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Tchebycheff systems and extremal problems for generalized moments: a brief survey
Tchebycheff systems Markov systems extremal problems
2011/7/19
A brief presentation of basics of the theory of Tchebycheff and Markov systems of functions and its applications to extremal problems for integrals of such functions is given.
Basic properties of strong mixing conditions. A survey and some open questions
strong mixing conditions stationary sequences
2009/5/18
This is an update of, and a supplement to, a 1986 survey paper by the author on basic properties of strong mixing conditions.
A survey of results on random random walks on finite groups
random walk finite group Upper Bound Lemma Fourier analysis
2009/5/18
A number of papers have examined various aspects of ``random random walks'' on finite groups; the purpose of this article is to provide a survey of this work and to show, bring together, and discuss s...
A survey of random processes with reinforcement
urn model urn scheme Pólya’s urn stochastic approximation dynamical system exchangeability Lyapunov function reinforced random walk ERRW VRRW learning agent-based model evolutionary game theory self-avoiding walk
2009/5/18
The models surveyed include generalized Polya urns, reinforced random walks, interacting urn models, and continuous reinforced processes. Emphasis is on methods and results, with sketches provided of ...