## Loss, Michael

Compute Distance To:
 Author ID: loss.michael Published as: Loss, Michael; Loss, M.; Loss, Michael P.; Loos, Michael more...less Homepage: https://loss.math.gatech.edu/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 111 Publications since 1986, including 3 Books 2 Contributions as Editor Co-Authors: 57 Co-Authors with 109 Joint Publications 1,706 Co-Co-Authors
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### Co-Authors

 4 single-authored 24 Dolbeault, Jean 24 Esteban, Maria J. 24 Lieb, Elliott Hershel 22 Carlen, Eric Anders 8 Carvalho, Maria Conceição 8 Laptev, Ari 6 Benguria, Rafael D. 6 Bonetto, Federico 5 Harrell, Evans M. II 5 Stolz, Gunter 5 Thaller, Bernd 4 Frank, Rupert L. 3 Kowalczyk, Michał 3 Miyao, Tadahiro 3 Spohn, Herbert 2 Baker, Jeff 2 Bonheure, Denis 2 Depassier, M. Cristina 2 Exner, Pavel 2 Geisinger, Alissa 2 Geronimo, Jeffrey S. 2 Klopp, Frédéric 2 Nakamura, Shu 2 Siedentop, Heinz Karl Heinrich 2 Vaidyanathan, Ranjini 1 Baernstein, Albert II 1 Borthwick, David 1 Carrillo de la Plata, José Antonio 1 Deuchert, Andreas 1 Einav, Amit 1 Erdős, László 1 Estep, Donald J. 1 Felmer, Patricio L. 1 Fröhlich, Jürg Martin 1 Griesemer, Marcel 1 Hagedorn, George A. 1 Hainzl, Christian 1 Ilyin, Alexei A. 1 Jauslin, Ian 1 Kieffer, Thomas F. 1 Le Roux, Jonathan 1 McCann, Robert J. 1 Muratori, Matteo 1 Paturel, Eric 1 Rauch, Jeffrey B. 1 Reshetnyak, Yuriĭ Grigor’evich 1 Ried, Tobias 1 Slawny, Joseph 1 Sloane, Craig A. 1 Solovej, Jan Philip 1 Tarantello, Gabriella 1 Tossounian, Hagop 1 Vega, Luis 1 Villani, Cédric 1 Vougalter, Vitali 1 Weidl, Timo 1 Yau, Horng-Tzer 1 Zelik, Sergey V.
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### Serials

 12 Communications in Mathematical Physics 8 Journal of Mathematical Physics 8 Journal of Functional Analysis 4 Annales Henri Poincaré 3 Letters in Mathematical Physics 3 Duke Mathematical Journal 3 IMRN. International Mathematics Research Notices 3 Mathematical Research Letters 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Statistical Physics 2 Reviews in Mathematical Physics 2 Advances in Mathematics 2 Inventiones Mathematicae 2 Journal of the European Mathematical Society (JEMS) 2 Contemporary Mathematics 2 Graduate Studies in Mathematics 1 Helvetica Physica Acta 1 Mathematics of Computation 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 The Annals of Probability 1 Journal of Differential Equations 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Chinese Annals of Mathematics. Series B 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Physics A: Mathematical and General 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Mathematical Analysis 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Grazer Mathematische Berichte 1 Journées Équations aux Dérivées Partielles (Saint-Jean-de-Monts) 1 Séminaire Équations aux Dérivées Partielles 1 Methods and Applications of Analysis 1 Advances in Theoretical and Mathematical Physics 1 Physical Review Letters 1 Advanced Nonlinear Studies 1 Journal of Physics A: Mathematical and Theoretical 1 RIMS Kôkyûroku Bessatsu 1 Discrete and Continuous Dynamical Systems. Series S 1 Kinetic and Related Models 1 Journal of Elliptic and Parabolic Equations
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### Fields

 47 Partial differential equations (35-XX) 47 Quantum theory (81-XX) 20 Functional analysis (46-XX) 19 Operator theory (47-XX) 18 Real functions (26-XX) 17 Statistical mechanics, structure of matter (82-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Probability theory and stochastic processes (60-XX) 6 Ordinary differential equations (34-XX) 6 Differential geometry (53-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Measure and integration (28-XX) 4 Potential theory (31-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

97 Publications have been cited 2,404 times in 1,842 Documents Cited by Year
Analysis. 2nd ed. Zbl 0966.26002
Lieb, Elliott H.; Loss, Michael
2001
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
2001
Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on $$S^ n$$. Zbl 0754.47041
Carlen, E.; Loss, M.
