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Author ID: graf.gian-michele Recent zbMATH articles by "Graf, Gian Michele"
Published as: Graf, Gian Michele; Graf, G. M.
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Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 650 times in 482 Documents Cited by Year
Asymptotic completeness for N-body short-range quantum systems: A new proof. Zbl 0726.35096
Graf, Gian Michele
67
1990
Localization bounds for an electron gas. Zbl 0953.82009
Aizenman, M.; Graf, G. M.
63
1998
Bulk-edge correspondence for two-dimensional topological insulators. Zbl 1291.82120
Graf, Gian Michele; Porta, Marcello
56
2013
Equality of the bulk and edge Hall conductances in a mobility gap. Zbl 1086.81081
Elgart, A.; Graf, G. M.; Schenker, J. H.
42
2005
Equality of bulk and edge Hall conductance revisited. Zbl 1001.81091
Elbau, P.; Graf, G. M.
40
2002
A general resonance theory based on Mourre’s inequality. Zbl 1093.81023
Cattaneo, Laura; Graf, Gian Michele; Hunziker, Walter
25
2006
Symmetry breaking regime in the nonlinear Hartree equation. Zbl 1060.81012
Aschbacher, W. H.; Fröhlich, J.; Graf, G. M.; Schnee, K.; Troyer, M.
25
2002
A correlation estimate with applications to quantum systems with Coulomb interactions. Zbl 0843.47041
Graf, Gian Michele; Solovej, Jan Philip
24
1994
A remark on the estimate of a determinant by Minami. Zbl 1104.82008
Graf, Gian Michele; Vaghi, Alessio
23
2007
Bulk-edge correspondence for two-dimensional Floquet topological insulators. Zbl 1392.82008
Graf, Gian Michele; Tauber, Clément
19
2018
Anderson localization and the space-time characteristic of continuum states. Zbl 0828.60092
Graf, Gian Michele
19
1994
On the extended nature of edge states of quantum Hall Hamiltonians. Zbl 1004.81043
Fröhlich, J.; Graf, G. M.; Walcher, J.
18
2000
Adiabatic theorems for generators of contracting evolutions. Zbl 1256.47062
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
17
2012
The bulk-edge correspondence for disordered chiral chains. Zbl 1401.82031
Graf, Gian Michele; Shapiro, Jacob
15
2018
2-magnon scattering in the Heisenberg model. Zbl 0879.47043
Graf, Gian Michele; Schenker, Daniel
15
1997
Phase space analysis of the charge transfer model. Zbl 0741.35050
Graf, Gian Michele
14
1990
Fredholm determinants and the statistics of charge transport. Zbl 1144.82033
Avron, J. E.; Bachmann, S.; Graf, G. M.; Klich, I.
14
2008
Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter. Zbl 0916.46059
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
14
1997
Asymptotic form of zero energy wave functions in supersymmetric matrix models. Zbl 0951.81083
Fröhlich, J.; Graf, G. M.; Hasler, D.; Hoppe, J.; Yau, S.-T.
13
2000
On the molecular limit of Coulomb gases. Zbl 0837.58048
Graf, Gian Michele; Schenker, Daniel
11
1995
Adiabatic charge pumping in open quantum systems. Zbl 1038.81073
Avron, Joseph E.; Elgart, Alexander; Graf, Gian Michele; Sadun, Lorenzo; Schnee, Kai
10
2004
Transport and dissipation in quantum pumps. Zbl 1142.82366
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
10
2004
Aspects of an integer quantum Hall effect. Zbl 1132.81356
Graf, Gian Michele
9
2007
The ground state energy of Schrödinger operators. Zbl 0784.34061
Gesztesy, F.; Graf, G. M.; Simon, B.
8
1992
Adiabatic response for Lindblad dynamics. Zbl 1257.82065
Avron, J. E.; Fraas, M.; Graf, G. M.
8
2012
The colored Hofstadter butterfly for the honeycomb lattice. Zbl 1296.82003
Agazzi, A.; Eckmann, J.-P.; Graf, G. M.
7
2014
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. Zbl 0998.47049
Bugliaro, L.; Fefferman, C.; Fröhlich, J.; Graf, G. M.; Stubbe, J.
7
1997
Equivalence of topological and scattering approaches to quantum pumping. Zbl 1227.34089
Bräunlich, G.; Graf, G. M.; Ortelli, G.
