How a complex network is connected crucially impacts its dynamics and function. Percolation, the transition to extensive connectedness on gradual addition of links, was long believed to be continuous, ...

The Annals of Applied Probability, Vol. 3, No. 1 (Feb., 1993), pp. 56-80 (25 pages) Consider first-passage percolation on Zd. A classical result says, roughly speaking, that the shortest travel time ...

Researchers are uncovering the hidden laws that reveal how the Internet grows, how viruses spread, and how financial bubbles burst. Last week, United Airlines grounded nearly 5,000 flights when its ...

Alexander Hartmann, a physicist at the University of Oldenburg, in Germany, has introduced a new model to explain a common word puzzle phenomenon. In his paper published in the journal Physical Review ...