• 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). 6 p.

Research output: Contribution to journalJournal articleResearchpeer-review

Green's function
partitions
Green's functions
operators
interactions
1 Citation (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

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

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., 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
Pseudodifferential Operators
Magnetic Field
Lipschitz Continuity
Hausdorff Distance
Spectral Gap
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

3 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
11 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
12 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
6 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)
141 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
594 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
549 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)
4 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)
120 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
892 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
3 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

837 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
18 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
10 Citations (Scopus)
632 Downloads (Pure)

Cooperative Opportunistic Large Array Approach for Cognitive Radio Networks

Rohokale, V. M., Kulkarni, N. P., Prasad, N. R. & Cornean, H., 2010, Proceedings of 8th International Conference on Communications, COMM 2010: COMM 2010, 10th-12th June 2010, Bucharest, Romania. IEEE Press, p. 513

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

Open Access
File