Publikationer 1999 2019

2019

A Dyson Equation for Non-Equilibrium Green's Functions in the Partition-Free Setting

Cornean, D. H., Moldoveanu, V. & Pillet, C. A., 2019, I : IPPS physica status solidi (b). 256, 7, 6 s., 1800447.

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Green's function
partitions
Green's functions
operators
interactions

An obstruction to contractibility of spaces of directed paths

Belton, R., Brooks, R., Ebli, S., Fajstrup, L., fasy, B. T., RAy, C., Sanderson, N. & Vidaurre, E., 4 feb. 2019, ArXiv, 16 s.

Publikation: Working paperForskning

Åben adgang

Approximation spaces of deep neural networks

Gribonval, R., Kutyniok, G., Nielsen, M. & Voigtlaender, F., 3 maj 2019, 63 s.

Publikation: Working paperForskning

Approximation Space
Neural Networks
Nonlinearity
Activation Function
Approximation Theory

Excitonic magneto-optics in monolayer transition metal dichalcogenides: From nanoribbons to two-dimensional response

Have, J., Peres, N. M. R. & Pedersen, T. G., 2019, I : Physical Review B. 100, 045411

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Optical conductivity
Faraday effect
Nanoribbons
Magnetooptical effects
Carbon Nanotubes

Fourier Multipliers on Anisotropic Mixed-Norm Spaces of Distributions

Cleanthous, G., Georgiadis, A. & Nielsen, M., 2019, (Accepteret/In press) I : Mathematica Scandinavica. 13 s.

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Mixed Norm Space
Fourier multipliers
Equivalent Norm
Norm
Triebel-Lizorkin Space

Ground states and associated path measures in the renormalized Nelson model

Hiroshima, F. & Matte, O., 2019, (Afsendt) I : arXiv.org (e-prints). 70 s.

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Hölder Continuity of the Spectra for Aperiodic Hamiltonians

Cornean, H., Bellissard, J. & Beckus, S., 2019, I : Annales Henri Poincare. 20, 11, s. 3603-3631

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continuity
dynamical systems
Configuration
balls
Ball

Inessential directed maps and directed homotopy equivalences

Raussen, M., 21 jun. 2019, 1906.09031 udg., Ithaca, NY, USA: ArXiv, 16 s.

Publikation: Working paperForskning

Instability of Resonances Under Stark Perturbations

Jensen, A. & Yajima, K., 5 feb. 2019, I : Annales Henri Poincare. 20, 2, s. 675-687 13 s.

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Perturbation
perturbation
Scattering Theory
operators
Operator

Interview with Abel laureate John Milnor

Raussen, M. & Skau, C., 15 jul. 2019, I : Mathematics, Science, History, and Culture. 16, s. 56 - 71

Publikation: Bidrag til tidsskriftTidsskriftartikelFormidling

2 Citationer (Scopus)

Localised Wannier Functions in Metallic systems

Cornean, D. H., Gontier, D., Levitt, A. & Monaco, D., 2019, I : Annales Henri Poincare. 20, 4, s. 1367-1391 25 s.

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Spectral Gap
Insulator
Exponential Decay
energy bands
interpolation

Localization for gapped Dirac Hamiltionians with random perturbations: Application to graphene antidot lattices

Cornean, H., Barbaroux, J-M. & Zalczer, S., 2019, I : Documenta Mathematica. 24, s. 65-93 28 s.

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Pseudodifferential Operators
Magnetic fields
Magnetic Field
Gages
Byproducts

Molecular decomposition and Fourier multipliers for holomorphic Besov and Triebel–Lizorkin spaces

Cleanthous, G., Georgiadis, A. G. & Nielsen, M., 11 mar. 2019, I : Monatshefte für Mathematik. 188, 3, s. 467-493 27 s.

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Fourier multipliers
Triebel-Lizorkin Space
Besov Spaces
Boundedness
Equivalent Norm
4 Citationer (Scopus)

Monolayer transition metal dichalcogenides in strong magnetic fields: Validating the Wannier model using a microscopic calculation

Have, J., Catarina, G., Pedersen, T. G. & Peres, N. M. R., 9 jan. 2019, I : Physical Review B. 99, 3, 13 s., 035416.

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Åben adgang
Fil
Excitons
Transition metals
Monolayers
transition metals
Magnetic fields

Monotonicity-based reconstruction of extreme inclusions in electrical impedance tomography

Candiani, V., Dardé, J., Garde, H. & Hyvönen, N., 2019, arXiv.org, 19 s.

Publikation: Working paperForskning

tomography
conductivity
inverse problem
method
norm
11 Downloads (Pure)

Muckenhoupt Class Weight Decomposition and BMO Distance to Bounded Functions

Nielsen, M. & Sikic, H., 25 mar. 2019, I : Proceedings of the Edinburgh Mathematical Society. 15 s.

