![]() |
COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. | ![]() |
University of Cambridge > Talks.cam > Probability > Nodal length fluctuations for arithmetic random waves.
Nodal length fluctuations for arithmetic random waves.Add to your list(s) Download to your calendar using vCal
If you have a question about this talk, please contact neb25. Using the spectral multiplicities of the standard torus, we endow the Laplace eigenspaces with Gaussian probability measures. This induces a notion of random Gaussian Laplace eigenfunctions on the torus (“arithmetic random waves”). We study the distribution of the nodal length of random eigenfunctions for large eigenvalues, and our primary result is that the asymptotics for the variance is non-universal, and is intimately related to the arithmetic of lattice points lying on a circle with radius corresponding to the energy. This talk is part of the Probability series. This talk is included in these lists:
Note that ex-directory lists are not shown. |
Other listsInternational Cafe Scientifique Type the title of a new list hereOther talksCosmology and Astrophysics from CMB Measurements Internal Displacement in Cyprus and childhood: The view from genetic social psychology My VM is Lighter (and Safer) than your Container Saving the People of the Forest: one chocolate bar and one nebulizer treatment at a time Modelling discontinuities in simulator output using Voronoi tessellations Debtors’ schedules: a new source for understanding the economy in 18th-century England |