We study a rational expectation model of bubbles and crashes. The model has two components:
(1) our key assumption is that a crash may be caused by local self-reinforcing imitation …

We discuss the concept of discrete-scale invariance and how it leads to complex critical
exponents (or dimensions), ie to the log-periodic corrections to scaling. After their initial …

We present an analysis of the time behavior of the $ S\&P500 $(Standard and Poors) New
York stock exchange index before and after the October 1987 market crash and identify …

This review presents a general theory of financial crashes and of stock market instabilities
that his co-workers and the author have developed over the past seven years. We start by …

Concepts, methods and techniques of statistical physics in the study of correlated, as well
as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, …

We develop the concept of ``dragon-kings'' corresponding to meaningful outliers, which are
found to coexist with power laws in the distributions of event sizes under a broad range of …

We study the relaxation response of a social system after endogenous and exogenous bursts
of activity using the time series of daily views for nearly 5 million videos on YouTube. We …

We suggest that the concept of self-organized criticality (SOC) is relevant for understanding
the processes underlying earthquakes. Earthquakes are an important part of the relaxation …

The current economic crisis illustrates a critical need for new and fundamental understanding
of the structure and dynamics of economic networks. Economic systems are increasingly …

… In this book, Didier Sornette boldly applies his varied … Sornette proposes a radically different
view: the underlying cause … Sornette probes major historical precedents, from the decades-…