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Fil
Bounded Mean Oscillation
Decompose
Theorem
Rectangle
Regular hexahedron

On regularity of the logarithmic forward map of electrical impedance tomography

Garde, H., Hyvönen, N. & Kuutela, T., 2019, arXiv.org, 19 s.

Publikation: Working paperForskning

Electrical Impedance Tomography
Logarithm
Dirichlet-to-Neumann Map
Logarithmic
Regularity

On regularity of the logarithmic forward map of electrical impedance tomography

Garde, H., Hyvönen, N. & Kuutela, T., 2019, (Accepteret/In press) I : SIAM Journal on Mathematical Analysis. 20 s.

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Åben adgang
Electrical Impedance Tomography
Acoustic impedance
Logarithm
Tomography
Dirichlet-to-Neumann Map

Optimal depth-dependent distinguishability bounds for electrical impedance tomography in arbitrary dimension

Garde, H. & Hyvönen, N., 2019, (Accepteret/In press) I : SIAM Journal on Applied Mathematics. 20 s.

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Åben adgang
Electrical Impedance Tomography
Acoustic impedance
Tomography
Inclusion
Dependent
electrical impedance
balls
tomography
inclusions
impedance
3 Citationer (Scopus)

Parseval Frames of Exponentially Localized Magnetic Wannier Functions

Cornean, H., Moscolari, M. & Monaco, D., 2019, I : Communications in Mathematical Physics. 371, 3, s. 1179--1230 51 s.

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Parseval Frame

PBL og matematik

Hüttel, H., Rasmussen, J. G., Rasmussen, M. G. & Søndergaard, B. D., 2019. 1 s.

Publikation: Konferencebidrag uden forlag/tidsskriftPosterFormidling

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Peierls' substitution for low lying spectral energy windows

Cornean, H., Helffer, B. & Purice, R., 2019, I : Journal of Spectral Theory.

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Peierls' substitution via minimal coupling and magnetic pseudo-differential calculus

Cornean, D. H., Iftimie, V. & Purice, R., 2019, I : Reviews in Mathematical Physics. 31, 3, 1950008.

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differential calculus
Differential Calculus
Substitution
substitutes
composite functions
electrical impedance
tomography
conductivity
inclusions
uniqueness
1 Citation (Scopus)

Resolvent Convergence to Dirac Operators on Planar Domains

Barbaroux, J-M., Cornean, H., Le Treust, L. & Stockmeyer, E., 2019, I : Annales Henri Poincare. 20, 6, s. 1877-1891 15 s.

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Dirac Operator
Resolvent
operators
Speed of Convergence
Unbounded Domain

Two-dimensional Schrödinger operators with point interactions: Threshold expansions, zero modes and L p -boundedness of wave operators

Cornean, D. H., Michelangeli, A. & Yajima, K., 2019, I : Reviews in Mathematical Physics. 31, 4, 1950012.

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Point Interactions
Wave Operator
Boundedness
operators
expansion
2018
1 Citation (Scopus)

A Beals criterion for magnetic pseudo-differential operators proved with magnetic Gabor frames

Cornean, D. H., Helffer, B. & Purice, R., 2018, I : Communications in Partial Differential Equations. 43, 8, s. 1196-1204 9 s.

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Gabor Frames
Electric commutators
Tight Frame
Pseudodifferential Operators
Commutator
Åben adgang
Resolvent
Norm
Estimate
Closed Operator
Unbounded Operators

Atomic and molecular decomposition of homogeneous spaces of distributions associated to non-negative self-adjoint operators

Georgiadis, A., Kerkyacharian, G., Kyriazis, G. & Petrushev, P., 2018, ArXiv, 41 s.

Publikation: Working paperForskning

Triebel-Lizorkin Space
Homogeneous Space
Self-adjoint Operator
Non-negative
Atomic Decomposition

Characterisation of log-convex decay in non-selfadjoint dynamics

Johnsen, J. E., 2018, I : Electronic Research Announcements in Mathematical Sciences. 25, s. 72-86 15 s.

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Åben adgang
Holomorphic Semigroups
Decay
Generator
Injectivity
Evolution Equation

Cut-off Theorems for the PV-model

Fajstrup, L., 2018, ArXiv, 14 s.

Publikation: Working paperForskning

Åben adgang
123 Downloads (Pure)

Final value problems for parabolic differential equations and their well-posedness

Christensen, A-E. & Johnsen, J., 2018, I : Axioms. 7, 2, s. 1-36 36 s., 31.

