Michael Rudolph

Since the early eighteenth century, the theory of networks and graphs has matured into an indispensable tool for describing countless real-world phenomena. However, the study of large-scale features of a network often requires unrealistic limits, such as taking the network size to infinity or assuming a continuum. These asymptotic and analytic approaches can significantly diverge from real or simulated networks when applied at the finite scales of real-world applications. This book offers an approach to overcoming these limitations by introducing operator graph theory, an exact, non-asymptotic set of tools combining graph theory with operator calculus. The book is intended for mathematicians, physicists, and other scientists interested in discrete finite systems and their graph-theoretical description, and in delineating the abstract algebraic structures that characterise such systems. All the necessary background on graph theory and operator calculus is included for readers to understand the potential applications of operator graph theory.

An Introduction to Operator Graph Theory

The Mathematics of Finite Networks

Offers an exact, non-asymptotic approach to studying large-scale features of finite networks that arise in real applications.

Klaus-Peter Köpping

Bernhard Leistle

"To which extent is ritual involved in the formation of collective and personal identities? What are the mechanisms that are responsible for the (mostly pre-reflexive) constitution of identity in ritual; and - equally important - what are the strategies employed by social actors to actively influence and enhance these constitutive processes? In order to find answers to these essential questions, authors refer to case studies from their respective areas of field research such as Japan, Morocco, Taiwan, Korea, India, and the Azores. Kpping is professor of anthropology at the Institute of Ethnology at Heidelberg University and also guest-professor at Goldsmith College London. His research focusses on popular and folk-religious practices in Japan through the lens of performance theories. Leistle is a doctoral candidate at the Institute of Ethnology at Heidelberg University. In his research focussing on Moroocan trance rituals he concentrates on theories of the phenomenology of perception.

Michael Rudolph

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