Measure-Theoretical Sensitivity and Scrambled Sets Via Furstenberg Families

In this paper: For an invariant measure μ in a topological dynamic system, notions of F-μ-pairwise sensitivity and F-μ-sensitivity are introduced and investigated, where F is a Furstenberg family. It is shown that F...

-Type Plane Wave Solution of E-M Equations Coexisting with Null Fluid and Null Current in Space-Time V5

In this paper: In this paper, we have shown that generalized plane wave metric be the solution of Einstein-Maxwell equations in the presence of null fluid and null currents in higher dimensional space-time V5 for -t...

Seiberg-Witten like Equations on 8-Manifolds with Structure Group Spin(7)

Nülifer Özdemir, Nedim Değirmenci

In this paper: Seiberg-Witten monopole equations are defined on 4-manifolds and solution space of this equations yields differential topological invariants. In this work we consider 8-dimensional Riemannian manifold...

The Natural Logarithm on Time Scales

Dorota Mozyrska, Delfim F. M. Torres

In this paper: We define a logarithm function on time scales and present its main properties.

An Extension of Almost Sure Central Limit Theory for the Product of Partial Sums

Miao Yu

In this paper: An almost sure central limit theorem for the product of the partial sums of i.i.d. positive random variables is shown, which is an extension of Gonchigdanzan and Rempała [5]. Moreover, a more general...

Frame Operator and Hilbert-Schmidt Operator in Tensor Product of Hilbert Spaces

G. Upender Reddy, N. Gopal Reddy, B. Krishna Reddy

In this paper: The tensor product of frames in Hilbert spaces is introduced. It was shown that the tensor product of two frames is a frame for the tensor product of Hilbert spaces. The concept of tensor frame operat...

Subordination and Superordination Results for Komatu Integral Transforms

T.N. Shanmugam, S. Sivasubramanian, C. Ramachandran

In this paper: Let A be the class of all normalized analytic functions f (z) in the open unit disk satisfying f (0) = 0 and f′(0) = 1. Let q1 and q2 be univalent in Δ with q1(0) = q2(0) = 1. We give some application...

Topological Conjugacy of Relative Topological Dynamics

M.R. Molaei, B. Ghazanfari

In this paper: In this paper the notion of topological conjugacy from the viewpoint of an observer is considered. Relative minimality, relative transitivity and relative expansiveness are studied. It is proved that:...

Cosmological Model of the Universe with Viscous Fluid in Kaluza-Klein Theory of Gravitation

G.S. KHADEKAR, B.P. Butey

In this paper: In this paper we have investigated Kaluza-Klein type 5–dimensional model of universe with a flat geometry filled with viscous fluid in the presence of variable cosmological term Λ. A non-singular solu...