Random walks and percolation theory form a fundamental confluence in modern statistical physics and probability theory. Random walks describe the seemingly erratic movement of particles or entities, ...

We study the range Rn of a random walk on the d-dimensional lattice ℤd indexed by a random tree with n vertices. Under the assumption that the random walk is centered and has finite fourth moments, we ...

Random walk theory holds that short-term and mid-term price movements of a specific stock appear to be random and thus are unpredictable. Using a share price’s past movements, for example, is an ...

For many financial professionals, Burton Malkiel's classic has served as a trusted guide for nearly 50 years. Many investors use it to understand how markets work. This review takes a closer look at ...

Theory that stock price changes from day to day are accidental or haphazard; changes are independent of each other and have the same probability distribution. For a simple random walk, the best ...