Accardi, Luigi; Hashimoto, Yukihiro; Obata, Nobuaki Notions of independence related to the free group. (English) Zbl 0913.46057 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 1, No. 2, 201-220 (1998). Cited in 2 ReviewsCited in 22 Documents MSC: 46N30 Applications of functional analysis in probability theory and statistics 81S25 Quantum stochastic calculus Keywords:central limit problem; algebraic probability spaces associated with the Haagerup states; free group with countably many generators; statistical independence; nonsymmetric distributions; Gaussian law; Ullman distribution; finite temperature Boltzmannian Fock space PDF BibTeX XML Cite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 1, No. 2, 201--220 (1998; Zbl 0913.46057) Full Text: DOI OpenURL References: [1] DOI: 10.2977/prims/1195184017 · Zbl 0498.60099 [2] DOI: 10.1007/s004400050119 · Zbl 0954.60029 [3] Bo\.zejko M., Studia Math. 95 pp 107– (1989) [4] DOI: 10.2140/pjm.1996.175.357 · Zbl 0874.60010 [5] DOI: 10.1017/S0305004100053093 · Zbl 0351.20024 [6] DOI: 10.1007/BF01192140 · Zbl 0729.60074 [7] DOI: 10.1007/BF00536048 · Zbl 0362.60043 [8] DOI: 10.1007/BF01410082 · Zbl 0408.46046 [9] DOI: 10.1142/S0219025798000144 · Zbl 0922.05036 [10] DOI: 10.1007/BF01393251 · Zbl 0379.46060 [11] Lenczewski R., Plenum 199 pp 299– [12] Lyndon R., Math. Scand. 12 pp 209– (1963) · Zbl 0119.26402 [13] DOI: 10.1007/BF01197843 · Zbl 0671.60109 [14] Voiculescu D., World Scientific 199 pp 473– [15] DOI: 10.1007/BF02100050 · Zbl 0781.60006 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.