Peter D. Hislop
Affiliations: | Mathematics | University of Kentucky, Lexington, KY |
Area:
MathematicsGoogle:
"Peter Hislop"Children
Sign in to add trainee| Phuoc L. Ho | grad student | 2010 | University of Kentucky |
| Megan E. Gier | grad student | 2014 | University of Kentucky |
| Aaron D. Saxton | grad student | 2014 | University of Kentucky |
| Benjamin E Brodie | grad student | 2014-2020 | University of Kentucky (Neurotree) |
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Publications
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| Hislop PD, Marx CA. (2020) Dependence of the Density of States on the Probability Distribution for Discrete Random Schrödinger Operators International Mathematics Research Notices. 2020: 5279-5341 |
| Hislop PD, Kirsch W, Krishna M. (2020) Eigenvalue statistics for Schrödinger operators with random point interactions on Rd, d = 1, 2, 3 Journal of Mathematical Physics. 61: 092103 |
| Hislop PD, Marx CA. (2019) Dependence of the Density of States on the Probability Distribution. Part II: Schrödinger Operators on $$\pmb {\mathbb {R}}^d$$Rd and Non-compactly Supported Probability Measures Annales Henri Poincaré. 21: 539-570 |
| Dietlein A, Gebert M, Hislop PD, et al. (2017) A Bound on the Averaged Spectral Shift Function and a Lower Bound on the Density of States for Random Schrödinger Operators on ${\mathbb{R}}^{\boldsymbol{d}}$ International Mathematics Research Notices. 2018: 6673-6697 |
| Avendaño-Camacho M, Hislop PD, Villegas-Blas C. (2017) Semiclassical Szegö Limit of Eigenvalue Clusters for the Hydrogen Atom Zeeman Hamiltonian Annales Henri Poincaré. 18: 3933-3973 |
| Combes JM, Hislop PD. (2016) Some trace monotonicity properties and applications Annals of Functional Analysis. 7: 394-401 |
| Hislop PD, Popoff N, Raymond N, et al. (2016) Band functions in the presence of magnetic steps Mathematical Models and Methods in Applied Sciences. 26: 161-184 |
| Christiansen TJ, Hislop PD. (2016) Some remarks on resonances in even-dimensional euclidean scattering Transactions of the American Mathematical Society. 368: 1361-1385 |
| Hislop PD, Popoff N, Soccorsi E. (2016) Characterization of Bulk States in One-Edge Quantum Hall Systems Annales Henri Poincare. 17: 37-62 |
| Hislop PD, Soccorsi E. (2015) Edge states induced by Iwatsuka Hamiltonians with positive magnetic fields Journal of Mathematical Analysis and Applications. 422: 594-624 |