Zhang, Lu; Wang, Caishi Quantum Markov semigroup for open quantum system interacting with quantum Bernoulli noises. (English) Zbl 1522.81162 Rev. Math. Phys. 35, No. 8, Article ID 2350015, 30 p. (2023). MSC: 81S25 60H40 81S22 PDFBibTeX XMLCite \textit{L. Zhang} and \textit{C. Wang}, Rev. Math. Phys. 35, No. 8, Article ID 2350015, 30 p. (2023; Zbl 1522.81162) Full Text: DOI
Zhang, Jing; Wang, Caishi; Zhang, Lixia; Zhang, Lu Generalized weighted number operators on functionals of discrete-time normal martingales. (English) Zbl 1525.60089 Stochastics 95, No. 6, 1078-1100 (2023). MSC: 60H40 81S25 60F05 PDFBibTeX XMLCite \textit{J. Zhang} et al., Stochastics 95, No. 6, 1078--1100 (2023; Zbl 1525.60089) Full Text: DOI arXiv
Chen, Jinshu; Hai, Shexiang Ergodicity of exclusion semigroups constructed from quantum Bernoulli noises. (English) Zbl 1528.46051 Stoch. Dyn. 23, No. 3, Article ID 2350023, 21 p. (2023). MSC: 46L53 46L55 47D07 47N50 60H40 PDFBibTeX XMLCite \textit{J. Chen} and \textit{S. Hai}, Stoch. Dyn. 23, No. 3, Article ID 2350023, 21 p. (2023; Zbl 1528.46051) Full Text: DOI
Koike, Yuta High-dimensional central limit theorems for homogeneous sums. (English) Zbl 1514.60036 J. Theor. Probab. 36, No. 1, 1-45 (2023). Reviewer: Fraser Daly (Edinburgh) MSC: 60F05 62E17 47D07 PDFBibTeX XMLCite \textit{Y. Koike}, J. Theor. Probab. 36, No. 1, 1--45 (2023; Zbl 1514.60036) Full Text: DOI arXiv
Gaunt, Robert E.; Li, Siqi Bounding Kolmogorov distances through Wasserstein and related integral probability metrics. (English) Zbl 1510.60010 J. Math. Anal. Appl. 522, No. 1, Article ID 126985, 24 p. (2023). Reviewer: Carlo Sempi (Lecce) MSC: 60E05 PDFBibTeX XMLCite \textit{R. E. Gaunt} and \textit{S. Li}, J. Math. Anal. Appl. 522, No. 1, Article ID 126985, 24 p. (2023; Zbl 1510.60010) Full Text: DOI arXiv
Döbler, Christian; Kasprzak, Mikołaj; Peccati, Giovanni The multivariate functional de Jong CLT. (English) Zbl 1500.60018 Probab. Theory Relat. Fields 184, No. 1-2, 367-399 (2022). MSC: 60F17 60D05 62G20 PDFBibTeX XMLCite \textit{C. Döbler} et al., Probab. Theory Relat. Fields 184, No. 1--2, 367--399 (2022; Zbl 1500.60018) Full Text: DOI arXiv
Privault, Nicolas; Serafin, Grzegorz Normal approximation for generalized \(U\)-statistics and weighted random graphs. (English) Zbl 1503.60012 Stochastics 94, No. 3, 432-458 (2022). Reviewer: Nikolaos Fountoulakis (Birmingham) MSC: 60C05 05C80 60F05 60H07 PDFBibTeX XMLCite \textit{N. Privault} and \textit{G. Serafin}, Stochastics 94, No. 3, 432--458 (2022; Zbl 1503.60012) Full Text: DOI arXiv
Privault, Nicolas; Serafin, Grzegorz Berry-Esseen bounds for functionals of independent random variables. (English) Zbl 1492.60059 Electron. J. Probab. 27, Paper No. 71, 37 p. (2022). MSC: 60F05 60G57 60H07 62G99 PDFBibTeX XMLCite \textit{N. Privault} and \textit{G. Serafin}, Electron. J. Probab. 27, Paper No. 71, 37 p. (2022; Zbl 1492.60059) Full Text: DOI arXiv
Zhang, Jing; Wang, Caishi; Zhang, Lu; Zhang, Lixia Spectral integrals of Bernoulli generalized functionals. (English) Zbl 1495.60047 Stochastics 94, No. 4, 519-536 (2022). MSC: 60H07 60H40 46F05 46G12 PDFBibTeX XMLCite \textit{J. Zhang} et al., Stochastics 94, No. 4, 519--536 (2022; Zbl 1495.60047) Full Text: DOI arXiv
Breton, Jean-Christophe; Privault, Nicolas Wasserstein distance estimates for stochastic integrals by forward-backward stochastic calculus. (English) Zbl 07464232 Potential Anal. 56, No. 1, 1-20 (2022). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60H05 60H10 60G57 60G44 60J60 60J74 PDFBibTeX XMLCite \textit{J.-C. Breton} and \textit{N. Privault}, Potential Anal. 56, No. 1, 1--20 (2022; Zbl 07464232) Full Text: DOI
