariate copulas has become a very crucial exercise. Current methods f...

We develop the theory of pinchings for non-archimedean analytic spaces. In particular, we show that although affinoid spaces do not have to be affinoid, Hausdorff always exist in category