This tutorial reviews fundamental contributions to information security. An integrative
viewpoint is taken that explains the security metrics, including secrecy, privacy, and others …

Computing systems are everywhere today. Even the brain is thought to be a sort of
computing system. But what does it mean to say that a given organ or system computes …

This paper examines the use of algorithms and non-algorithmic models in mathematics and
science, especially in biology, during the past century by summarizing the gradual …

We give a systematic technical exposition of the foundations of the theory of computably
compact metric spaces. We discover several new characterizations of computable …

Computable analysis is the theory of computability and complexity in analysis that arose out
of Turing's seminal work [22, 23] in the 1930s. Turing's work was motivated by questions …

Wireless communication systems are inherently vulnerable to intentional jamming. In this
paper, two classes of such jammers are considered: those with partial and full knowledge …

Deep neural networks have seen tremendous success over the last years. Since the training
is performed on digital hardware, in this paper, we analyze what actually can be computed …

The capacity of a channel can usually be characterized as a maximization of certain entropic
quantities. From a practical point of view it is of primary interest to not only compute the …

After an introduction to classical information theory, we present now primarily own methods
and models, which go considerably beyond it. They were also sketched in our Shannon …

Despite the success of Deep Learning (DL) serious reliability issues such as non-robustness
persist. An interesting aspect is, whether these problems arise due to insufficient tools or …