In this paper, we perform statistical segmentation and clustering analysis of the Dow Jones Industrial Average (DJI) time series between January 1997 and August 2008. Modeling the index movements and log-index movements as stationary Gaussian processes, we find a total of 116 and 119...

We analyzed 546 stocks in the Singapore Stock Exchange (SGX) and 1173 stocks in the Hong Kong Stock Exchange (HKSE) in 2006 and 2007, to understand how financial hierarchies on these two markets change over market corrections and crashes. To do so, we introduced the digital cross correlation as...

We describe a bottom–up framework, based on the identification of appropriate order parameters and determination of phase diagrams, for understanding progressively refined agent-based models and simulations of financial markets. We illustrate this framework by starting with a deterministic toy...