Limit theorems in infinitesimal non-commutative probability spaces
CUI Han-zhe 1,2, XUE Yi-feng 1
1. Department of Mathematics, East China Normal University, Shanghai 200241, China; 2. Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, China
CUI Han-zhe, XUE Yi-feng. Limit theorems in infinitesimal non-commutative probability spaces[J]. Journal of East China Normal University(Natural Sc, 2012, 2012(3): 56-60,96.
{1}NICA A, SPEICHER R. Lectures on the Combinatorics of Free Probability [M]. London Mathematical Society Lecture Note Series 335. Cambridge: Cambridge University Press, 2006.{2}REINER V. Non-crossing partitions for classical reflection group[J]. Discrete Mathematics, 1997, 177: 195-222.{3}BIANE P, GOODMAN F, NICA A. Non-crossing cumulants of type B[J]. Transactions of the American Mathematical Society, 2003, 355: 2263-2303.{4}BELINSCHI S, SHLYAKHTENKO D. Free probability of type B: analytic aspects and applications [J/OL]. Preprint, arXiv: 0903.2721, 2009.{5}FEVRIER M, NICA A. Infinitesimal non-crossing cumulants and free probability of Type B [J]. J Funct Anal, 2010, 258: 2983-2023.
中国综合性科技类核心期刊(北大核心)