• Skjernvej 4, A, 5-120

    9220 Aalborg Ø

    Denmark

19982022
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Research Output 1998 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, In : IPPS physica status solidi (b). 256, 7, 6 p., 1800447.

Research output: Contribution to journalJournal articleResearchpeer-review

Green's function
partitions
Green's functions
operators
interactions

Hölder Continuity of the Spectra for Aperiodic Hamiltonians

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

Research output: Contribution to journalJournal articleResearchpeer-review

2 Citations (Scopus)

Localised Wannier Functions in Metallic systems

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

Research output: Contribution to journalJournal articleResearchpeer-review

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, In : Documenta Mathematica. 24, p. 65-93 28 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices

Cornean, D. H., Garde, H., Støttrup, B. & Sørensen, K. S., 2019, In : Journal of Pseudo-Differential Operators and Applications. 10, 2, p. 307-336 30 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Pseudodifferential Operators
Magnetic fields
Magnetic Field
Gages
Byproducts
3 Citations (Scopus)

Parseval Frames of Exponentially Localized Magnetic Wannier Functions

Cornean, H., Moscolari, M. & Monaco, D., 2019, In : Communications in Mathematical Physics.

Research output: Contribution to journalJournal articleResearchpeer-review

Parseval Frame

Peierls' substitution for low lying spectral energy windows

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

Research output: Contribution to journalJournal articleResearchpeer-review

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

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

Research output: Contribution to journalJournal articleResearchpeer-review

differential calculus
Differential Calculus
Substitution
substitutes
composite functions
1 Citation (Scopus)

Resolvent Convergence to Dirac Operators on Planar Domains

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

Research output: Contribution to journalJournal articleResearchpeer-review

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, In : Reviews in Mathematical Physics. 31, 4, 1950012.

Research output: Contribution to journalJournal articleResearchpeer-review

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, In : Communications in Partial Differential Equations. 43, 8, p. 1196-1204 9 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Gabor Frames
Electric commutators
Tight Frame
Pseudodifferential Operators
Commutator
Open Access
Resolvent
Norm
Estimate
Closed Operator
Unbounded Operators
1 Citation (Scopus)

A Mathematical Account of the NEGF Formalism

Cornean, D. H., Moldoveanu, V. & Pillet, C-A., 1 Feb 2018, In : Annales Henri Poincare. 19, 2, p. 411-442 32 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Green's function
Green's functions
formalism
Volterra Operator
Analytic Continuation
1 Citation (Scopus)

On the adiabatic theorem when eigenvalues dive into the continuum

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

Research output: Contribution to journalJournal articleResearchpeer-review

Survival Probability
Bound States
Continuum
eigenvalues
theorems
2017
2 Citations (Scopus)

Low lying spectral gaps induced by slowly varying magnetic fields

Cornean, D. H., Helffer, B. & Purice, R., Jul 2017, In : Journal of Functional Analysis. 273, 1, p. 206-282 77 p.

Research output: Contribution to journalJournal articleResearchpeer-review

On the adiabatic behaviour of a Wigner-Weisskopf atom

Cornean, D. H., Jensen, A., Knörr, H. K. & Nenciu, G., 2017, Proceedings of the Conference on Spectral and Scattering Theory and Related Topics, 2016: RIMS Kâkyûroku No. 2045. 4 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearch

4 Citations (Scopus)

On the construction of Wannier functions in topological insulators: the 3D case

Cornean, D. H. & Monaco, D., Dec 2017, In : Annales Henri Poincare. 18, 12, p. 3862-3902 40 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Insulator
Time Reversal
insulators
Homotopy
Composite
2 Citations (Scopus)

On the existence of impurity bound excitons in one-dimensional systems with zero range interactions

Have, J., Kovarík, H., Pedersen, T. G. & Cornean, D. H., 2017, In : Journal of Mathematical Physics. 58, 5, 17 p., 052106.

Research output: Contribution to journalJournal articleResearchpeer-review

1 Citation (Scopus)

Spectral Gaps in Graphene Antidot Lattices

Barbaroux, J-M., Cornean, D. H. & Stockmeyer, E., Dec 2017, In : Integral Equations and Operator Theory. 89, 4, p. 631-646 16 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Spectral Gap
Graphene
13 Citations (Scopus)

Wannier functions and Z2 invariants in time-reversal symmetric topological insulators

Cornean, D. H., Monaco, D. & Teufel, S., Jan 2017, In : Reviews in Mathematical Physics. 29, 2, 66 p., 1730001.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
2016

On the adiabatic theorem when eigenvalues dive into the continuum

Cornean, D. H., Jensen, A., Knörr, H. K. & Nenciu, G., 8 Dec 2016, ArXiv, 21 p. (arXiv.org (e-prints)).

