Why We Live in Hierarchies? A Quantitative Treatise

This book systematically interprets and documents new, unifying principles and basic laws describing the most relevant aspects of hierarchy. To do so, it discusses recent experiments and models that are simple and realistic enough to reproduce the observa

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Anna Zafeiris Tamás Vicsek

Why We Live in Hierarchies? A Quantitative Treatise

123

SpringerBriefs in Complexity Editorial Board for Springer Complexity Henry D.I. Abarbanel, La Jolla, USA Dan Braha, Dartmouth, USA Péter Érdi, Kalamazoo, USA Karl J. Friston, London, UK Hermann Haken, Stuttgart, Germany Viktor Jirsa, Marseille, France Janusz Kacprzyk, Warsaw, Poland Kunihiko Kaneko, Tokyo, Japan Scott Kelso, Boca Raton, USA Markus Kirkilionis, Coventry, UK Jürgen Kurths, Potsdam, Germany Andrzej Nowak, Warsaw, Poland Ronaldo Menezes, Melbourne, USA Hassan Qudrat-Ullah, Toronto, Canada Peter Schuster, Vienna, Austria Frank Schweitzer, Zürich, Switzerland Didier Sornette, Zürich, Switzerland Stefan Thurner, Vienna, Austria

SpringerBriefs in Complexity are a series of slim high-quality publications encompassing the entire spectrum of complex systems science and technology. Featuring compact volumes of 50 to 125 pages (approximately 20,000–45,000 words), Briefs are shorter than a conventional book but longer than a journal article. Thus Briefs serve as timely, concise tools for students, researchers, and professionals. Typical texts for publication might include: A snapshot review of the current state of a hot or emerging field A concise introduction to core concepts that students must understand in order to make independent contributions An extended research report giving more details and discussion than is possible in a conventional journal article, A manual describing underlying principles and best practices for an experimental or computational technique An essay exploring new ideas broader topics such as science and society Briefs allow authors to present their ideas and readers to absorb them with minimal time investment. Briefs are published as part of Springer's eBook collection, with millions of users worldwide. In addition, Briefs are available, just like books, for individual print and electronic purchase. Briefs are characterized by fast, global electronic dissemination, straightforward publishing agreements, easy-to-use manuscript preparation and formatting guidelines, and expedited production schedules. We aim for publication 8–12 weeks after acceptance. SpringerBriefs in Complexity are an integral part of the Springer Complexity publishing program. Proposals should be sent to the responsible Springer editors or to a member of the Springer Complexity editorial and program advisory board (springer.com/complexity).

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Anna Zafeiris Tamás Vicsek •

Why We Live in Hierarchies? A Quantitative Treatise

123

Anna Zafeiris Biological Physics Department ELTE Budapest Hungary

Tamás Vicsek Department of Biological Physics Eötvös Loránd University Budapest Hungary

ISSN 2191-5326 ISSN 2191-5334 (electronic) SpringerBriefs in Complexity ISBN 978-3-319-70481-4 ISBN 978-3-319-70483-8 (eBook) https://doi.org/10.1007/978-3-319-70483-8 Library of Congress Control Number: 2017957663 © The Author(s) 2018 This work is subject to copyright. All righ