Mathematical Analysis of Evolution, Information, and Complexity by Wolfgang Arendt and Wolfgang P Schleich pdf
Mathematical Analysis of Evolution, Information, and Complexity by Wolfgang Arendt and Wolfgang P Schleich pdf free download. The present book is devoted to the mathematical analysis of evolution, information and complexity. The time evolution of systems or processes is a central question in science and covers a broad range of problems including diffusion processes, neural networks, quantum theory and cosmology. Analysis of information is needed in data compression, channel encoding, cryptography and often in the analysis
of information processing in the computer or in the brain.
Finally, the analysis of complexity is important for computer science, in particular algorithms, but more generally also for the investigation of complex and chaotic systems. Since 2004 the University of Ulm has operated a graduate school dedicated to the field of Mathematical Analysis of Evolution, Information and Complexity. This program brings together scientists from the disciplines of mathematics, electrical engineering, computer science and physics. Our rather unique school addresses topics that need a unified and highly interdisciplinary approach. The common thread of these problems is mathematical analysis demonstrating once more the newly emerging notion of mathematics as technology.
Our book highlights some of the scientific achievements of our school and therefore bears its name Mathematical Analysis of Evolution, Information and Complexity. In order to introduce the reader to the subject we give elementary and thus accessible introductions to timely themes taken from different parts of science and technology such as information theory, neuro-informatics and mathematical physics. Each article in the book was prepared by a team in which at least two different disciplines were represented. In this way mathematicians have collaborated on a chapter with physicists, or physicists have worked with electrical engineers and so on. Moreover, we have installed the rule that with every senior scientist there would be a graduate student working on this article.
We hope that this rule has led to easily understandable contributions. Mathematical Analysis of Evolution, Information and Complexity does not only represent the program of our school and has become the title of the book but has also served as the guiding principle for its organization. Indeed, we have chosen the three pillars “evolution”, “information” and “complexity” of the school as titles for the three parts of the book. For each one we have identified one or two major themes as shown in Table 0.1.
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