Reversible Peres gates with more than two all over binary-valued control signals are discussed. Methods are disclosed for the low cost realization of this kind of Peres gates without requiring ancillary lines. It is shown that Peres gates with n control signals may be obtained with a quantum cost of 2n+1 – n – 2, using Feynman gates and controlled gates realizing the κ-th root of NOT, where κ =...

We provide an elementary proof of Y. Peres’ lemma on the existence in certain dynamical systems of what we term heavy points, points whose ergodic averages consistently dominate the expected value of the ergodic averages. We also derive several generalizations of Peres’ lemma by employing techniques from the simplified proof. 1. The Lemma of Peres and its Immediate Generalizations The following...

Abstract— In this paper, the researchers propose the design of reversible circuits using reversible gates. Reversible logic is implemented in reversible circuits. Reversible logic is mostly preferred due to less heat dissipation. Conservative logic gates can be designed in any sequential circuits and can be tested using two test vectors. The significance of proposed work lies in the design of r...

Grimmett, Kesten, and Zhang (1993) showed that for d 3 and p > p c (Z d) simple random walk on the innnite percolation cluster on Z d is a.s. transient. This is equivalent to the existence of a ow of nite energy on the innnite cluster. Benjamini, Pemantle, and Peres (1998) gave an alternate proof of this result. Levin and Peres adapted the approach of Benjamini, Pemantle, and Peres to show that...

In a previous article on bronchiectasis, Alan Peres defined bronchiectasis, its pathophysiology and clinical manifestations, and how nurses may assess patients presenting with it (Peres, 2008). This article provides an overview of treatment and the role of the nurse in providing and managing the care of patients with this condition.

BACKGROUND AND AIMS Complete endoscopic resection (CER) of short-segment Barrett's esophagus with high grade dysplasia (HGD) and early esophageal adenocarcinoma (EEA) is a precise staging tool and achieves durable disease control. The major drawback is development of post-endoscopic resection esophageal stricture (PERES). No effective therapy to prevent PERES has been described. Viscous budeson...