Hannebicque, Brice; Herbin, Érick Regularity of an abstract Wiener integral. (English) Zbl 1510.60042 Stochastic Processes Appl. 154, 154-196 (2022). MSC: 60H05 60G10 60G17 60G20 60G51 60G55 60G57 PDFBibTeX XMLCite \textit{B. Hannebicque} and \textit{É. Herbin}, Stochastic Processes Appl. 154, 154--196 (2022; Zbl 1510.60042) Full Text: DOI
Herbin, Erick; Arras, Benjamin; Barruel, Geoffroy From almost sure local regularity to almost sure Hausdorff dimension for Gaussian fields. (English) Zbl 1312.60065 ESAIM, Probab. Stat. 18, 418-440 (2014). MSC: 60G60 60G15 60G17 60G10 60G22 28A78 PDFBibTeX XMLCite \textit{E. Herbin} et al., ESAIM, Probab. Stat. 18, 418--440 (2014; Zbl 1312.60065) Full Text: DOI arXiv
Herbin, Erick; Merzbach, Ely The set-indexed Lévy process: stationarity, Markov and sample paths properties. (English) Zbl 1295.60043 Stochastic Processes Appl. 123, No. 5, 1638-1670 (2013). Reviewer: Nikolai N. Leonenko (Cardiff) MSC: 60G10 60G15 60G17 60G51 60G57 60G60 60E07 60J65 PDFBibTeX XMLCite \textit{E. Herbin} and \textit{E. Merzbach}, Stochastic Processes Appl. 123, No. 5, 1638--1670 (2013; Zbl 1295.60043) Full Text: DOI arXiv
Balança, Paul; Herbin, Erick A set-indexed Ornstein-Uhlenbeck process. (English) Zbl 1266.60066 Electron. Commun. Probab. 17, Paper No. 39, 14 p. (2012). MSC: 60G10 60G15 60G60 60J25 PDFBibTeX XMLCite \textit{P. Balança} and \textit{E. Herbin}, Electron. Commun. Probab. 17, Paper No. 39, 14 p. (2012; Zbl 1266.60066) Full Text: DOI arXiv
Herbin, Erick; Merzbach, Ely A set-indexed fractional Brownian motion. (English) Zbl 1120.60035 J. Theor. Probab. 19, No. 2, 337-364 (2006). Reviewer: Andrew Olenko (Victoria) MSC: 60G15 60G17 60G18 PDFBibTeX XMLCite \textit{E. Herbin} and \textit{E. Merzbach}, J. Theor. Probab. 19, No. 2, 337--364 (2006; Zbl 1120.60035) Full Text: DOI arXiv
Herbin, Erick; Merzbach, Ely A characterization of the set-indexed fractional Brownian motion by increasing paths. (English) Zbl 1108.60030 C. R., Math., Acad. Sci. Paris 343, No. 11-12, 767-772 (2006). Reviewer: Marius Iosifescu (Bucureşti) MSC: 60G15 60G10 60G18 PDFBibTeX XMLCite \textit{E. Herbin} and \textit{E. Merzbach}, C. R., Math., Acad. Sci. Paris 343, No. 11--12, 767--772 (2006; Zbl 1108.60030) Full Text: DOI arXiv