This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

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 …

The existence of an observable precursory phase of slip on the fault before large
earthquakes has been debated for decades. Although observations preceding several large …

This textbook presents a modern account of turbulence, one of the greatest challenges in
physics. The state-of-the-art is put into historical perspective five centuries after the first …

This essential reference for graduate students and researchers provides a unified treatment
of earthquakes and faulting as two aspects of brittle tectonics at different timescales. The …

Over the past two decades percolation theory has been used to explain and model a wide
variety of phenomena that are of industrial and scientific importance. Examples include …

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 …

The scientific study of complex systems has transformed a wide range of disciplines in
recent years, enabling researchers in both the natural and social sciences to model and …

Many aspects of earthquake mechanics remain an enigma as we enter the closing years of
the twentieth century. One potential bright spot is the realization that simple calculations of …

通过建立孕震断层中锁固段的临界破坏-断裂力学与其蠕变过程联系, 发现每个锁固段断裂点与
加速应变能释放起点的累积Benioff 应变之比, 有着依赖于锁固段个数的指数律关系 …