Herbin, Erick; Xiao, Yimin Sample paths properties of the set-indexed fractional Brownian motion. (English) Zbl 1458.60046 Aldroubi, Akram (ed.) et al., New trends in applied harmonic analysis. Volume 2. Harmonic analysis, geometric measure theory, and applications. Collected papers based on courses given at the 2017 CIMPA school, Buenos Aires, Argentina, July 31 – August 11, 2017. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 293-316 (2019). MSC: 60G22 60G60 60G15 60G17 60G18 28A80 PDFBibTeX XMLCite \textit{E. Herbin} and \textit{Y. Xiao}, in: New trends in applied harmonic analysis. Volume 2. Harmonic analysis, geometric measure theory, and applications. Collected papers based on courses given at the 2017 CIMPA school, Buenos Aires, Argentina, July 31 -- August 11, 2017. Cham: Birkhäuser. 293--316 (2019; Zbl 1458.60046) Full Text: DOI
Li, Yuqiang; Xiao, Yimin A class of fractional Brownian fields from branching systems and their regularity properties. (English) Zbl 1281.60038 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 3, Article ID 1350023, 33 p. (2013). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60G22 60G60 60G17 60G18 60F17 60J80 PDFBibTeX XMLCite \textit{Y. Li} and \textit{Y. Xiao}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 16, No. 3, Article ID 1350023, 33 p. (2013; Zbl 1281.60038) Full Text: DOI
Ayache, Antoine; Shieh, Narn-Rueih; Xiao, Yimin Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times. (English. French summary) Zbl 1268.60048 Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 4, 1029-1054 (2011). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 60G22 60G17 28A80 PDFBibTeX XMLCite \textit{A. Ayache} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 47, No. 4, 1029--1054 (2011; Zbl 1268.60048) Full Text: DOI Euclid
Meerschaert, Mark; Wu, Dongsheng; Xiao, Yimin Local times of multifractional Brownian sheets. (English) Zbl 1186.60036 Bernoulli 14, No. 3, 865-898 (2008). Reviewer: Catherine Rainer (Brest) MSC: 60G22 60J65 60J60 PDFBibTeX XMLCite \textit{M. Meerschaert} et al., Bernoulli 14, No. 3, 865--898 (2008; Zbl 1186.60036) Full Text: DOI arXiv
Xiao, Yimin Properties of local-nondeterminism of Gaussian and stable random fields and their applications. (English) Zbl 1128.60041 Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 1, 157-193 (2006). Reviewer: Andrew Olenko (Victoria) MSC: 60G60 60G17 PDFBibTeX XMLCite \textit{Y. Xiao}, Ann. Fac. Sci. Toulouse, Math. (6) 15, No. 1, 157--193 (2006; Zbl 1128.60041) Full Text: DOI Numdam EuDML