Accardi, L.; Lu, Yu. G. Fermions from classical probability and statistics defined by stochastic independence. (English) Zbl 07771707 Izv. Math. 87, No. 5, 855-890 (2023) and Izv. Ross. Akad. Nauk, Ser. Mat. 87, No. 5, 5-40 (2023). MSC: 82C10 46N50 81S20 81T70 PDFBibTeX XMLCite \textit{L. Accardi} and \textit{Yu. G. Lu}, Izv. Math. 87, No. 5, 855--890 (2023; Zbl 07771707) Full Text: DOI MNR
Lenczewski, Romuald Motzkin path decompositions of functionals in noncommutative probability. (English) Zbl 1516.46043 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 4, Article ID 2240002, 44 p. (2022). MSC: 46L53 46L54 PDFBibTeX XMLCite \textit{R. Lenczewski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 4, Article ID 2240002, 44 p. (2022; Zbl 1516.46043) Full Text: DOI arXiv
Davis, Ethan; Jekel, David; Wang, Zhichao Tree convolution for probability distributions with unbounded support. (English) Zbl 1481.46070 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1585-1623 (2021). MSC: 46L53 46L54 05C76 60F05 60E07 PDFBibTeX XMLCite \textit{E. Davis} et al., ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 2, 1585--1623 (2021; Zbl 1481.46070) Full Text: arXiv Link
Oussi, Lahcen; Wysoczański, Janusz Noncommutative analogues of the law of small numbers for random variables indexed by elements of positive symmetric cones. (English) Zbl 1461.46064 ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 35-67 (2021). Reviewer: Adam Skalski (Warszawa) MSC: 46L53 60F99 PDFBibTeX XMLCite \textit{L. Oussi} and \textit{J. Wysoczański}, ALEA, Lat. Am. J. Probab. Math. Stat. 18, No. 1, 35--67 (2021; Zbl 1461.46064) Full Text: Link
Dacko, Adrian \(V\)-monotone independence. (English) Zbl 1457.46066 Colloq. Math. 162, No. 1, 77-107 (2020). Reviewer: Alexander Belton (Lancaster) MSC: 46L53 05A18 PDFBibTeX XMLCite \textit{A. Dacko}, Colloq. Math. 162, No. 1, 77--107 (2020; Zbl 1457.46066) Full Text: DOI arXiv
Lenczewski, Romuald Conditionally monotone independence and the associated products of graphs. (English) Zbl 1451.46053 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 4, Article ID 1950023, 24 p. (2019). MSC: 46L53 05C76 PDFBibTeX XMLCite \textit{R. Lenczewski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 4, Article ID 1950023, 24 p. (2019; Zbl 1451.46053) Full Text: DOI arXiv
Accardi, Luigi; Barhoumi, Abdessatar; Rhaima, Mohamed An information complexity index for probability measures on \(\mathbb{R}\) with all moments. (English) Zbl 1354.60009 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 3, Article ID 1650015, 15 p. (2016). MSC: 60B99 62B10 17B81 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 19, No. 3, Article ID 1650015, 15 p. (2016; Zbl 1354.60009) Full Text: DOI
Anshelevich, Michael Appell polynomials and their relatives. III: Conditionally free theory. (English) Zbl 1185.46044 Ill. J. Math. 53, No. 1, 39-66 (2009). MSC: 46L53 46L54 42C05 PDFBibTeX XMLCite \textit{M. Anshelevich}, Ill. J. Math. 53, No. 1, 39--66 (2009; Zbl 1185.46044) Full Text: arXiv Euclid
Accardi, Luigi; Lenczewski, Romuald; Sałapata, Rafał Decompositions of the free product of graphs. (English) Zbl 1142.05333 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, No. 3, 303-334 (2007). MSC: 05C50 46L54 47A10 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 10, No. 3, 303--334 (2007; Zbl 1142.05333) Full Text: DOI arXiv
Lenczewski, Romuald Decompositions of the free additive convolution. (English) Zbl 1129.46055 J. Funct. Anal. 246, No. 2, 330-365 (2007). Reviewer: Isamu Dôku (Saitama) MSC: 46L54 46L53 28A33 PDFBibTeX XMLCite \textit{R. Lenczewski}, J. Funct. Anal. 246, No. 2, 330--365 (2007; Zbl 1129.46055) Full Text: DOI arXiv
Bożejko, Marek; Krystek, Anna Dorota; Wojakowski, Łukasz Jan Remarks on the \(r\) and \(\Delta\) convolutions. (English) Zbl 1116.46054 Math. Z. 253, No. 1, 177-196 (2006). Reviewer: Ion Cuculescu (Bucureşti) MSC: 46L54 60E10 PDFBibTeX XMLCite \textit{M. Bożejko} et al., Math. Z. 253, No. 1, 177--196 (2006; Zbl 1116.46054) Full Text: DOI
Lenczewski, Romuald; Sałapata, Rafał Discrete interpolation between monotone probability and free probability. (English) Zbl 1139.46302 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9, No. 1, 77-106 (2006). MSC: 46L54 PDFBibTeX XMLCite \textit{R. Lenczewski} and \textit{R. Sałapata}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 9, No. 1, 77--106 (2006; Zbl 1139.46302) Full Text: DOI arXiv
Wysoczański, Janusz Monotonic independence on the weakly monotone Fock space and related Poisson type theorem. (English) Zbl 1087.46043 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 2, 259-275 (2005). MSC: 46L54 81R50 PDFBibTeX XMLCite \textit{J. Wysoczański}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 8, No. 2, 259--275 (2005; Zbl 1087.46043) Full Text: DOI
Accardi, Luigi; Ghorbal, Anis Ben; Obata, Nobuaki Monotone independence, comb graphs and Bose-Einstein condensation. (English) Zbl 1073.81057 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 3, 419-435 (2004). MSC: 81S25 82B20 05C50 60F05 PDFBibTeX XMLCite \textit{L. Accardi} et al., Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 3, 419--435 (2004; Zbl 1073.81057) Full Text: DOI
Lenczewski, Romuald Reduction of free independence to tensor independence. (English) Zbl 1059.46048 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 3, 337-360 (2004). MSC: 46L54 81R50 PDFBibTeX XMLCite \textit{R. Lenczewski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 7, No. 3, 337--360 (2004; Zbl 1059.46048) Full Text: DOI arXiv
Muraki, Naofumi The five independences as quasi-universal products. (English) Zbl 1055.46514 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 1, 113-134 (2002). MSC: 46L54 46L53 PDFBibTeX XMLCite \textit{N. Muraki}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 5, No. 1, 113--134 (2002; Zbl 1055.46514) Full Text: DOI
Lenczewski, Romuald Filtered stochastic calculus. (English) Zbl 1042.81052 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 4, No. 3, 309-346 (2001). MSC: 81S20 46L50 PDFBibTeX XMLCite \textit{R. Lenczewski}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 4, No. 3, 309--346 (2001; Zbl 1042.81052) Full Text: DOI arXiv
Lenczewski, Romuald Filtered random variables, bialgebras, and convolutions. (English) Zbl 1019.81029 J. Math. Phys. 42, No. 12, 5876-5903 (2001). MSC: 81S25 81R12 60B15 81S05 81V70 PDFBibTeX XMLCite \textit{R. Lenczewski}, J. Math. Phys. 42, No. 12, 5876--5903 (2001; Zbl 1019.81029) Full Text: DOI arXiv