Bi-free probability theory and reflection positivity

被引:0
|
作者
Speicher, Roland [1 ]
机构
[1] Saarland Univ, Dept Math, D-66123 Saarbrucken, Germany
关键词
Bi-freeness; reflection positivity;
D O I
10.1142/S0219025724400095
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We point out that bi-free product constructions respect reflection positivity.
引用
收藏
页数:5
相关论文
共 50 条
  • [21] Bi-free entropy with respect to completely positive maps
    Katsimpas, Georgios
    Skoufranis, Paul
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2024, 76 (04): : 1163 - 1239
  • [22] Principal Functions for Bi-free Central Limit Distributions
    Kenneth J. Dykema
    Wonhee Na
    Integral Equations and Operator Theory, 2016, 85 : 91 - 108
  • [23] Harmonic analysis for the bi-free partial S-transform
    Huang, Hao-Wei
    Wang, Jiun-Chau
    JOURNAL OF FUNCTIONAL ANALYSIS, 2018, 274 (05) : 1306 - 1344
  • [24] Analytic aspects of the bi-free partial R-transform
    Huang, Hao-Wei
    Wang, Jiun-Chau
    JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (04) : 922 - 957
  • [25] A COMBINATORIAL APPROACH TO VOICULESCU'S BI-FREE PARTIAL TRANSFORMS
    Skoufranis, Paul
    PACIFIC JOURNAL OF MATHEMATICS, 2016, 283 (02) : 419 - 447
  • [26] Reflection positivity of free overlap fermions
    Kikukawa, Yoshio
    Usui, Kouta
    PHYSICAL REVIEW D, 2010, 82 (11):
  • [27] Reflection positivity, duality, and spectral theory
    Jorgensen, Palle
    Tian, Feng
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2019, 59 (1-2) : 361 - 404
  • [28] Reflection positivity, duality, and spectral theory
    Palle Jorgensen
    Feng Tian
    Journal of Applied Mathematics and Computing, 2019, 59 : 361 - 404
  • [29] A COMBINATORIAL APPROACH TO THE OPPOSITE BI-FREE PARTIAL S-TRANSFORM
    Skoufranis, Paul
    OPERATORS AND MATRICES, 2018, 12 (02): : 333 - 355
  • [30] Free probability for pairs of faces II: 2-variables bi-free partial R-transform and systems with rank ≤ 1 commutation
    Voiculescu, Dan-Virgil
    ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES, 2016, 52 (01): : 1 - 15