1992
Stability of Coulomb systems with magnetic fields. I: The one-electron atom. Zbl 0595.35098
Fröhlich, Jürg; Lieb, Elliott H.; Loss, Michael
1986
Analysis. Zbl 0873.26002
Lieb, Elliott H.; Loss, Michael
1996
Extremals of functionals with competing symmetries. Zbl 0705.46016
Carlen, Eric A.; Loss, Michael
1990
Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator. Zbl 0607.35083
Loss, Michael; Yau, Horng-Tzer
1986
Sharp constant in Nash’s inequality. Zbl 0822.35018
Carlen, Eric A.; Loss, Michael
1993
A sharp analog of Young’s inequality on $$S^N$$ and related entropy inequalities. Zbl 1056.43002
Carlen, E. A.; Lieb, E. H.; Loss, M.
2004
Determination of the spectral gap for Kac’s master equation and related stochastic evolution. Zbl 1080.60091
Carlen, E. A.; Carvalho, M. C.; Loss, M.
2003
The sharp constant in the Hardy-Sobolev-Maz’ya inequality in the three-dimensional upper half space. Zbl 1173.26011
Benguria, Rafael D.; Frank, Rupert L.; Loss, Michael
2008
Entropy and chaos in the Kac model. Zbl 1186.76675
Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric
2010
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
2003
Lieb-Thirring inequalities with improved constants. Zbl 1152.35451
Dolbeault, Jean; Laptev, Ari; Loss, Michael
2008
Hardy inequalities for fractional integrals on general domains. Zbl 1194.26011
Loss, Michael; Sloane, Craig
2010
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. Zbl 1379.49021
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2016
Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation. Zbl 0859.35011
Carlen, Eric A.; Loss, Michael
1995
Fluxes, Laplacians, and Kasteleyn’s theorem. Zbl 0787.05083
Lieb, Elliott H.; Loss, Michael
1993
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows. Zbl 1256.42028
Carlen, Eric A.; Carrillo, José A.; Loss, Michael
2010
Self-adjointness for Dirac operators via Hardy-Dirac inequalities. Zbl 1152.81423
Esteban, Maria J.; Loss, M.
2007
Scattering of particles by long-range magnetic fields. Zbl 0646.35074
Loss, Michael; Thaller, Bernd
1987
Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems. Zbl 1104.35021
Dolbeault, J.; Felmer, P.; Loss, M.; Paturel, E.
2006
On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1182.26031
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Tarantello, Gabriella
2009
Stability of matter in magnetic fields. Zbl 1020.81957
Lieb, Elliott H.; Loss, Michael; Solovej, Jan Philip
1995
Non-stochasticity of time-dependent quadratic Hamiltonians and the spectra of canonical transformations. Zbl 0601.70013
Hagedorn, George A.; Loss, Michael; Slawny, Joseph
1986
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows. Zbl 1320.26017
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2014
Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule. Zbl 0607.35082
Lieb, Elliott H.; Loss, Michael
1986
An analytical proof of Hardy-like inequalities related to the Dirac operator. Zbl 1060.35120
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Vega, Luis
2004
Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080
Loss, Michael; Miyao, Tadahiro; Spohn, Herbert
2007
Minimizing the ground state energy of an electron in a randomly deformed lattice. Zbl 1157.81009
Baker, Jeff; Loss, Michael; Stolz, Günter
2008
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
2002
A simple proof of a theorem of Laptev and Weidl. Zbl 0963.34077
Benguria, Rafael; Loss, Michael
2000
Hardy-Sobolev-Maz’ya inequalities for arbitrary domains. Zbl 1233.49023
Frank, Rupert L.; Loss, Michael
2012
Many-body aspects of approach to equilibrium. Zbl 1213.81230
