A note on nodal sets on manifolds with lower Ricci bound

2020 ◽  
Vol 27 (4) ◽  
pp. 359-374
Author(s):  
Jianchun Chu ◽  
Wenshuai Jiang
Keyword(s):  
Nodal Sets

scholarly journals Lower Bounds for Nodal Sets of Eigenfunctions

2011 ◽  
Vol 306 (3) ◽  
pp. 777-784 ◽  
Author(s):  
Tobias H. Colding ◽  
William P. Minicozzi
Keyword(s):  
Lower Bounds ◽  
Nodal Sets

scholarly journals Equidistribution of the conormal cycle of random nodal sets

2018 ◽  
Vol 20 (12) ◽  
pp. 3017-3071
Author(s):  
Nguyen Viet Dang ◽  
Gabriel Rivière
Keyword(s):  
Nodal Sets

scholarly journals Nodal Sets of Random Eigenfunctions for the Isotropic Harmonic Oscillator

2014 ◽  
Vol 2015 (13) ◽  
pp. 4813-4839 ◽  
Author(s):  
Boris Hanin ◽  
Steve Zelditch ◽  
Peng Zhou
Keyword(s):  
Harmonic Oscillator ◽  
Nodal Sets ◽  
Isotropic Harmonic Oscillator

Nodal sets and horizontal singular sets of ℍ-harmonic functions on the Heisenberg group

2014 ◽  
Vol 16 (04) ◽  
pp. 1350049 ◽  
Author(s):  
Long Tian ◽  
Xiaoping Yang
Keyword(s):  
Heisenberg Group ◽  
Geometric Structure ◽  
Harmonic Functions ◽  
Nodal Sets ◽  
Singular Sets ◽  
Definition Of

In this paper, we give measure estimates of nodal sets of ℍ-harmonic functions on the Heisenberg group ℍn. We also introduce a definition of horizontal singular sets and show the geometric structure of the horizontal singular sets of ℍ-harmonic functions.

scholarly journals Applications of small-scale quantum ergodicity in nodal sets

2018 ◽  
Vol 11 (4) ◽  
pp. 855-871 ◽  
Author(s):  
Hamid Hezari
Keyword(s):  
Small Scale ◽  
Nodal Sets ◽  
Quantum Ergodicity
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