Advances in Applied Probability, Vol. 48, No. 1 (MARCH 2016), pp. 199-214 (16 pages) We provide exact computations for the drift of random walks in dependent random environments, including k-dependent ...

We derive a perturbation expansion for general self-interacting random walks, where steps are made on the basis of the history of the path. Examples of models where this expansion applies are ...

Random walks constitute one of the cornerstone concepts in probability theory and statistical physics, representing a class of stochastic processes in which a moving entity takes successive steps in ...

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, ...

The random walk theorem, first presented by French mathematician Louis Bachelier in 1900 and then expanded upon by economist Burton Malkiel in his 1973 book A Random Walk Down Wall Street, asserts ...

Tim Smith has 20+ years of experience in the financial services industry, both as a writer and as a trader. Gordon Scott has been an active investor and technical analyst or 20+ years. He is a ...

Albert Phung has 7+ years of experience as a process improvement consultant for several businesses; currently with Alberta Health Services. Suzanne is a content marketer, writer, and fact-checker. She ...