7
2010
Landau-Zener tunneling for dephasing Lindblad evolutions. Zbl 1221.81118
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
7
2011
Time-energy coherent states and adiabatic scattering. Zbl 1060.81616
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
5
2002
Stability of matter through an electrostatic inequality. Zbl 0864.58067
Graf, Gian Michele
4
1997
Classical action and quantum \(N\)-body asymptotic completeness. Zbl 0874.47039
Graf, Gian Michele; Schenker, Daniel
4
1997
No zero energy states for the supersymmetric \(x^2y^2\) potential. Zbl 1010.81079
Graf, G. M.; Hasler, D.; Hoppe, J.
4
2002
Proof of stability of the hydrogen molecule. Zbl 0972.81689
Richard, J.-M.; Fröhlich, J.; Graf, G. M.; Seifert, M.
4
1993
The Mourre estimate in the semiclassical limit. Zbl 0708.35072
Graf, Gian Michele
3
1990
Time ordering and counting statistics. Zbl 1202.82075
Bachmann, S.; Graf, G. M.; Lesovik, G. B.
3
2010
The real spectrum of the imaginary cubic oscillator: an expository proof. Zbl 1305.81082
Giordanelli, Ilario; Graf, Gian Michele
3
2015
Indirect measurements of a harmonic oscillator. Zbl 1422.81018
Fraas, Martin; Graf, Gian Michele; Hänggli, Lisa
2
2019
The heat kernel expansion for the electromagnetic field in a cavity. Zbl 1037.58016
Bernasconi, F.; Graf, G. M.; Hasler, D.
2
2003
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. II. Zbl 1109.81313
Bugliaro, Luca; Fefferman, Charles; Graf, Gian Michele
2
1999
Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field. Zbl 1125.81320
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
2
2006
Topology in shallow-water waves: a violation of bulk-edge correspondence. Zbl 1467.35321
Graf, Gian Michele; Jud, Hansueli; Tauber, Clément
2
2021
Scattering of magnetic edge states. Zbl 1088.81092
Buchendorfer, Christoph; Graf, Gian Michele
1
2006
Dynamical crossing of an infinitely degenerate critical point. Zbl 1366.81319
Bachmann, Sven; Fraas, Martin; Graf, Gian Michele
1
2017
The free energy of systems with net charge. Zbl 0833.58052
Graf, Gian Michele; Schenker, Daniel
1
1995
Topology in shallow-water waves: a violation of bulk-edge correspondence. Zbl 1467.35321
Graf, Gian Michele; Jud, Hansueli; Tauber, Clément
2
2021
Indirect measurements of a harmonic oscillator. Zbl 1422.81018
Fraas, Martin; Graf, Gian Michele; Hänggli, Lisa
2
2019
Bulk-edge correspondence for two-dimensional Floquet topological insulators. Zbl 1392.82008
Graf, Gian Michele; Tauber, Clément
19
2018
The bulk-edge correspondence for disordered chiral chains. Zbl 1401.82031
Graf, Gian Michele; Shapiro, Jacob
15
2018
Dynamical crossing of an infinitely degenerate critical point. Zbl 1366.81319
Bachmann, Sven; Fraas, Martin; Graf, Gian Michele
1
2017
The real spectrum of the imaginary cubic oscillator: an expository proof. Zbl 1305.81082
Giordanelli, Ilario; Graf, Gian Michele
3
2015
The colored Hofstadter butterfly for the honeycomb lattice. Zbl 1296.82003
Agazzi, A.; Eckmann, J.-P.; Graf, G. M.
7
2014
Bulk-edge correspondence for two-dimensional topological insulators. Zbl 1291.82120
Graf, Gian Michele; Porta, Marcello
56
2013
Adiabatic theorems for generators of contracting evolutions. Zbl 1256.47062
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
17
2012
Adiabatic response for Lindblad dynamics. Zbl 1257.82065
Avron, J. E.; Fraas, M.; Graf, G. M.
8
2012
Landau-Zener tunneling for dephasing Lindblad evolutions. Zbl 1221.81118
Avron, J. E.; Fraas, M.; Graf, G. M.; Grech, P.
7
2011
Equivalence of topological and scattering approaches to quantum pumping. Zbl 1227.34089
Bräunlich, G.; Graf, G. M.; Ortelli, G.
7
2010
Time ordering and counting statistics. Zbl 1202.82075
Bachmann, S.; Graf, G. M.; Lesovik, G. B.
