Cartan’s method is used to prove a several variable, non-Archimedean, Nevanlinna Second Main Theorem for hyperplanes in projective space. The corresponding defect relation is derived, but unlike in the complex case, we show that there can only be finitely many non-zero non-Archimedean defects. We then address the non-Archimedean Nevanlinna inverse problem, by showing that given a set of defects...

The copula function is an effective and elegant tool useful for modeling dependence between random variables. Among the many families of this function, one most prominent family Archimedean family, which has its unique structure features. Most functions in have only a single parameter limits scope structure. In paper we modify generator copulas way maintains membership while increasing number p...

The fate of the Ising ferromagnet and antiferromagnet by the zero-temperature Glauber dynamics from random initial spin configuration is investigated in the two-dimensional Archimedean and 2-uniform lattices. Blinker states are found in addition to the ground state and metastable state. We show that an even-coordinated lattice can arrive at a blinker state or a metastable state without stripe s...

begin{abstract} in this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable banach space. end{abstract}

Measures with values in non-Archimedean fields, which are quasi-invariant and descending at infinity on topological vector spaces over non-Archimedean fields, are studied in this paper. Moreover, their characteristic functionals are considered. In particular, measures having convolution properties like classical Gaussian measures are investigated in the paper. Applications of such measures to p...

Introduction: In the original variable-density (VD) spiral trajectory[1], the sampling density varies throughout the k-space trajectory; i.e., k(τ) = λτe , where the parameter α controls the rate of density variation. Here, we propose a k-space trajectory consisting of an Archimedean spiral[2] from the origin out to a given radius k1, and extending beyond k1 with a variable-density spiral of α>...

In this paper we introduce a notion of a non-Archimedean fuzzy norm and study the stability of the Cauchy equation in the context of non-Archimedean fuzzy spaces in the spirit of Hyers–Ulam–Rassias–Găvruţa. As a corollary, the stability of the Jensen equation is established. We indeed present an interdisciplinary relation between the theory of fuzzy spaces, the theory of non-Archimedean spaces ...

in this paper, we prove the generalized hyers-ulam stability of the quadratic functionalequation$$f(x+y)+f(x-y)=2f(x)+2f(y)$$in non-archimedean $mathcal{l}$-fuzzy normed spaces.

An interesting question posed by Paul Erdös around 1950 pertains to the maximal number of points in n-dimensional Euclidean Space so that no subset of three points can be picked that form an obtuse angle. An unexpected and surprising solution was presented around a decade later. Interestingly enough the solution relies in its core on properties of measures in n-dimensional space. Beyond its int...

We study an n-player game with random payoffs and continuous strategy sets. The payoff function of each player is defined by its expected value the set a joint chance constraint. constraint vectors defining are dependent follow elliptically symmetric distributions. Archimedean copula used to capture dependence among vectors. propose reformulation player. Under mild assumptions on players’ funct...