| 12 | Semi-stable distributions in free probability theory显示文摘Semi-stable distributions, in classical probability theory, are characterized as limiting distributions of subsequences of normalized partial sums of independent and identically distributed random variables. We establish the noncommutative counterpart of semi-stable distributions. We study the characterization of noncommutative semi-stability through free cumulant transform and develop the free semi-stability and domain of semi-stable attraction in free probability theory. | Shandong University, Ji’nan 250100, China Department of Mathematics and Statistics, Memorial University of Newfoundland, HH 3050, St. John’s, A1C 5S7, Canada | 2006 | Science China Mathematics2006，49，3： | 0 |
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