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term random walk was first introduced by Karl Pearson in 1905. Realizations of random walks can be obtained by Monte Carlo simulation. A popular random walk...

The random walk hypothesis is a financial theory stating that stock market prices evolve according to a random walk (so price changes are random) and thus...

Quantum walks are quantum analogs of classical random walks. In contrast to the classical random walk, where the walker occupies definite states and the...

ISBN 978-1-118-59320-2. Barry D. Hughes (1995). Random Walks and Random Environments: Random walks. Clarendon Press. p. 111. ISBN 978-0-19-853788-5....

such as composite correlated random walks, which grow across scales to converge on optimal Lévy walks. Composite Brownian walks can be finely tuned to theoretically...

In mathematics, loop-erased random walk is a model for a random simple path with important applications in combinatorics, physics and quantum field theory...

A Random Walk Down Wall Street, written by Burton Gordon Malkiel, a Princeton University economist, is a book on the subject of stock markets which popularized...

and leads to a self-avoiding random walk. Self-avoiding random walks have different statistics to simple random walks. The statistics of a single polymer...

the pixels. Therefore, the random walk occurs on the weighted graph (see Doyle and Snell for an introduction to random walks on graphs). Although the initial...

probability theory, a branching random walk is a stochastic process that generalizes both the concept of a random walk and of a branching process. At every...

new states; unlike in a pure random walk, the probabilities of the potential new states are unequal. Biased random walks on a graph provide an approach...

Random Walk is a 1988 novel by Lawrence Block. It was first published by Tor Books. One day, Guthrie Wagner hears a voice telling him to abandon his life...

mathematics, a continuous-time random walk (CTRW) is a generalization of a random walk where the wandering particle waits for a random time between jumps. It...

{p-q}{p+q}}} . Another equivalent problem is to calculate the number of random walks on the integers that consist of n steps of unit length, beginning at...

that random walks through a graph can be treated like sentences in a corpus. Each node in a graph is treated like an individual word, and a random walk is...

for Functionals of Random Walks. AMS Bookstore. Theorem 1.1, p. 8. ISBN 0-8218-0438-3. Petrov, V. V. (1976). Sums of Independent Random Variables. New York-Heidelberg:...

signal noise produced by Brownian motion, hence its alternative name of random walk noise. The term "Brown noise" does not come from the color, but after...

n-step self-avoiding walks. The pivot algorithm works by taking a self-avoiding walk and randomly choosing a point on this walk, and then applying symmetrical...

walks on the Bethe lattice with degree d {\displaystyle d} starting at a particular vertex, as we can map the walks on the Bethe lattice to the walks...

concept of diffusion is typically applied to any subject matter involving random walks in ensembles of individuals. In chemistry and materials science, diffusion...