Carlen, Eric; Carvalho, M. C.; Loss, Michael
2000
Connection between the Lieb-Thirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane. Zbl 1087.81042
Benguria, Rafael D.; Loss, Michael
2004
Localization for the random displacement model. Zbl 1285.82030
Klopp, Frédéric; Loss, Michael; Nakamura, Shu; Stolz, Günter
2012
Nonlinear flows and rigidity results on compact manifolds. Zbl 1294.58005
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2014
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
2006
Symmetry of the Ginzburg-Landau minimizer in a disc. Zbl 0842.49014
Lieb, Elliott H.; Loss, Michael
1994
Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael
2013
Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature. Zbl 0971.58018
Exner, Pavel; Harrell, Evans M.; Loss, Michael
1999
Determination of the spectral gap in the Kac model for physical momentum and energy-conserving collisions. Zbl 1163.82007
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
2008
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
2004
Pólya’s conjecture in the presence of a constant magnetic field. Zbl 1179.35205
Frank, Rupert L.; Loss, Michael; Weidl, Timo
2009
Diamagnetic behavior of sums of Dirichlet eigenvalues. Zbl 0957.35104
Erdős, László; Loss, Michael; Vougalter, Vitali
2000
Inequalities for means of chords, with application to isoperimetric problems. Zbl 1111.35019
Exner, Pavel; Harrell, Evans M.; Loss, Michael
2006
Stability of a model of relativistic quantum electrodynamics. Zbl 1005.81091
Lieb, Elliott H.; Loss, Michael
2002
On the minimization of symmetric functionals. Zbl 0871.47047
Carlen, Eric A.; Loss, Michael
1994
The Kac model coupled to a thermostat. Zbl 1302.35290
Bonetto, Federico; Loss, Michael; Vaidyanathan, Ranjini
2014
Optimal heat kernel estimates for Schrödinger operators with magnetic fields in two dimensions. Zbl 0873.35078
Loss, Michael; Thaller, Bernd
1997
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities. (Symétrie des fonctions extrémales pour des inégalités de Caffarelli-Kohn-Nirenberg sous-critiques.) Zbl 1379.49009
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo
2017
On the Laplace operator penalized by mean curvature. Zbl 0928.35028
Harrell, Evans M. II; Loos, Michael
1998
Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. Zbl 1276.58007
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2013
Improved interpolation inequalities on the sphere. Zbl 1290.26022
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael
2014
Some conjectures about $$L^{p}$$ norms of $$k$$-plane transforms. Zbl 1016.44002
Baernstein, Albert II; Loss, Michael
1997
Low energy properties of the random displacement model. Zbl 1167.82014
Baker, Jeff; Loss, Michael; Stolz, Günter
2009
Symmetry of extremals of functional inequalities via spectral estimates for linear operators. Zbl 1301.26019
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2012
One-dimensional interpolation inequalities, Carlson-Landau inequalities, and magnetic Schrödinger operators. Zbl 1336.35016
Ilyin, Alexei; Laptev, Ari; Loss, Michael; Zelik, Sergey
2016
Relativistic hydrogenic atoms in strong magnetic fields. Zbl 1130.81033
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2007
Logarithmic Sobolev inequalities and spectral gaps. Zbl 1149.46027
Carlen, Eric; Loss, Michael
2004
On the Markov sequence problem for Jacobi polynomials. Zbl 1228.31002
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
2011
Uniform approximation of a Maxwellian thermostat by finite reservoirs. Zbl 1371.82064
Bonetto, F.; Loss, M.; Tossounian, H.; Vaidyanathan, R.
