In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version ofKirk's fixed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.

This paper presents the number of results concerning problems of asymptotic densities in the variety of propositional logics. We investigate, for propositional formulas, the proportion of tautologies of the given length n against the number of all formulas of length n. We are specially interested in asymptotic behavior of this fraction. We show what the relation between a number of premises of ...

We consider the case 1 interval censorship model in which the survival time has an arbitrary distribution function F 0 and the inspection time has a discrete distribution function G. In such a model one is only able to observe the inspection time and whether the value of the survival time lies before or after the inspection time. We prove the strong consistency of the generalized maximum likeli...

Several calculations of 2and 3-point correlation functions in the deformed theory are presented. The central charge in the LuninMaldacena gravity dual is shown to be independent of the deformation parameter. Calculations show that 2and 3-point functions of chiral primary operators have no radiative corrections to lowest order in the interactions. Correlators of the operator tr(Z1Z2), which has ...

Consider a random matrix whose variance profile is random. This random matrix is ergodic in one channel realization if, for each column and row, the empirical distribution of the squared magnitudes of elements therein converges to a nonrandom distribution. In this paper, noncrossing partition theory is employed to derive expressions for several asymptotic eigenvalue moments (AEM) related quanti...

We prove that no local diffeomorphism invariant two-dimensional theory of the metric and the dilaton without higher derivatives can describe the exact string black hole solution found a decade ago by Dijkgraaf, Verlinde and Verlinde. One of the key points in this proof is the concept of dilaton-shift invariance. We present and solve (classically) all dilaton-shift invariant theories of two-dime...

Recent years have witnessed a growing concern over the issue of safety culture within high-risk industries. The purpose of the present review is to summarize and integrate the numerous reports and studies that have been conducted to define and assesses safety culture, as well as the highly related concept of safety climate. Safety professionals have increasingly turned their attention to social...

A key requirement for safety-critical systems that use Commercial Off-TheShelf (COTS) components is that the COTS components do not compromise the reliability, safety and security of the overall system. Safety wrappers can be seen as a means to control the integration of the (often disparate in nature) components to ensure fault tolerance, quality of service and security. This paper discusses n...

We investigate the structure of the Longo-Rehren inclusion for a nite closed system of endomorphisms of factors, whose categorical structure is known to be the same as the asymptotic inclusion of A. Ocneanu. In particular, we obtain a precise description of the sectors associated with the Longo-Rehren inclusions in terms of half braidings, which do not necessarily satisfy the usual condition of...