Research output: Working paperResearch

eigenvalues
theorems
continuums
continuous spectra
energy
13 Citations (Scopus)

On the construction of composite Wannier functions

Cornean, D. H., Herbst, I. & Nenciu, G., 2016, In : Annales Henri Poincare. 17, 12, p. 3361-3398

Research output: Contribution to journalJournal articleResearchpeer-review

On the sublinear behavior of massive multi-user MIMO sum-rates for deterministic channel models

Bentosela, F., Cornean, D. H., Farhang, A. & Marchetti, N., 2016, In : I E E E Transactions on Communications. 64, 10, 16 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2015
7 Citations (Scopus)

Metastable states when the Fermi Golden Rule constant vanishes

Cornean, H., Jensen, A. & Nenciu, G., 2015, In : Communications in Mathematical Physics. 334, 3, p. 1189-1218 30 p.

Research output: Contribution to journalJournal articleResearchpeer-review

3 Citations (Scopus)
175 Downloads (Pure)

Spectral edge regularity of magnetic Hamiltonians

Cornean, H. & Purice, R., Aug 2015, In : Journal of the London Mathematical Society. 92, 1, p. 89-104 16 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Open Access
File
2014
2 Citations (Scopus)

A Convergence Result for the Euler-Maruyama Method for a Simple Stochastic Differential Equation with Discontinuous Drift

Simonsen, M., Schiøler, H., Leth, J-J. & Cornean, H., 2014, American Control Conference (ACC), 2014. IEEE Press, p. 5180 - 5185 6 p. (American Control Conference).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Euler-Maruyama Method
Convergence Results
Stochastic Equations
Differential equation
Converge
3 Citations (Scopus)

Complex communication systems achieving interference-free frequency allocation

Macaluso, I., Cornean, H., Marchetti, N. & Doyle, L., 2014, IEEE ICC 2014 - Cognitive Radio and Networks Symposium. IEEE Press, p. 1447-1452 6 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

4 Citations (Scopus)

Influence of environment richness on the increase of MIMO capacity with number of antennas

Bentosela, F., Marchetti, N. & Cornean, H., 2014, In : I E E E Transactions on Antennas and Propagation. 62, 7, p. 3786-3796 11 p.

Research output: Contribution to journalJournal articleResearchpeer-review

7 Citations (Scopus)

Memory Effects in Non-Interacting Mesoscopic Transport

Cornean, H., Jensen, A. & Nenciu, G., Oct 2014, In : Annales Henri Poincare. 15, 10, p. 1919-1943 25 p.

Research output: Contribution to journalJournal articleResearchpeer-review

10 Citations (Scopus)

On the steady state correlation functions of open interacting systems

Cornean, H., Moldoveanu, V. & Pillet, C-A., Oct 2014, In : Communications in Mathematical Physics. 331, 1, p. 261-295 35 p.

Research output: Contribution to journalJournal articleResearchpeer-review

4 Citations (Scopus)

The Cayley transform applied to non-interacting quantum transport

Cornean, H., Neidhardt, H., Wilhelm, L. & Zagrebnov, V. A., Feb 2014, In : Journal of Functional Analysis. 266, 3, p. 1421-1475 55 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2013
632 Downloads (Pure)

A Simple Stochastic Differential Equation with Discontinuous Drift

Simonsen, M., Leth, J-J., Schiøler, H. & Cornean, H., 22 Aug 2013, Proceedings Third International Workshop on Hybrid Autonomous Systems, Rome 17th March 2013. Open Publishing Association, p. 109-123 (Electronic Proceedings in Theoretical Computer Science, Vol. 124).

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

File
Euler-Maruyama Method
Fokker-Planck Equation
Stochastic Equations
Differential equation
Density Function
572 Downloads (Pure)

Metastable states when the Fermi Golden Rule constant vanishes

Cornean, H., Jensen, A. & Nenciu, G., Dec 2013, Department of Mathematical Sciences, Aalborg University. 28 p. (Research Report Series; No. 11).

Research output: Book/ReportReportResearch

File

MIMO capacity for deterministic channel models: sublinear growth

Bentosela, F., Cornean, H. & Marchetti, N., 2013, In : Mathematical Methods in the Applied Sciences. 36, 1, p. 18–27 10 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Channel Model
Deterministic Model
Transfer Matrix
MIMO systems
Multiple-input multiple-output (MIMO)
5 Citations (Scopus)

On the Verdet constant and Faraday rotation for graphene-like materials

Brynildsen, M. H. & Cornean, H., 8 May 2013, In : Reviews in Mathematical Physics. 25, 28 p.

Research output: Contribution to journalJournal articleResearchpeer-review

3 Citations (Scopus)

Sharp trace asymptotics for a class of 2D magnetic operators

Cornean, H., Fournais, S., Frank, R. L. & Helffer, B., 2013, In : Annales de l'Institut Fourier. 63, 6, p. 2457-2513 56 p.