2017
Sharp trace inequalities for fractional Laplacians. Zbl 1276.35011
Einav, Amit; Loss, Michael
2012
Self-energy of electrons in non-perturbative QED. Zbl 1035.81066
Lieb, Elliott H.; Loss, Michael
2000
The Skyrme model on Riemannian manifolds. Zbl 0643.58035
Loss, Michael
1987
Stability of relativistic matter via Thomas-Fermi theory. Zbl 0866.47050
Lieb, Elliott H.; Loss, Michael; Siedentop, Heinz
1996
Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model. Zbl 1153.81320
Benguria, Rafael D.; Loss, Michael; Siedentop, Heinz
2008
Self-adjointness via partial Hardy-like inequalities. Zbl 1156.81369
Esteban, Maria J.; Loss, Michael
2008
The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field. I: The lower bound. Zbl 1115.81064
Lieb, Elliott H.; Loss, Michael
2005
Spectral gap for the Kac model with hard sphere collisions. Zbl 1290.60100
Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael
2014
Magnetic rings. Zbl 1390.81142
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2018
Kramers degeneracy theorem in nonrelativistic QED. Zbl 1183.47078
Loss, Michael; Miyao, Tadahiro; Spohn, Herbert
2009
Analysis. Transl. from the English by T. N. Rozhkovskaya. Transl. ed. by Yu. G. Reshetnyak. (Analiz.) Zbl 0918.26002
Lieb, Elliott H.; Loss, Michael
1998
Short-range scattering in long-range magnetic fields: The relativistic case. Zbl 0664.34035
Loss, Michael; Thaller, Bernd
1988
Kinetic theory and the Kac master equation. Zbl 1244.82069
Carlen, Eric; Carvalho, Maria C.; Loss, Michael
2011
Interpolation inequalities on the sphere: linear vs. nonlinear flows. Zbl 1372.58017
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2017
Self-energy of electrons in non-perturbative QED. Zbl 1056.81581
Lieb, Elliott H.; Loss, Michael
2000
Monotonicity of the period of a nonlinear oscillator. Zbl 1366.34055
Benguria, Rafael D.; Cristina Depassier, M.; Loss, Michael
2016
On a quantum entropy power inequality of Audenaert, Datta, and Ozols. Zbl 1341.81015
Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael
2016
Uniform density theorem for the Hubbard model. Zbl 0773.60091
Lieb, Elliott H.; Loss, Michael; McCann, Robert J.
1993
Entropy decay for the Kac evolution. Zbl 1405.35126
Bonetto, Federico; Geisinger, Alissa; Loss, Michael; Ried, Tobias
2018
Interpolation inequalities and spectral estimates for magnetic operators. Zbl 1388.81104
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2018
Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization. Zbl 1386.35174
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2016
Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. Zbl 1439.81049
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2020
Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders. (Inégalités de Keller-Lieb-Thirring pour des opérateurs de Schrödinger sur des cylindres.) Zbl 1323.35035
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2015
Boundedness of dispersive difference schemes. Zbl 0729.65065
Estep, Donald; Loss, Michael; Rauch, Jeffrey
1990
Characterization of the critical magnetic field in the Dirac-Coulomb equation. Zbl 1139.81034
Dolbeault, Jean; Esteban, Maria Jesus; Loss, Michael
2008
Rigorous results for the minimal speed of Kolmogorov-Petrovskii-Piscounov monotonic fronts with a cutoff. Zbl 1282.35117
Benguria, Rafael D.; Depassier, M. Cristina; Loss, Michael
2012
Symmetry and symmetry breaking: rigidity and flows in elliptic PDES. Zbl 1453.35066
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2018
Entropic chaoticity for the steady state of a current carrying system. Zbl 1291.37045
Bonetto, F.; Loss, M.
2013
Advances in differential equations and mathematical physics. 1997 Georgia Tech-UAB international conference, Atlanta, GA, USA, March 23–29, 1997. Zbl 0884.00038
1998
Persistence of translational symmetry in the BCS model with radial pair interaction. Zbl 1393.82028
Deuchert, Andreas; Geisinger, Alissa; Hainzl, Christian; Loss, Michael
2018
Many-body aspects of approach to equilibrium. Zbl 1255.82047
Carlen, E.; Carvalho, M. C.; Loss, M.
