Intermediate and small scale limiting theorems for random fields
In this paper we study the nodal lines of random eigenfunctions of the Laplacian on the torus, the so-called ‘arithmetic waves’. To be more precise, we study the number of intersections of the nodal line with a straight interval in a given direction. We are interested in how this number depends on t...
मुख्य लेखकों: | Beliaev, D, Maffucci, RW |
---|---|
स्वरूप: | Journal article |
भाषा: | English |
प्रकाशित: |
International Press
2022
|
समान संसाधन
-
Coupling of stationary fields with application to arithmetic waves
द्वारा: Beliaev, D, और अन्य
प्रकाशित: (2022) -
On limit theorems for random fields
द्वारा: Rimas Banys
प्रकाशित: (2009-12-01) -
On the Asymptotic Behavior in Random Fields: The Central Limit Theorem
द्वारा: Mohammad Mehdi Saber, और अन्य
प्रकाशित: (2019-09-01) -
On the intermediate value theorem over a non-Archimedean field
द्वारा: Luigi Corgnier, और अन्य
प्रकाशित: (2013-11-01) -
Random waves on T3: nodal area variance and lattice point correlations
द्वारा: Benatar, J, और अन्य
प्रकाशित: (2017)