Harmonic explorer and its convergence to SLE4
نویسندگان
چکیده
منابع مشابه
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The harmonic explorer is a random grid path. Very roughly, at each step the harmonic explorer takes a turn to the right with probability equal to the discrete harmonic measure of the left hand side of the path from a point near the end of the current path. We prove that the harmonic explorer converges to SLE4 as the grid gets finer.
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15 صفحه اولThe convergence of harmonic Ritz values, harmonic Ritz vectors and refined harmonic Ritz vectors
This paper concerns a harmonic projection method for computing an approximation to an eigenpair (λ, x) of a large matrix A. Given a target point τ and a subspace W that contains an approximation to x, the harmonic projection method returns an approximation (μ + τ, x̃) to (λ, x). Three convergence results are established as the deviation of x from W approaches zero. First, the harmonic Ritz value...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 2005
ISSN: 0091-1798
DOI: 10.1214/009117905000000477