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Fil
Parabolic Differential Equations
Well-posedness
Compatibility Conditions
Bochner Integral
Improper integral

Fourier Multipliers on Decomposition Spaces of Modulation and Triebel–Lizorkin Type

Cleanthous, G., Georgiadis, A. & Nielsen, M., 1 jun. 2018, I : Mediterranean Journal of Mathematics. 15, 3, 14 s.

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Fourier multipliers
Modulation
Decompose
Smoothness
Modulation Spaces

Interview with Abel Laureate Sir Andrew Wiles

Raussen, M. H. & Skau, C., 2018, I : Mathmedia. 42, 2, s. 44-59 16 s.

Publikation: Bidrag til tidsskriftTidsskriftartikelFormidling

Interview with M. Gromov

Raussen, M. H. & Skau, C., 2018, I : Mathmedia. 42, 2, s. 60-70 11 s.

Publikation: Bidrag til tidsskriftTidsskriftartikelFormidling

Random Sampling
Sampling
Wavelet Bases
Numerical Stability
Convergence of numerical methods

Kernel and wavelet density estimators on manifolds and more general metric spaces

Cleanthous, G., Georgiadis, A., Kerkyacharian, G., Petrushev, P. & Picard, D., 2018, ArXiv, 35 s.

Publikation: Working paperForskning

Wavelet Estimator
Density Estimator
Metric space
kernel
Functional Calculus
66 Downloads (Pure)

Local spectral deformation

Engelmann, M., Møller, J. S. & Rasmussen, M. G., 2018, I : Annales de l'Institut Fourier. 68, 2, s. 768-804 39 s.

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Fil
Essential Spectrum
Self-adjoint Operator
Eigenvalue
Perturbation Theory
Real Line

Nonlinear approximation with nonstationary Gabor frames

Ottosen, E. S. & Nielsen, M., aug. 2018, I : Advances in Computational Mathematics. 44, 4, s. 1183-1203 21 s.

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Gabor Frames
Nonlinear Approximation
Thresholding
Rate of Approximation
Generalise
1 Citation (Scopus)

On the adiabatic theorem when eigenvalues dive into the continuum

Cornean, D. H., Jensen, A., Knörr, H. K. & Nenciu, G., 2018, I : Reviews in Mathematical Physics. 30, 5, 25 s., 1850011.

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Survival Probability
Bound States
Continuum
eigenvalues
theorems

Pair component categories for directed spaces

Raussen, M. H., 2018, ArXiv, 27 s.

Publikation: Working paperForskning

Homotopy
Path Space
Morphisms
Homology
Homotopy Equivalence

Projection operators on matrix weightedLp and a simple sufficient Muckenhoupt condition

Nielsen, M. & Rasmussen, M. G., 6 aug. 2018, I : Mathematica Scandinavica. 123, 1, s. 72-84 13 s.

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Projection Operator
Sufficient
Projection
L-p space
Singular Integral Operator

Resolvent expansion for the Schrödinger operator on a graph with infinite rays

Ito, K. & Jensen, A., aug. 2018, I : Journal of Mathematical Analysis and Applications. 464, 1, s. 616-661 46 s.

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Resolvent
Eigenfunctions
Half line
Eigenvalues and eigenfunctions
Zero
112 Downloads (Pure)

Sparse Nonstationary Gabor Expansions - with Applications to Music Signals

Ottosen, E. S., 2018, Aalborg Universitetsforlag. 138 s. (Ph.d.-serien for Det Ingeniør- og Naturvidenskabelige Fakultet, Aalborg Universitet).

Publikation: Bog/antologi/afhandling/rapportPh.d.-afhandlingForskning

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Spectral multipliers on spaces of distributions associated with non-negative self-adjoint operators

Georgiadis, A. & Nielsen, M., okt. 2018, I : Journal of Approximation Theory. 234, s. 1-19 19 s.

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Self-adjoint Operator
Multiplier
Generalized Sobolev Spaces
Non-negative
Space of Homogeneous Type
1 Citation (Scopus)

Sur les problèmes paraboliques à valeur finale bien posés

Christensen, A. E. & Johnsen, J., 2018, I : Comptes Rendus Mathematique. 356, 3, s. 301-305 5 s.

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Well-posedness
Compatibility Conditions
Bochner Integral
Improper integral
Existence-uniqueness

The suspended free loop space of a symmetric space

Bökstedt, M. & Ottosen, I. M., 2018, arXiv.org, 45 s.

Publikation: Working paperForskning

1999
9 Citationer (Scopus)
12 Downloads (Pure)

Homotopy orbits of free loop spaces

Bökstedt, M. & Ottosen, I. M., 1999, I : Fundamenta Mathematicae. 162, 3, s. 251-275 24 s.

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Fil