we present some new results on the existence and the approximationof common fixed point of expansive mappings and semigroups in probabilisticmetric spaces.

This study presents the importance of reversible logic in designing of high performance and low power consumption digital circuits. In our research, the various forms of sequential reversible circuits such as D, T, SR and JK flip-flops are investigated based on carbon nanotube field-effect transistors. All reversible flip-flops are simulated in two voltages, 0.3 and 0.5 Volt. Our results show t...

Quantum-dot Cellular Automata (QCA) is an emerging and promising technology that provides significant improvements over CMOS. Recently QCA has been advocated as an applicant for implementing reversible circuits. However QCA, like other Nanotechnologies, suffers from a high fault rate. The main purpose of this paper is to develop a fault tolerant model of QCA circuits by redundancy in hardware a...

Reversible logic is experience renewed interest as we are approach the limits of CMOS technologies. While physical implementations of reversible gates have yet to materialize, it is safe to assume that they will rely on faulty individual components. In this work we present a present a method to provide fault tolerance to a reversible circuit based on invariant relationships.

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Reversibility is a widely accepted principle in physics, according to which, the microscopic laws governing the dynamics of the physical nature can hypothetically be reversed to let the system run backward in time. Reversible cellular automata (CA) have been extensively studied as convenient tools for modeling physical systems, whenever capturing the microscopic reversibility is desirable (see ...

We study harmonic functions on random environments with particular emphasis on the case of the infinite cluster of supercritical percolation on Z. We prove that the vector space of harmonic functions growing at most linearly is (d+ 1)-dimensional almost surely. Further, there are no nonconstant sublinear harmonic functions (thus implying the uniqueness of the corrector). A main ingredient of th...

Many universal reversible libraries that contain more than one gate type have been proposed in the literature. Practical implementation of reversible circuits is much easier if a single gate type is used in the circuit construction. This paper proposes a reversible n-bit gate that is universal for reversible circuits synthesis. The proposed gate is extendable according to the size of the circui...

Reversible logic is one of the new paradigms for power optimization that can be used instead of the current circuits. Moreover, the fault-tolerance capability in the form of error detection or error correction is a vital aspect for current processing systems. In this paper, as the multiplication is an important operation in computing systems, some novel reversible multiplier designs are propose...