Lectures on classical and quantum cryptography. Contents: Private key cryp-tosystems. Elements of number theory. Public key cryptography and RSA cryp-tosystem. Shannon's entropy and mutual information. Entropic uncertainty relations. The no cloning theorem. The BB84 quantum cryptographic protocol. Security proofs. Bell's theorem. The EPRBE quantum cryptographic protocol.

The goal of this paper is to review the main trends in the domain of uncertainty principles and localization, highlight their mutual connections and investigate practical consequences. The discussion is strongly oriented towards, and motivated by signal processing problems, from which significant advances have been made recently. Relations with sparse approximation and coding problems are empha...

The notion of treewidth has seen to be a powerful vehicle for many graph algorithmic studies. This survey paper wants to give an overview of many classes of graphs that can be seen to have a uniform upper bound on the treewidth of graphs in the class. Also, some mutual relations between such classes are discussed.

The study of inter-human communication requires a more complex framework than Shannon’s (1948) mathematical theory of communication because “information” is defined in the latter case as meaningless uncertainty. Assuming that meaning cannot be communicated, we extend Shannon’s theory by defining mutual redundancy as a positional counterpart of the relational communication of information. Mutual...

The aimof this paper is to introduce the notion of generalmutually associative hypergroups and to give some properties of the hypergroups associated with binary relations related to these notions. A program written in C# computes the number of Rosenberg hypergroups that satisfies the property of (general) mutual associativity. © 2010 Elsevier Ltd. All rights reserved.

The success of contract-based multiagent systems relies on agents complying with their commitments. When something goes wrong, the key to diagnosis lies within the commitments’ mutual relations as well as their individual states. Accordingly, we explore how commitments are related through the three-agent commitment delegation operation. We then propose exception diagnosis based on such a relation.

We study fixed point properties for various types of multimaps defined on generalized convex spaces and mutual relations of those properties. We obtain several fixed point theorems for approximable or Kakutani multimaps. Our approach is based on the study of approachable maps initiated mainly by Ben-El-Mechaiekh and other results on generalized convex spaces.

Recurrence relations of perturbation theory for hydrogen ground state are obtained. With their aid polarizabilities in constant perpendicular electric and magnetic fields are computed up to 80th order. The high orders asymptotic is compared with its quasiclassical estimate. For the case of arbitrary mutual orientation of external fields a general sixth order formula is given. E-mail: gani@vxite...

Historically, issues of gender, race and the environment have received little attention in mainstream International Relations (IR) scholarship. Great strides have been made, however, in interrogating the inadequacies of the field in these areas and, similarly, in demonstrating the necessity of expanded definitions of security and violence in IR. Despite these strides, mainstream environmental s...