Scale Free Networks With Hubs

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A year after our paper on the small world Reika albert and her advisor lazzlo baribashi wrote a paper about what they called scale free networks that had not only hubs but also low weisberg's. They obeyed a power law in that there was the probability of having a certain number of friends went down like the number of friends to some power one over it was an inverse. Since then people have you know figured out that real networks are more complicated than the models either of us proposed which was no surprise we were both short putting out really idealized simple models.

One of the most important insights in the history of science is the fact that complex behavior can arise from the undirected movements of small, simple systems. Despite the fact that we know this, we’re still working to truly understand it — to uncover the mechanisms by which, and conditions under which, complexity can emerge from simplicity. (Coincidentally, a new feature in Quanta on this precise topic came out while this episode was being edited.) Steven Strogatz is a leading researcher in this field, a pioneer both in the subject of synchronization and in that of small-world networks. He’s also an avid writer and wide-ranging thinker, so we also talk about problems with the way we educate young scientists, and the importance of calculus, the subject of his new book. Support Mindscape on Patreon or Paypal. Steven Strogatz received his Ph.D. in applied mathematics from Harvard, and is currently the Jacob Gould Schurman Professor of Applied Mathematics at Cornell. His work has ranged over a wide variety of topics in mathematical biology, nonlinear dynamics, networks, and complex systems. He is the author of a number of books, including SYNC, The Joy of x, and most recently Infinite Powers. His awards include teaching prizes at MIT and Cornell, as well as major prizes from the Joint Policy Board for Mathematics, the American Association for the Advancement of Science, the Mathematical Association of America, and the Lewis Thomas Prize. Web site Cornell web page Google scholar page Amazon author page Wikipedia TED talk on synchronization Twitter See Privacy Policy at https://art19.com/privacy and California Privacy Notice at https://art19.com/privacy#do-not-sell-my-info.