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Название: The Existence of Phase V in the Mandelbrot Percolation Process
Авторы: Wu J., Liu X.
Dekking and Meester defined six phases for a subclass of random Cantor sets consisting of those generated by Bernoulli random substitutions. They proved that the random Sierpinski carpet passed through all these phases as p tended from 0 to 1, but they were not able to prove the existence of phase V in the Mandelbrot percolation process. In this paper, we accomplish the proof by improving their methods.