C. Deninger produced a unified description of the local factors at arithmetic infinity and at the finite places where the local Frobenius acts semi-simply, in the form of a Ray–Singer determinant of a “logarithm of Frobenius” Φ on an infinite dimensional vector space (the archimedean cohomology H · ar(X) at the archimedean places, cf. [11]). The first author gave a cohomological interpretation ...

Non-archimedean seminorms on rings and modules provide in general a structure which is richer than the associated linear topology [3], [2]. We want to characterize Banach spaces and commutative algebras over a complete non-trivially valued nonarchimedean field K, as linearly topologized modules over the ring of integers K◦ of K, with no reference to any specific norm. This is analog to the clas...

The new class of matrix-tilted Archimedean copulas is introduced. It combines properties and elliptical by introducing a tilting matrix in the stochastic representation copulas, similar to Cholesky factor for copulas. Basic this copula construction are discussed further extension outlined.

We prove that any reductive group G over a non-Archimedean local field has a cuspidal complex representation.

Durante et al. (2007) introduced a class of bivariate copulas depending on two generators which generalizes some known families such as the Archimedean copulas. In this paper we provide some result on properties of this family when the generators are certain univariate survival functions.

In this paper, some fixed point theorems for nonexpansive mappings in partially ordered spherically complete ultrametric spaces are proved. In addition, we investigate the existence of fixed points for nonexpansive mappings in partially ordered non-Archimedean normed spaces. Finally, we give some examples to discuss the assumptions and support our results.