Naslov
Intermittency and Multiscaling in Limit Theorems

Autori
Grahovac, Danijel ; Leonenko, Nikolai N. ; Taqqu, Murad S.

Izvornik
Fractals (0218-348X) 30 (2022), 7; 2250137, 18

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
intermittency ; multiscaling ; limit theorems ; large deviations ; convergence of moments

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA