Limit Points of $\{n^{-1/\alpha}S_n\}$

Direct Limit of Krasner (m, n)-Hyperrings

The purpose of this paper is the study of direct limits in category of Krasner (m, n)-hyperrings. In this regards we introduce and study direct limit of a direct system in category (m, n)-hyperrings. Also, we consider fundamental relation , as the smallest equivalence relation on an (m, n)-hyperring R such that the quotient space is an (m, n)-ring, to introdu...

On Lacunary Statistical Limit and Cluster Points of Sequences of Fuzzy Numbers

For any lacunary sequence $theta = (k_{r})$, we define the concepts of $S_{theta}-$limit point and $S_{theta}-$cluster point of a sequence of fuzzy numbers $X = (X_{k})$. We introduce the new sets  $Lambda^{F}_{S_{theta}}(X)$, $Gamma^{F}_{S_{theta}}(X)$ and prove some inclusion relaions between these and the sets $Lambda^{F}_{S}(X)$, $Gamma^{F}_{S}(X)$ introduced in ~cite{Ayt:Slpsfn} by Aytar [...

Horospherical limit points of S-arithmetic groups

Suppose Γ is an S-arithmetic subgroup of a connected, semisimple algebraic group G over a global field Q (of any characteristic). It is well-known that Γ acts by isometries on a certain CAT(0) metric space XS = ∏ v∈S Xv, where each Xv is either a Euclidean building or a Riemannian symmetric space. For a point ξ on the visual boundary of XS , we show there exists a horoball based at ξ that is di...

Small Limit Points of Mahler's Measure

Let M(P (z1, . . . , zn)) denote Mahler’s measure of the polynomial P (z1, . . . , zn). Measures of polynomials in n variables arise naturally as limiting values of measures of polynomials in fewer variables. We describe several methods for searching for polynomials in two variables with integer coefficients having small measure, demonstrate effective methods for computing these measures, and i...

α-Limit Points of Graph Maps