Spectral Theory

Authors and titles for math.SP in Apr 2015

[1]  arXiv:1504.00660 [pdf, ps, other]

Title: Lower Bound For The Ratios Of Eigenvalues Of Schrödinger Equations With Nonpositive Single-Barrier Potentials

Authors: Jamel Ben Amara, Hedhly Jihed

Comments: 9 pages, 0 figures

Subjects: Spectral Theory (math.SP)

[2]  arXiv:1504.00813 [pdf, ps, other]

Title: Non-central limit theorems for random fields subordinated to gamma-correlated random fields

Authors: N.N. Leonenko, M.D. Ruiz-Medina, M.S. Taqqu

Subjects: Spectral Theory (math.SP); Probability (math.PR)

[3]  arXiv:1504.01144 [pdf, ps, other]

Title: Eigenvalue bounds for Schrödinger operators with complex potentials. II

Authors: Rupert L. Frank, Barry Simon

Comments: 20 pages; references added

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[4]  arXiv:1504.01679 [pdf, other]

Title: Directional derivatives of the singular values of matrices depending on several real parameters

Authors: Juan-Miguel Gracia

Comments: Review paper; 11 pages

Subjects: Spectral Theory (math.SP)

[5]  arXiv:1504.01754 [pdf, other]

Title: Mixed spectral regimes for square Fibonacci Hamiltonians

Authors: Jake Fillman, Yuki Takahashi, William Yessen

Comments: 21 pages, 7 figures, 31 references

Subjects: Spectral Theory (math.SP)

[6]  arXiv:1504.01815 [pdf, ps, other]

Title: Hill-type formula and Krein-type trace formula for $S$-periodic solutions in ODEs

Authors: Xijun Hu, Penghui Wang

Comments: 23 pages

Subjects: Spectral Theory (math.SP); Dynamical Systems (math.DS); Functional Analysis (math.FA)

[7]  arXiv:1504.01817 [pdf, ps, other]

Title: Eigenvalue problem of Sturm-Liouville systems with separated boundary conditions

Authors: Xijun Hu, Penghui Wang

Comments: 10 pages

Subjects: Spectral Theory (math.SP); Dynamical Systems (math.DS); Functional Analysis (math.FA)

[8]  arXiv:1504.01962 [pdf, ps, other]

Title: On the Spectral Gap of a Quantum Graph

Authors: James B. Kennedy, Pavel Kurasov, Gabriela Malenova, Delio Mugnolo

Subjects: Spectral Theory (math.SP)

[9]  arXiv:1504.02000 [pdf, ps, other]

Title: Survey of the inverse spectral problem for the Notices of the ICCM

Authors: Steve Zelditch

Journal-ref: Notices of the ICCM, Vol. 2 (2) (2014) 1-20

Subjects: Spectral Theory (math.SP)

[10]  arXiv:1504.02339 [pdf, ps, other]

Title: Line graphs and the transplantation method

Authors: Peter Herbrich

Comments: 8 pages, 1 figure

Subjects: Spectral Theory (math.SP); Combinatorics (math.CO)

[11]  arXiv:1504.03015 [pdf, ps, other]

Title: Dispersion Estimates for One-Dimensional Schrödinger Equations with Singular Potentials

Authors: Aleksey Kostenko, Gerald Teschl, Julio H. Toloza

Comments: 26 pages

Journal-ref: Ann. Henri Poincar\'e 17, 3147-3176 (2016)

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[12]  arXiv:1504.03065 [pdf, other]

Title: Eigenvalues of neutral networks: interpolating between hypercubes

Authors: T. Reeves, R. S. Farr, J. Blundell, A. Gallagher, T. M. A. Fink

Subjects: Spectral Theory (math.SP)

[13]  arXiv:1504.03066 [pdf, ps, other]

Title: Three Dimensional Strongly Symmetric Circulant Tensors

Authors: Liqun Qi, Qun Wang, Yannan Chen

Subjects: Spectral Theory (math.SP)

[14]  arXiv:1504.03156 [pdf, ps, other]

