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Local Hölder regularity for set-indexed processes

Published:2016-09 Issue:1 Volume:215 Page:397-440
ISSN:0021-2172
Container-title:Israel Journal of Mathematics
language:en
Short-container-title:Isr. J. Math.

Author:

Herbin Erick,Richard Alexandre

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11856-016-1382-x.pdf

Reference44 articles.

1. R. J. Adler, D. Monrad, R. Scissors, and R. J.Wilson, Representations, decompositions, and sample function continuity of random fields with independent increments, Stochastic Processes and their Applications 15 (1983), 3–30.

2. R. J. Adler and J. E. Taylor, Random Fields and Geometry, Springer-Verlag, Berlin, 2007.

3. K. S. Alexander, Probability inequalities for empirical processes and a law of the iterated logarithm, The Annals of Probability 12 (1984), 1041–1067.

4. K. S. Alexander, Sample moduli for set-indexed Gaussian processes, The Annals of Probability 14 (1986), 598–611.

5. A. Ayache, N. R. Shieh and Y. Xiao, Multiparameter multifractional Brownian motion: local nondeterminism and joint continuity of the local times, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 47 (2011), 1029–1054.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Regularity of an abstract Wiener integral;Stochastic Processes and their Applications;2022-12

2. Sample Paths Properties of the Set-Indexed Fractional Brownian Motion;New Trends in Applied Harmonic Analysis, Volume 2;2019

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