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INTERMITTENCY AND MULTISCALING IN LIMIT THEOREMS

delete2022-09-29
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OA
AI
D
Danijel Grahovac *
N
Nikolai Leonenko
M
Murad S. Taqqu
DOI:10.1142/S0218348X22501377delete
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摘要

摘要

En 中文
It has been recently discovered that some random processes may satisfy limit theorems even though they exhibit intermittency, namely an unusual growth of moments. In this paper, we provide a deeper understanding of these intricate limiting phenomena. We show that intermittent processes may exhibit a multiscale behavior involving growth at different rates. To these rates correspond different scales. In addition to a dominant scale, intermittent processes may exhibit secondary scales. The probability of these scales decreases to zero as a power function of time. For the analysis, we consider large deviations of the rate of growth of the processes. Our approach is quite general and covers different possible scenarios with special focus on the so-called supOU processes.
Keyword:
Intermittency
Multiscaling
Limit Theorems
Large Deviations
Convergence of Moments

期刊

F
Fractals-Complex Geometry Patterns and Scaling in Nature and Society
IF:
2.9
论文数:
2.8K
被引数:
5.6K

机构

B
boston university
学者数:
3.8W
论文数: 3.2W
被引数: 67
U
university of jj strossmayer osijek
学者数:
3.1K
论文数: 2.1K
被引数: 1
C
Cardiff University
学者数:
2.7W
论文数: 2.5W
被引数: 3.5W
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