Geodesic
Quantum unique ergodicity and the number of nodal domains of eigenfunctions
Jang, Seung uk1 ; Jung, Junehyuk2
1 Center for Applications of Mathematical Principles (CAMP), National Institute for Mathematical Sciences (NIMS), Daejeon 34047, South Korea
2 360 State Street, New Haven, Connecticut 06510
Journal of the American Mathematical Society, Tome 31 (2018) no. 2, pp. 303-318

Voir la notice de l'article provenant de la source American Mathematical Society

We prove that the Hecke-Maass eigenforms for a compact arithmetic triangle group have a growing number of nodal domains as the eigenvalue tends to $+\infty$. More generally the same is proved for eigenfunctions on negatively curved surfaces that are even or odd with respect to a geodesic symmetry and for which quantum unique ergodicity holds.
DOI : 10.1090/jams/883

Jang, Seung uk 1 ; Jung, Junehyuk 2

1 Center for Applications of Mathematical Principles (CAMP), National Institute for Mathematical Sciences (NIMS), Daejeon 34047, South Korea
2 360 State Street, New Haven, Connecticut 06510 
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Jang, Seung uk; Jung, Junehyuk. Quantum unique ergodicity and the number of nodal domains of eigenfunctions. Journal of the American Mathematical Society, Tome 31 (2018) no. 2, pp. 303-318. doi: 10.1090/jams/883

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