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On the size of the algebraic difference of two random Cantor sets   
摘  要:   In this paper we consider some families of random Cantor sets on the line and investi- gate the question whether the condition that the sum of Hausdorff dimension is larger than one implies the existence of interior points in the difference set of two independent copies. We prove that this is the case for the so called Mandelbrot percolation. On the other hand the same is not always true if we apply a slightly more general construction of random Cantor sets. We also present a complete solution for the deterministic case. © 2007 Wiley Periodicals, Inc. Random Struct. Alg., 00, 000-000, 2007
发  表:   Random Structures and Algorithms  2008

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