3
2010
Fredholm determinants and the statistics of charge transport. Zbl 1144.82033
Avron, J. E.; Bachmann, S.; Graf, G. M.; Klich, I.
14
2008
A remark on the estimate of a determinant by Minami. Zbl 1104.82008
Graf, Gian Michele; Vaghi, Alessio
23
2007
Aspects of an integer quantum Hall effect. Zbl 1132.81356
Graf, Gian Michele
9
2007
A general resonance theory based on Mourre’s inequality. Zbl 1093.81023
Cattaneo, Laura; Graf, Gian Michele; Hunziker, Walter
25
2006
Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field. Zbl 1125.81320
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
2
2006
Scattering of magnetic edge states. Zbl 1088.81092
Buchendorfer, Christoph; Graf, Gian Michele
1
2006
Equality of the bulk and edge Hall conductances in a mobility gap. Zbl 1086.81081
Elgart, A.; Graf, G. M.; Schenker, J. H.
42
2005
Adiabatic charge pumping in open quantum systems. Zbl 1038.81073
Avron, Joseph E.; Elgart, Alexander; Graf, Gian Michele; Sadun, Lorenzo; Schnee, Kai
10
2004
Transport and dissipation in quantum pumps. Zbl 1142.82366
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
10
2004
The heat kernel expansion for the electromagnetic field in a cavity. Zbl 1037.58016
Bernasconi, F.; Graf, G. M.; Hasler, D.
2
2003
Equality of bulk and edge Hall conductance revisited. Zbl 1001.81091
Elbau, P.; Graf, G. M.
40
2002
Symmetry breaking regime in the nonlinear Hartree equation. Zbl 1060.81012
Aschbacher, W. H.; Fröhlich, J.; Graf, G. M.; Schnee, K.; Troyer, M.
25
2002
Time-energy coherent states and adiabatic scattering. Zbl 1060.81616
Avron, J. E.; Elgart, A.; Graf, G. M.; Sadun, L.
5
2002
No zero energy states for the supersymmetric \(x^2y^2\) potential. Zbl 1010.81079
Graf, G. M.; Hasler, D.; Hoppe, J.
4
2002
On the extended nature of edge states of quantum Hall Hamiltonians. Zbl 1004.81043
Fröhlich, J.; Graf, G. M.; Walcher, J.
18
2000
Asymptotic form of zero energy wave functions in supersymmetric matrix models. Zbl 0951.81083
Fröhlich, J.; Graf, G. M.; Hasler, D.; Hoppe, J.; Yau, S.-T.
13
2000
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. II. Zbl 1109.81313
Bugliaro, Luca; Fefferman, Charles; Graf, Gian Michele
2
1999
Localization bounds for an electron gas. Zbl 0953.82009
Aizenman, M.; Graf, G. M.
63
1998
2-magnon scattering in the Heisenberg model. Zbl 0879.47043
Graf, Gian Michele; Schenker, Daniel
15
1997
Stability of ultraviolet-cutoff quantum electrodynamics with non-relativistic matter. Zbl 0916.46059
Fefferman, Charles; Fröhlich, Jürg; Graf, Gian Michele
14
1997
A Lieb-Thirring bound for a magnetic Pauli Hamiltonian. Zbl 0998.47049
Bugliaro, L.; Fefferman, C.; Fröhlich, J.; Graf, G. M.; Stubbe, J.
7
1997
Stability of matter through an electrostatic inequality. Zbl 0864.58067
Graf, Gian Michele
4
1997
Classical action and quantum \(N\)-body asymptotic completeness. Zbl 0874.47039
Graf, Gian Michele; Schenker, Daniel
4
1997
On the molecular limit of Coulomb gases. Zbl 0837.58048
Graf, Gian Michele; Schenker, Daniel
11
1995
The free energy of systems with net charge. Zbl 0833.58052
Graf, Gian Michele; Schenker, Daniel
1
1995
A correlation estimate with applications to quantum systems with Coulomb interactions. Zbl 0843.47041
Graf, Gian Michele; Solovej, Jan Philip
24
1994
Anderson localization and the space-time characteristic of continuum states. Zbl 0828.60092
Graf, Gian Michele
19
1994
Proof of stability of the hydrogen molecule. Zbl 0972.81689
Richard, J.-M.; Fröhlich, J.; Graf, G. M.; Seifert, M.
