منابع مشابه
Multivariate medians and measure-symmetrization
Geometric and stochastic ideas interact in a wide variety of ways over both theory and applications. For two connections that do not seem to have been mentioned before, we present here descriptive comments and suggestions for further investigation. The first deals with multivariate medians, an active area of research in which Yehuda himself was interested (see [11] with Cun-Hui Zhang). Using th...
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Let J be the Julia set of a conformal dynamics f . Provided that f is polynomial-like we prove that the harmonic measure on J is mutually absolutely continuous with the measure of maximal entropy if and only if f is conformally equivalent to a polynomial. This is no longer true for generalized polynomial-like maps. But for such dynamics the coincidence of classes of these two measures turns out...
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We would like to know how harmonic measure is distributed over the the boundary. Typically, the concentration of harmonic measure varies widely — it is higher on the more ”exposed” parts of the boundary and smaller on the ”screened” parts. It has become usual (see, e.g., [H]) to consider the dimension spectrum of a measure — a continuum of parameters characterising the size of the sets where th...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2008
ISSN: 0019-2082
DOI: 10.1215/ijm/1254403722