On the nodal structures of random fields: a decade of results
Author:
Top Cited Papers
Open Access
- 30 September 2023
- journal article
- research article
- Published by Springer Nature in Journal of Applied and Computational Topology
- Vol. 8 (6) , 1917-1959
Abstract
We survey a decade worth of work pertaining to the nodal structures of random fields, with emphasis on the transformative techniques that shaped the field.Keywords
All Related Versions
This publication has 69 references indexed in Scilit:
- The defect variance of random spherical harmonicsJournal of Physics A: Mathematical and Theoretical, 2011
- The distribution of the zeros of random trigonometric polynomialsAmerican Journal of Mathematics, 2011
- On the number of nodal domains of random spherical harmonicsAmerican Journal of Mathematics, 2009
- The Leray measure of nodal sets for random eigenfunctions on the torusAnnales de l'institut Fourier, 2008
- Statistics of nodal lines and points in chaotic quantum billiards: perimeter corrections, fluctuations, curvatureJournal of Physics A: General Physics, 2002
- Nodal Domains Statistics: A Criterion for Quantum ChaosPhysical Review Letters, 2002
- On the angular distribution of Gaussian integers with fixed normDiscrete Mathematics, 1999
- The Distribution of the Lattice Points On CirclesJournal of Number Theory, 1993
- Hyperbolic distribution problems and half-integral weight Maass formsInventiones Mathematicae, 1988
- Regular and irregular semiclassical wavefunctionsJournal of Physics A: General Physics, 1977