Research output: Contribution to journalJournal articleResearchpeer-review

2012
7 Citations (Scopus)

Adiabatic non-equilibrium steady states in the partition free approach

Cornean, H., Duclos, P. & Purice, R., 2012, In : Annales Henri Poincare. 13, 4, p. 827-856 30 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Nonequilibrium Steady State
partitions
Partition
Thermal Equilibrium
Continuous System
7 Citations (Scopus)
148 Downloads (Pure)

A rigorous proof of the Landau-Peierls formula and much more

Briet, P., Cornean, H. & Savoie, B., 2012, In : Annales Henri Poincare. 13, 1, p. 1-40 40 p.

Research output: Contribution to journalJournal articleResearchpeer-review

File
gas density
gas temperature
electron gas
insulators
magnetic permeability
916 Downloads (Pure)

Memory effects in non-interacting mesoscopic transport

Cornean, H., Jensen, A. & Nenciu, G., Nov 2012, Department of Mathematical Sciences, Aalborg University. 17 p. (Research Report Series; No. R-2012-05).

Research output: Book/ReportReportResearch

File
7 Citations (Scopus)

On the regularity of the Hausdorff distance between spectra of perturbed magnetic Hamiltonians

Cornean, H. & Purice, R., 2012, Spectral Analysis of Quantum Hamiltonians: Spectral Days 2010. Springer Science+Business Media, p. 55-66 12 p. (Operator Theory, Vol. 224).

Research output: Contribution to book/anthology/report/conference proceedingBook chapterResearchpeer-review

Hausdorff Distance
Regularity
Magnetic Field
Regularity Properties
Pseudodifferential Operators
4 Citations (Scopus)

Optical absorption of charged excitons in semiconducting carbon nanotubes

Rønnow, T. F., Pedersen, T. G. & Cornean, H., Mar 2012, In : Physica E: Low-Dimensional Systems and Nanostructures. 44, 6, p. 936-939 4 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Carbon Nanotubes
Excitons
Light absorption
Carbon nanotubes
optical absorption
6 Citations (Scopus)

Optical Hall conductivity in bulk and nanostructured graphene beyond the Dirac approximation

Pedersen, J. G., Brynildsen, M. H., Cornean, H. & Pedersen, T. G., 26 Dec 2012, In : Physical Review B (Condensed Matter and Materials Physics). 86, 23

Research output: Contribution to journalJournal articleResearchpeer-review

840 Downloads (Pure)

Various rigorous results on quantum systems with long range magnetic fields

Cornean, H., Feb 2012, 53 p.

Research output: Book/ReportDoctoral thesisResearch

File
2011
19 Citations (Scopus)

Nonequilibrium steady states for interacting open systems: Exact results

Moldoveanu, V., Cornean, H. & Pillet, C-A., 2011, In : Physical Review B (Condensed Matter and Materials Physics). 84, 07, 6 p.

Research output: Contribution to journalJournal articleResearchpeer-review

6 Citations (Scopus)

On the cotunneling of interacting quantum dots

Cornean, H. & Moldoveanu, V., Jun 2011, In : Journal of Physics A: Mathematical and Theoretical. 44, 30, 17 p.

Research output: Contribution to journalJournal articleResearchpeer-review

3 Citations (Scopus)

On the transfer matrix of a MIMO system

Bentosela, F., Cornean, H., Fleury, B. H. & Marchetti, N., May 2011, In : Mathematical Methods in the Applied Sciences. 34, 8, p. 963-976 14 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Multiple-input multiple-output (MIMO) Systems
Maxwell equations
Transfer Matrix
Multiple-input multiple-output (MIMO)
Scattering
13 Citations (Scopus)

Performance Evaluation of AODV, DSDV & DSR for Quasi Random Deployment of Sensor Nodes in Wireless Sensor Networks

Kulkarni, N. P., Prasad, R., Cornean, H. & Gupta, N., 2011, Proceedings of International Conference on Devices and Communications (ICDeCom), 2011. IEEE Press, 5 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Sensor nodes
Wireless sensor networks
Routing protocols
Energy utilization
Network protocols
1 Citation (Scopus)

Power consumption optimization strategy for wireless networks

Cornean, H., Kumar, S. & Marchetti, N., 2011, In : Wireless Personal Communications. 59, 3, p. 487-498 12 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Wireless networks
Electric power utilization
Telecommunication networks
4 Citations (Scopus)

Unified analytical equation for theoretical determination of the harmonic components of modern PWM strategies

Mathe, L., Cornean, H., Sera, D., Rasmussen, P. O. & Pedersen, J. K., Nov 2011, Proceedings of the 37th Annual Conference of IEEE Industrial Electronics Society, IECON 2011. Melbourne, Australia: IEEE Press, p. 1648 -1653 6 p.

Research output: Contribution to book/anthology/report/conference proceedingArticle in proceedingResearchpeer-review

Pulse width modulation
Electric potential
Modulation
Electric motors
Vector spaces
2010
8 Citations (Scopus)

A partition-free approach to transient and steady-state charge currents

Cornean, H., Gianesello, C. & Zagrebnov, V., 2010, In : Journal of Physics A: Mathematical and Theoretical. 43, 47, 15 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Transient State
Fermions
partitions
Charge
Partition