Linear multifractional stable sheets in the broad sense: Existence and joint continuity of local times
Author:
Affiliation:
1. Institute of Mathematical Sciences, Claremont Graduate University, USA
2. Department of Statistics and Probability, Michigan State University, USA
Publisher
Bernoulli Society for Mathematical Statistics and Probability
Subject
Statistics and Probability
Reference23 articles.
1. Xiao, Y. (1997). Hölder conditions for the local times and the Hausdorff measure of the level sets of Gaussian random fields. Probab. Theory Related Fields 109 129–157. 10.1007/s004400050128
2. Xiao, Y. (2009). Sample path properties of anisotropic Gaussian random fields. In A Minicourse on Stochastic Partial Differential Equations. Lecture Notes in Math. 1962 145–212. Berlin: Springer. 10.1007/978-3-540-85994-9_5
3. Ayache, A., Roueff, F. and Xiao, Y. (2007). Joint continuity of the local times of linear fractional stable sheets. C. R. Math. Acad. Sci. Paris 344 635–640. 10.1016/j.crma.2007.03.028
4. Ayache, A., Roueff, F. and Xiao, Y. (2007). Local and asymptotic properties of linear fractional stable sheets. C. R. Math. Acad. Sci. Paris 344 389–394. 10.1016/j.crma.2007.01.017
5. Ayache, A., Roueff, F. and Xiao, Y. (2009). Linear fractional stable sheets: Wavelet expansion and sample path properties. Stochastic Process. Appl. 119 1168–1197. 10.1016/j.spa.2008.06.004
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