Title: Streaming, Memory Limited Matrix Completion with Noise

Authors: Se-Young Yun, Marc Lelarge, Alexandre Proutiere

Comments: 21 pages

Subjects: Spectral Theory (math.SP); Machine Learning (stat.ML)

[15]  arXiv:1504.03414 [pdf, ps, other]

Title: SOS Tensor Decomposition: Theory and Applications

Authors: Haibin Chen, Guoyin Li, Liqun Qi

Subjects: Spectral Theory (math.SP)

[16]  arXiv:1504.03885 [pdf, ps, other]

Title: Quasi boundary triples and semibounded self-adjoint extensions

Authors: Jussi Behrndt, Matthias Langer, Vladimir Lotoreichik, Jonathan Rohleder

Comments: to appear in Proc. Roy. Soc. Edinburgh Sect. A

Journal-ref: Proc. Roy. Soc. Edinburgh Sect. A 147 (2017), 895-916

Subjects: Spectral Theory (math.SP); Functional Analysis (math.FA)

[17]  arXiv:1504.04256 [pdf, other]

Title: The Generalized Legendre transform and its applications to inverse spectral problems

Authors: Victor Guillemin, Zuoqin Wang

Comments: 23 pages

Subjects: Spectral Theory (math.SP); Symplectic Geometry (math.SG)

[18]  arXiv:1504.04954 [pdf, ps, other]

Title: On the Riesz basis property of root vectors system for $2 \times 2$ Dirac type operators

Authors: Anton A. Lunyov, Mark M. Malamud

Comments: 40 pages, 58 references

Subjects: Spectral Theory (math.SP)

[19]  arXiv:1504.05744 [pdf, ps, other]

Title: Zero Energy Scattering for One-Dimensional Schrödinger Operators and Applications to Dispersive Estimates

Authors: Iryna Egorova, Markus Holzleitner, Gerald Teschl

Comments: 9 pages

Journal-ref: Proc. Amer. Math. Soc. Ser. B 2, 51-59 (2015)

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Analysis of PDEs (math.AP)

[20]  arXiv:1504.05822 [pdf, ps, other]

Title: Spectral theory of a class of Block Jacobi matrices and applications

Authors: Jaouad Sahbani

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph)

[21]  arXiv:1504.06052 [pdf, ps, other]

Title: Solution of the inverse spectral problem for a convolution integro-differential operator with Robin boundary conditions

Authors: S.A. Buterin, A.E. Choque Rivero

Comments: 10 pages

Journal-ref: Applied Mathematics Letters 48 (2015) 150-155

Subjects: Spectral Theory (math.SP)

[22]  arXiv:1504.06547 [pdf, ps, other]

Title: Some inverse problems associated with Hill operator

Authors: Alp Arslan Kirac

Subjects: Spectral Theory (math.SP)

[23]  arXiv:1504.06589 [pdf, other]

Title: Spectral gaps, additive energy, and a fractal uncertainty principle

Authors: Semyon Dyatlov, Joshua Zahl

Comments: 85 pages, 10 figures. To appear in GAFA

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP); Combinatorics (math.CO); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD)

[24]  arXiv:1504.06904 [pdf, other]

Title: The mean spectral measures of random Jacobi matrices related to Gaussian beta ensembles

Authors: Trinh Khanh Duy, Tomoyuki Shirai

Journal-ref: Electron. Commun. Probab. 20 (2015), no. 68, 1--13

Subjects: Spectral Theory (math.SP); Probability (math.PR)

[25]  arXiv:1504.07112 [pdf, other]

Title: Spectral asymptotics for sub-Riemannian Laplacians. I: quantum ergodicity and quantum limits in the 3D contact case

Authors: Yves Colin de Verdière (IF), Luc Hillairet (MAPMO), Emmanuel Trélat (LJLL)

Comments: to appear in Duke Math. J

Journal-ref: Duke Math. J. 167, no. 1 (2018), 109-174

Subjects: Spectral Theory (math.SP); Differential Geometry (math.DG)