4
1993
The ground state energy of Schrödinger operators. Zbl 0784.34061
Gesztesy, F.; Graf, G. M.; Simon, B.
8
1992
Asymptotic completeness for N-body short-range quantum systems: A new proof. Zbl 0726.35096
Graf, Gian Michele
67
1990
Phase space analysis of the charge transfer model. Zbl 0741.35050
Graf, Gian Michele
14
1990
The Mourre estimate in the semiclassical limit. Zbl 0708.35072
Graf, Gian Michele
3
1990
all top 5

Cited by 508 Authors

18 Schulz-Baldes, Hermann
16 Graf, Gian Michele
14 Porta, Marcello
11 Bachmann, Sven
11 Fraas, Martin
11 Seiringer, Robert
10 Gérard, Christian
10 Lewin, Mathieu
10 Stolz, Gunter
9 Germinet, François
9 Schenker, Jeffrey H.
9 Skibsted, Erik
8 Adachi, Tadayoshi
8 Cornean, Horia D.
8 Gomi, Kiyonori
8 Klein, Abel
8 Møller, Jacob Schach
8 Monaco, Domenico
8 Sigal, Israel Michael
8 Weinstein, Michael I.
7 De Nittis, Giuseppe
7 De Roeck, Wojciech
7 Dybalski, Wojciech
7 Hiroshima, Fumio
7 Joye, Alain
7 Panati, Gianluca
7 Solovej, Jan Philip
7 Tauber, Clément
7 Thiang, Guo Chuan
6 Faupin, Jérémy
6 Fröhlich, Jürg Martin
6 Jensen, Arne
6 Mastropietro, Vieri
6 Nenciu, Gheorghe
6 Phan Thành Nam
6 Schlein, Benjamin
6 Soffer, Avraham
5 Albeverio, Sergio A.
5 Avron, Joseph E.
5 Benedikter, Niels
5 Dereziński, Jan
5 Drouot, Alexis
5 Elgart, Alexander
5 Hislop, Peter D.
5 Kellendonk, Johannes
5 Lakaev, Saidakhmat Norzhigitovich
5 Pillet, Claude-Alain
5 Rougerie, Nicolas
5 Tautenhahn, Martin
5 Teufel, Stefan
5 Zielinski, Lech
4 Asch, Joachim
4 Boulton, Lyonell S.
4 Bourget, Olivier
4 Doyon, Benjamin
4 Fefferman, Charles Louis
4 Fournais, Søren
4 García del Moral, María Pilar
4 Griesemer, Marcel
4 Guo, Yujin
4 Hainzl, Christian
4 Klopp, Frédéric
4 Lieb, Elliott Hershel
4 Muminov, Zahriddin Ishkobilovich
4 Restuccia, Álvaro
4 Sacchetti, Andrea
4 Sims, Robert L.
4 Veselić, Ivan
3 Aizenman, Michael
3 Aza, N. J. B.
3 Bal, Guillaume
3 Bols, Alex
3 Bourne, Chris
3 Briet, Philippe
3 Chulaevsky, Victor
3 Deng, Qingquan
3 Fernández, Claudio A.
3 Giuliani, Alessandro
3 Hasler, David G.
3 Herbst, Ira W.
3 Kholmatov, Shokhrukh Yusufovich
3 Koma, Tohru
3 Łaba, Izabella
3 Marcelli, Giovanna
3 Merkli, Marco
3 Naboko, Serguei N.
3 Nachtergaele, Bruno
3 Nakano, Fumihiko
3 Petrat, Sören
3 Rennie, Adam
3 Shapiro, Jacob
3 Simon, Barry
3 Soccorsi, Eric
3 Sodin, Sasha
3 Vasy, András
3 Watson, Alexander B.
3 Werner, Albert H.
3 Werner, Reinhard F.
3 Yao, Xiaohua
3 Zeng, Xiaoyu
...and 408 more Authors
all top 5

Cited in 102 Serials

84 Communications in Mathematical Physics
55 Journal of Mathematical Physics
41 Annales Henri Poincaré
33 Journal of Statistical Physics
31 Reviews in Mathematical Physics
19 Letters in Mathematical Physics
19 Journal of Functional Analysis
11 Mathematical Physics, Analysis and Geometry
7 Journal of Mathematical Analysis and Applications
7 Advances in Mathematics
7 Journal of Differential Equations
6 Nuclear Physics. B
6 Duke Mathematical Journal
6 Communications in Partial Differential Equations
6 Annales de l’Institut Henri Poincaré. Physique Théorique
5 SIAM Journal on Mathematical Analysis
4 Archive for Rational Mechanics and Analysis
4 Journal of Geometry and Physics
4 Inventiones Mathematicae
4 Physica D
4 Journal of Statistical Mechanics: Theory and Experiment
4 Journal of Spectral Theory
3 Annales de l’Institut Fourier
3 Proceedings of the American Mathematical Society
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Discrete and Continuous Dynamical Systems
3 New Journal of Physics
3 Journal of High Energy Physics
3 Bulletin of Mathematical Sciences
2 Communications on Pure and Applied Mathematics
2 Journal d’Analyse Mathématique
2 Nonlinearity
2 Physics Letters. A
2 Physics Reports
2 Reviews of Modern Physics
2 Integral Equations and Operator Theory
2 Mathematische Zeitschrift
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2 Calculus of Variations and Partial Differential Equations
