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@article{Authenticus:P-00X-9EW, title = {{On the connectivity properties of the complementary set in fractal percolation models}}, author = {Menshikov M. and Popov S. and Vachkovskaia M.}, doi = {10.1007/pl00008757}, journal = {Probability Theory and Related Fields}, number = {2}, pages = {176-186}, publisher = {Springer Science and Business Media LLC}, type = {Article}, volume = {119}, year = {2001} }