Quasi sure large deviation for increments of fractional Brownian motion in Hölder norm

Verfasser / Beitragende:
[Jie Xu, Yun Zhu, Ji Liu]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Mathematica Sinica, English Series, 31/6(2015-06-01), 913-920
Format:
Artikel (online)
ID: 605461074
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024 7 0 |a 10.1007/s10114-015-3560-x  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s10114-015-3560-x 
245 0 0 |a Quasi sure large deviation for increments of fractional Brownian motion in Hölder norm  |h [Elektronische Daten]  |c [Jie Xu, Yun Zhu, Ji Liu] 
520 3 |a In this paper, we first prove Schilder's theorem in Hölder norm (0 ≤ α < 1) with respect to C r,p -capacity. Then, based on this result, we further prove a sharpening of large deviation principle for increments of fractional Brownian motion for C r,p -capacity in the stronger topology. 
540 |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 
690 7 |a Schilder's theorem  |2 nationallicence 
690 7 |a large deviations  |2 nationallicence 
690 7 |a fractional Brownian motion  |2 nationallicence 
690 7 |a C r,p -capacity  |2 nationallicence 
700 1 |a Xu  |D Jie  |u College of Mathematics and Information Science, He'nan Normal University, 453007, Xinxiang, P. R. China  |4 aut 
700 1 |a Zhu  |D Yun  |u College of Mathematics, Sichuan University, 610064, Chengdu, P. R. China  |4 aut 
700 1 |a Liu  |D Ji  |u School of Mathematics and Statistics, Huazhong University of Science and Technology, 430074, Wuhan, P. R. China  |4 aut 
773 0 |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/6(2015-06-01), 913-920  |x 1439-8516  |q 31:6<913  |1 2015  |2 31  |o 10114 
856 4 0 |u https://doi.org/10.1007/s10114-015-3560-x  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10114-015-3560-x  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Xu  |D Jie  |u College of Mathematics and Information Science, He'nan Normal University, 453007, Xinxiang, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Zhu  |D Yun  |u College of Mathematics, Sichuan University, 610064, Chengdu, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Liu  |D Ji  |u School of Mathematics and Statistics, Huazhong University of Science and Technology, 430074, Wuhan, P. R. China  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Mathematica Sinica, English Series  |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society  |g 31/6(2015-06-01), 913-920  |x 1439-8516  |q 31:6<913  |1 2015  |2 31  |o 10114