2 Journal of Physics A: Mathematical and Theoretical
2 Journal de l’École Polytechnique – Mathématiques
2 Pure and Applied Analysis
1 International Journal of Modern Physics B
1 Classical and Quantum Gravity
1 International Journal of Theoretical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Physics Letters. B
1 Reports on Mathematical Physics
1 Theoretical and Mathematical Physics
1 Arkiv för Matematik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Hiroshima Mathematical Journal
1 Indiana University Mathematics Journal
1 Information Sciences
1 International Journal of Mathematics and Mathematical Sciences
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Quarterly of Applied Mathematics
1 Results in Mathematics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Annals of Global Analysis and Geometry
1 Probability Theory and Related Fields
1 Constructive Approximation
1 The Annals of Applied Probability
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Mémoires de la Société Mathématique de France. Nouvelle Série
1 Journal of Nonlinear Science
1 Russian Mathematics
1 SIAM Journal on Scientific Computing
1 Russian Journal of Mathematical Physics
1 Physics of Fluids
1 Random Operators and Stochastic Equations
1 Bulletin des Sciences Mathématiques
1 Documenta Mathematica
1 Journal of Mathematical Chemistry
1 Infinite Dimensional Analysis, Quantum Probability and Related Topics
1 Annals of Mathematics. Second Series
1 LMS Journal of Computation and Mathematics
1 Journal of the European Mathematical Society (JEMS)
1 Journal of Dynamical and Control Systems
1 Communications in Contemporary Mathematics
1 Lobachevskii Journal of Mathematics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Multiscale Modeling & Simulation
1 Oberwolfach Reports
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Journal of Fixed Point Theory and Applications
1 Complex Analysis and Operator Theory
1 SIAM Journal on Imaging Sciences
1 Involve
1 Kyoto Journal of Mathematics
1 Annalen der Physik
1 EMS Surveys in Mathematical Sciences
...and 2 more Serials
all top 5

Cited in 47 Fields

333 Quantum theory (81-XX)
212 Statistical mechanics, structure of matter (82-XX)
162 Partial differential equations (35-XX)
116 Operator theory (47-XX)
39 Functional analysis (46-XX)
39 Probability theory and stochastic processes (60-XX)
18 \(K\)-theory (19-XX)
18 Ordinary differential equations (34-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Mechanics of particles and systems (70-XX)
13 Dynamical systems and ergodic theory (37-XX)
9 Linear and multilinear algebra; matrix theory (15-XX)
9 Optics, electromagnetic theory (78-XX)
8 Algebraic topology (55-XX)
7 Differential geometry (53-XX)
6 Fluid mechanics (76-XX)
5 Difference and functional equations (39-XX)
5 Relativity and gravitational theory (83-XX)
4 Combinatorics (05-XX)
4 Functions of a complex variable (30-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Manifolds and cell complexes (57-XX)
4 Biology and other natural sciences (92-XX)
3 General and overarching topics; collections (00-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Numerical analysis (65-XX)
3 Geophysics (86-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Algebraic geometry (14-XX)
2 Group theory and generalizations (20-XX)
2 Topological groups, Lie groups (22-XX)
2 Special functions (33-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Statistics (62-XX)
2 Mechanics of deformable solids (74-XX)
2 Astronomy and astrophysics (85-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Measure and integration (28-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral equations (45-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)
1 Systems theory; control (93-XX)

Citations by Year

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