This article assesses whether the continuous time random walk (CTRW) model is useful in explaining and predicting fluctuations in the financial market dynamics. In service of this objective, we formalize the CTRW model for a financial market, and estimate some salient exponents of the model...

Cointegration is frequently used to assess the degree of interdependence of financial markets. We show that if a stock's price follows a stock specific random walk, market indices cannot be cointegrated. Indices are a mere combination of n different random walks which itself is non-stationary by...

We investigated the folding kinetics of a series of two-state proteins by using the model of general random walk in native contact number space, and derive the observed linear relationship between the logarithms of the folding rate constants and the numbers of native contacts from “kinetic...