What are random walks?

Some articles on random walks, random walk, random:

Markov Chain Monte Carlo - Avoiding Random Walks
... be seen as a variation on Gibbs sampling it sometimes avoids random walks ... Hybrid Monte Carlo (HMC) Tries to avoid random walk behaviour by introducing an auxiliary momentum vector and implementing Hamiltonian dynamics where the potential energy function is the target density ... Some variations on slice sampling also avoid random walks ...
Random Walk
... A random walk is a mathematical formalization of a path that consists of a succession of random steps ... the financial status of a gambler can all be modeled as random walks, although they may not be truly random in reality ... The term random walk was first introduced by Karl Pearson in 1905 ...
Ising Model - More Than Four Dimensions - Symanzik Polymer Interpretation
... the correlations as fixed size quanta travelling along random walks gives a way of understanding why the critical dimension of the interaction is 4 ... H4 can be thought of as the square of the density of the random walkers at any point ... functions, which only introduce a few new random walks into the fluctuating environment, the new paths must intersect ...

Famous quotes containing the words walks and/or random:

    The vulgar look upon a man, who is reckoned a fine speaker, as a phenomenon, a supernatural being, and endowed with some peculiar gift of Heaven; they stare at him, if he walks in the park, and cry, that is he. You will, I am sure, view him in a juster light, and nulla formidine. You will consider him only as a man of good sense, who adorns common thoughts with the graces of elocution, and the elegancy of style. The miracle will then cease.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

    There is a potential 4-6 percentage point net gain for the President [George Bush] by replacing Dan Quayle on the ticket with someone of neutral stature.
    Mary Matalin, U.S. Republican political advisor, author, and James Carville b. 1946, U.S. Democratic political advisor, author. All’s Fair: Love, War, and Running for President, p. 205, Random House (1994)