Chen, Jinshu Quantum Feller semigroup in terms of quantum Bernoulli noises. (English) Zbl 1498.46068 Stoch. Dyn. 21, No. 4, Article ID 2150015, 15 p. (2021). MSC: 46L53 46L60 46L55 47N50 81P16 PDFBibTeX XMLCite \textit{J. Chen}, Stoch. Dyn. 21, No. 4, Article ID 2150015, 15 p. (2021; Zbl 1498.46068) Full Text: DOI
Ren, Suling; Wang, Caishi; Tang, Yuling Quantum Bernoulli noises approach to stochastic Schrödinger equation of exclusion type. (English) Zbl 1452.81103 J. Math. Phys. 61, No. 6, 063509, 13 p. (2020). MSC: 81Q05 35R60 60J67 81S22 11R60 PDFBibTeX XMLCite \textit{S. Ren} et al., J. Math. Phys. 61, No. 6, 063509, 13 p. (2020; Zbl 1452.81103) Full Text: DOI
Jinshu, Chen The Bochner-convolution integral for generalized functional-valued functions of discrete-time normal martingales. (English) Zbl 1460.60073 Turk. J. Math. 44, No. 3, 698-711 (2020). MSC: 60H40 60G42 46G10 PDFBibTeX XMLCite \textit{C. Jinshu}, Turk. J. Math. 44, No. 3, 698--711 (2020; Zbl 1460.60073) Full Text: DOI
Privault, Nicolas; Serafin, Grzegorz Normal approximation for sums of weighted \(U\)-statistics – application to Kolmogorov bounds in random subgraph counting. (English) Zbl 1464.60021 Bernoulli 26, No. 1, 587-615 (2020). Reviewer: Weiping Li (Stillwater) MSC: 60F05 05C80 60H07 PDFBibTeX XMLCite \textit{N. Privault} and \textit{G. Serafin}, Bernoulli 26, No. 1, 587--615 (2020; Zbl 1464.60021) Full Text: DOI arXiv Euclid
Zheng, Guangqu A Peccati-Tudor type theorem for Rademacher chaoses. (English) Zbl 1506.60036 ESAIM, Probab. Stat. 23, 874-892 (2019). MSC: 60F05 60B10 60H07 PDFBibTeX XMLCite \textit{G. Zheng}, ESAIM, Probab. Stat. 23, 874--892 (2019; Zbl 1506.60036) Full Text: DOI arXiv
Wang, Caishi; Tang, Yuling; Ren, Suling Weighted number operators on Bernoulli functionals and quantum exclusion semigroups. (English) Zbl 1427.81058 J. Math. Phys. 60, No. 11, 113506, 19 p. (2019). MSC: 81R50 81S05 81T10 11B68 47D07 PDFBibTeX XMLCite \textit{C. Wang} et al., J. Math. Phys. 60, No. 11, 113506, 19 p. (2019; Zbl 1427.81058) Full Text: DOI arXiv
Decreusefond, Laurent; Halconruy, Hélène Malliavin and Dirichlet structures for independent random variables. (English) Zbl 1422.60092 Stochastic Processes Appl. 129, No. 8, 2611-2653 (2019). MSC: 60H07 PDFBibTeX XMLCite \textit{L. Decreusefond} and \textit{H. Halconruy}, Stochastic Processes Appl. 129, No. 8, 2611--2653 (2019; Zbl 1422.60092) Full Text: DOI arXiv HAL
Döbler, Christian; Peccati, Giovanni Quantitative CLTs for symmetric \(U\)-statistics using contractions. (English) Zbl 1442.60034 Electron. J. Probab. 24, Paper No. 5, 43 p. (2019). MSC: 60F05 60D05 62G99 PDFBibTeX XMLCite \textit{C. Döbler} and \textit{G. Peccati}, Electron. J. Probab. 24, Paper No. 5, 43 p. (2019; Zbl 1442.60034) Full Text: DOI arXiv Euclid
Bender, Christian; Parczewski, Peter Discretizing Malliavin calculus. (English) Zbl 1391.60129 Stochastic Processes Appl. 128, No. 8, 2489-2537 (2018). MSC: 60H07 60H05 60F25 PDFBibTeX XMLCite \textit{C. Bender} and \textit{P. Parczewski}, Stochastic Processes Appl. 128, No. 8, 2489--2537 (2018; Zbl 1391.60129) Full Text: DOI arXiv
Döbler, Christian; Vidotto, Anna; Zheng, Guangqu Fourth moment theorems on the Poisson space in any dimension. (English) Zbl 1387.60045 Electron. J. Probab. 23, Paper No. 36, 27 p. (2018). MSC: 60F05 60H07 60H05 PDFBibTeX XMLCite \textit{C. Döbler} et al., Electron. J. Probab. 23, Paper No. 36, 27 p. (2018; Zbl 1387.60045) Full Text: DOI arXiv Euclid
