Power Laws

Iddo Eliazar is an avid multi-disciplinary explorer of randomness, with about 150 scientific research publications on Operations Research, Stochastic Modeling, Statistical Physics, Econo-Physics and Socio-Physics. In academia, he held senior faculty positions at Tel Aviv University, at Bar Ilan University, and at the Holon Institute of Technology. In industry, he served as a Research Scientist at Intel's New Devices Group, and as a Section Head at Bank Hapoalim's Department of Analytic Development. Dr. Eliazar holds the following degrees from Tel-Aviv University: BSc in Mathematics and Statistics (Summa Cum Laude), MSc in Operations Research (Summa Cum Laude), and PhD.

Introduction.- From lognormal to power.- The Poisson law.- Framework.- Threshold analysis.- Hazard rates.- Order statistics.- Exponent estimation.- Socioeconomic analysis.- Fractality.- Sums.- Dynamics.- Limit laws.- First digits.- Back to lognormal.- Conclusion.- Appendix.

"A suitable book for both theoretical scholars and practitioners. The formal aspects are rigorously, and elegantly, presented and complex mathematical tools are always used to clarify and ease the reading. ... we strongly recommend the reading of this comprehensive and well written monograph a book that should not be missing in the libraries of Departments of Mathematics and Statistics, and that may be of interest to both experienced researchers and practitioners." (Giovanni Maria Giorgi, METRON, April 9, 2021)