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Annals of Mathematics, ISSN 0003-486X, 5/2018, Volume 187, Issue 3, pp. 973 - 974
Journal Article
IEEE Transactions on Pattern Analysis and Machine Intelligence, ISSN 0162-8828, 01/2016, Volume 38, Issue 1, pp. 188 - 194
Journal Article
Discrete Mathematics, ISSN 0012-365X, 05/2019, Volume 342, Issue 5, pp. 1351 - 1360
We study functions defined on the vertices of the Hamming graphs H(n,q). The adjacency matrix of H(n,q) has n+1 distinct eigenvalues n(q−1)−q⋅i with... 
Support | Hamming graph | Eigenfunction | MATHEMATICS | CARDINALITY | EIGENFUNCTIONS
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 12/2014, Volume 267, Issue 12, pp. 4635 - 4666
We prove families of uniform (Lr,Ls) resolvent estimates for simply connected manifolds of constant curvature (negative or positive) that imply the earlier... 
Eigenfunctions | Resolvent | Constant curvature
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 11/2013, Volume 252, pp. 495 - 517
Journal Article
Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 01/2009, Volume 79, Issue 1
We develop a theoretical formalism to describe bimodal atomic force microscopy (AFM) experiments. The theory relates observables such as amplitudes and phase... 
SURFACE | PHYSICS, CONDENSED MATTER | cantilevers | atomic force microscopy | MODE | eigenvalues and eigenfunctions
Journal Article
2015, 2nd edition., Advances in applied mathematics, ISBN 9781482251029, xvii, 667
About the Previous Edition"Roughly speaking, Green's functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous... 
Green's functions | Green-Funktion
Book
IEEE Transactions on Magnetics, ISSN 0018-9464, 09/2015, Volume 51, Issue 9, pp. 1 - 4
Journal Article
Advances in Mathematics, ISSN 0001-8708, 02/2016, Volume 289, pp. 384 - 396
We use a straightforward variation on a recent argument of Hezari and Rivière [8] to obtain localized Lp-estimates for all exponents larger than or equal to... 
Eigenfunctions | Quantum ergodicity | Negative curvature
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 1, pp. 803 - 818
We prove that after an arbitrarily small adjustment of edge lengths, the spectrum of a compact quantum graph with δ-type vertex conditions can be simple. We... 
Quantum graphs | Zeros of eigenfunctions | Simple spectrum
Journal Article
MATHEMATICAL RESEARCH LETTERS, ISSN 1073-2780, 2019, Volume 26, Issue 2, pp. 421 - 445
In this paper we study the behaviour of the Neumann data of Dirichlet eigenfunctions on simplices. We prove that the L-2 norm of the (semi-classical) Neumann... 
MATHEMATICS | QUANTUM ERGODIC RESTRICTION | EIGENFUNCTIONS
Journal Article
Computer Methods in Applied Mechanics and Engineering, ISSN 0045-7825, 04/2014, Volume 272, pp. 290 - 320
Journal Article
Operations Research, ISSN 0030-364X, 01/2016, Volume 64, Issue 1, p. iii
Journal Article
2012, Graduate studies in mathematics, ISBN 9780821883204, Volume 138, xii, 431
Book
Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 10, pp. 2513 - 2543
Journal Article
International Mathematics Research Notices, ISSN 1073-7928, 2015, Volume 2015, Issue 22, pp. 11934 - 11960
Given any compact hyperbolic surface M, and a closed geodesic on M, we construct of a sequence of quasimodes on M whose microlocal lifts concentrate positive... 
MATHEMATICS | ERGODICITY | EIGENFUNCTIONS | MAPS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 05/2019, Volume 372, Issue 5, pp. 3539 - 3564
We obtain the limiting distribution of the nodal area of random Gaussian Laplace eigenfunctions on \mathbb{T}^3= \mathbb{R}^3/ \mathbb{Z}^3 (three-dimensional... 
FORMS | MATHEMATICS | STATISTICS | FLUCTUATIONS | SETS | EIGENFUNCTIONS | LATTICE POINTS
Journal Article
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