Privault, Nicolas; Serafin, Grzegorz Stein approximation for functionals of independent random sequences. (English) Zbl 1390.60093 Electron. J. Probab. 23, Paper No. 4, 34 p. (2018). MSC: 60F05 60G57 60H07 PDFBibTeX XMLCite \textit{N. Privault} and \textit{G. Serafin}, Electron. J. Probab. 23, Paper No. 4, 34 p. (2018; Zbl 1390.60093) Full Text: DOI arXiv Euclid
Chen, Jinshu; Wang, Caishi Linear stochastic Schrödinger equations in terms of quantum Bernoulli noises. (English) Zbl 1364.81164 J. Math. Phys. 58, No. 5, 053510, 12 p. (2017). MSC: 81S22 81R15 35R60 81Q05 PDFBibTeX XMLCite \textit{J. Chen} and \textit{C. Wang}, J. Math. Phys. 58, No. 5, 053510, 12 p. (2017; Zbl 1364.81164) Full Text: DOI
Zheng, Guangqu Normal approximation and almost sure central limit theorem for non-symmetric Rademacher functionals. (English) Zbl 1373.60058 Stochastic Processes Appl. 127, No. 5, 1622-1636 (2017). MSC: 60F05 60H07 PDFBibTeX XMLCite \textit{G. Zheng}, Stochastic Processes Appl. 127, No. 5, 1622--1636 (2017; Zbl 1373.60058) Full Text: DOI arXiv
Nourdin, Ivan; Peccati, Giovanni; Poly, Guillaume; Simone, Rosaria Classical and free fourth moment theorems: universality and thresholds. (English) Zbl 1356.60037 J. Theor. Probab. 29, No. 2, 653-680 (2016). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60F05 60F17 60G50 46L54 PDFBibTeX XMLCite \textit{I. Nourdin} et al., J. Theor. Probab. 29, No. 2, 653--680 (2016; Zbl 1356.60037) Full Text: DOI arXiv
Krokowski, Kai; Reichenbachs, Anselm; Thäle, Christoph Berry-Esseen bounds and multivariate limit theorems for functionals of Rademacher sequences. (English. French summary) Zbl 1341.60005 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 2, 763-803 (2016). MSC: 60F05 60F17 60G50 60H07 60B20 15B52 PDFBibTeX XMLCite \textit{K. Krokowski} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 2, 763--803 (2016; Zbl 1341.60005) Full Text: DOI arXiv Euclid
Peccati, Giovanni; Zheng, Cengbo Universal Gaussian fluctuations on the discrete Poisson chaos. (English) Zbl 1302.60059 Bernoulli 20, No. 2, 697-715 (2014). Reviewer: Yuliya S. Mishura (Kyïv) MSC: 60F17 60G50 60G51 60J75 60H99 PDFBibTeX XMLCite \textit{G. Peccati} and \textit{C. Zheng}, Bernoulli 20, No. 2, 697--715 (2014; Zbl 1302.60059) Full Text: DOI arXiv Euclid
Wang, Caishi; Zhang, Jihong Wick analysis for Bernoulli noise functionals. (English) Zbl 1307.46031 J. Funct. Spaces 2014, Article ID 727341, 7 p. (2014). MSC: 46F12 60H40 PDFBibTeX XMLCite \textit{C. Wang} and \textit{J. Zhang}, J. Funct. Spaces 2014, Article ID 727341, 7 p. (2014; Zbl 1307.46031) Full Text: DOI
Ledoux, M. Chaos of a Markov operator and the fourth moment condition. (English) Zbl 1266.60042 Ann. Probab. 40, No. 6, 2439-2459 (2012). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60F05 60H99 60J35 60J60 60J99 PDFBibTeX XMLCite \textit{M. Ledoux}, Ann. Probab. 40, No. 6, 2439--2459 (2012; Zbl 1266.60042) Full Text: DOI arXiv Euclid
Reinert, Gesine; Röllin, Adrian Random subgraph counts and \(U\)-statistics: multivariate normal approximation via exchangeable pairs and embedding. (English) Zbl 1210.62009 J. Appl. Probab. 47, No. 2, 378-393 (2010). Reviewer: Neville Weber (Sydney) MSC: 62E17 05C80 60F05 05C90 PDFBibTeX XMLCite \textit{G. Reinert} and \textit{A. Röllin}, J. Appl. Probab. 47, No. 2, 378--393 (2010; Zbl 1210.62009) Full Text: DOI arXiv