Xu, Jie; Miao, Yu; Liu, Jicheng Quasi-sure functional limit theorem for increments of a fractional Brownian sheet in Hölder norm. (English) Zbl 1338.60087 Commun. Stat., Theory Methods 45, No. 5, 1564-1574 (2016). Summary: In this paper, we investigate the quasi-sure large deviation for increments of a fractional Brownian sheet with Hurst index \((0 < H_1 \leqslant \dfrac{1}{2}, 0 < H_2 \leqslant \dfrac{1}{2})\) in Hölder norm on the rectangles. The quasi-sure set of limit points for increments of a fractional Brownian sheet is also established. Cited in 2 Documents MSC: 60F10 Large deviations 60F15 Strong limit theorems Keywords:\(C_{r,p}\)-capacity; fractional Brownian sheet; large deviations; Schilder’s theorem PDFBibTeX XMLCite \textit{J. Xu} et al., Commun. Stat., Theory Methods 45, No. 5, 1564--1574 (2016; Zbl 1338.60087) Full Text: DOI References: [1] DOI: 10.1016/0304-4149(92)90033-M · Zbl 0757.60014 · doi:10.1016/0304-4149(92)90033-M [2] Ciesielek Z., Bull. Acad. Pol. Sci. 7 pp 217– (1999) [3] DOI: 10.2969/jmsj/03610161 · Zbl 0522.60081 · doi:10.2969/jmsj/03610161 [4] Lin Z., Chin. Ann. Math. Ser. A. 28 (2) pp 167– (2007) [5] Lin Z., Acta Math. Sin., English Ser 22 (6) pp 1763– (2006) [6] DOI: 10.1016/j.jmaa.2009.02.036 · Zbl 1166.60022 · doi:10.1016/j.jmaa.2009.02.036 [7] DOI: 10.1023/A:1013829802476 · Zbl 1001.60033 · doi:10.1023/A:1013829802476 [8] DOI: 10.1007/BF01192559 · Zbl 0791.60018 · doi:10.1007/BF01192559 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.