| Autor: |
E, Lakshmi Priya M |
| Předmět: |
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| Zdroj: |
IMRN: International Mathematics Research Notices; 3/20/2023, Vol. 2023 Issue 7, p6132-6163, 32p |
| Abstrakt: |
For smooth centered stationary Gaussian processes on |${{\mathbb {R}}}^d$| (|$d \geq 1$|), we study the unlikely event of overcrowding of the nodal set; this is the event that the volume of the nodal set in a region is much larger than its expected value. Under some mild assumptions on the spectral measure of the process, we obtain estimates for the probability of the overcrowding event. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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