2001
Understanding the random displacement model: from ground state properties to localization. Zbl 1273.82024
Klopp, Frédéric; Loss, Michael; Nakamura, Shu; Stolz, Günter
2012
Stability of matter in magnetic fields. Zbl 1253.81147
Loss, Michael
1999
Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions. Zbl 1456.60252
Carlen, Eric; Carvalho, Maria; Loss, Michael
2020
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions $$2$$ and $$3$$. Zbl 07409790
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2021
Inequalities involving Aharonov-Bohm magnetic potentials in dimensions $$2$$ and $$3$$. Zbl 07409790
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2021
Symmetry results in two-dimensional inequalities for Aharonov-Bohm magnetic fields. Zbl 1439.81049
Bonheure, Denis; Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2020
Spectral gaps for reversible Markov processes with chaotic invariant measures: the Kac process with hard sphere collisions in three dimensions. Zbl 1456.60252
Carlen, Eric; Carvalho, Maria; Loss, Michael
2020
Magnetic rings. Zbl 1390.81142
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2018
Entropy decay for the Kac evolution. Zbl 1405.35126
Bonetto, Federico; Geisinger, Alissa; Loss, Michael; Ried, Tobias
2018
Interpolation inequalities and spectral estimates for magnetic operators. Zbl 1388.81104
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2018
Symmetry and symmetry breaking: rigidity and flows in elliptic PDES. Zbl 1453.35066
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2018
Persistence of translational symmetry in the BCS model with radial pair interaction. Zbl 1393.82028
Deuchert, Andreas; Geisinger, Alissa; Hainzl, Christian; Loss, Michael
2018
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities. (Symétrie des fonctions extrémales pour des inégalités de Caffarelli-Kohn-Nirenberg sous-critiques.) Zbl 1379.49009
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Muratori, Matteo
2017
Uniform approximation of a Maxwellian thermostat by finite reservoirs. Zbl 1371.82064
Bonetto, F.; Loss, M.; Tossounian, H.; Vaidyanathan, R.
2017
Interpolation inequalities on the sphere: linear vs. nonlinear flows. Zbl 1372.58017
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2017
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces. Zbl 1379.49021
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2016
One-dimensional interpolation inequalities, Carlson-Landau inequalities, and magnetic Schrödinger operators. Zbl 1336.35016
Ilyin, Alexei; Laptev, Ari; Loss, Michael; Zelik, Sergey
2016
Monotonicity of the period of a nonlinear oscillator. Zbl 1366.34055
Benguria, Rafael D.; Cristina Depassier, M.; Loss, Michael
2016
On a quantum entropy power inequality of Audenaert, Datta, and Ozols. Zbl 1341.81015
Carlen, Eric A.; Lieb, Elliott H.; Loss, Michael
2016
Interpolation inequalities, nonlinear flows, boundary terms, optimality and linearization. Zbl 1386.35174
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2016
Keller-Lieb-Thirring inequalities for Schrödinger operators on cylinders. (Inégalités de Keller-Lieb-Thirring pour des opérateurs de Schrödinger sur des cylindres.) Zbl 1323.35035
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2015
One-dimensional Gagliardo-Nirenberg-Sobolev inequalities: remarks on duality and flows. Zbl 1320.26017
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2014
Nonlinear flows and rigidity results on compact manifolds. Zbl 1294.58005
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2014
The Kac model coupled to a thermostat. Zbl 1302.35290
Bonetto, Federico; Loss, Michael; Vaidyanathan, Ranjini
2014
Improved interpolation inequalities on the sphere. Zbl 1290.26022
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michał; Loss, Michael
2014
Spectral gap for the Kac model with hard sphere collisions. Zbl 1290.60100
Carlen, Eric A.; Carvalho, Maria C.; Loss, Michael
2014
Sharp interpolation inequalities on the sphere: new methods and consequences. Zbl 1263.26029
Dolbeault, Jean; Esteban, Maria J.; Kowalczyk, Michal; Loss, Michael
2013
Spectral properties of Schrödinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates. Zbl 1276.58007
Dolbeault, Jean; Esteban, Maria J.; Laptev, Ari; Loss, Michael
2013
Entropic chaoticity for the steady state of a current carrying system. Zbl 1291.37045
Bonetto, F.; Loss, M.
2013
Hardy-Sobolev-Maz’ya inequalities for arbitrary domains. Zbl 1233.49023
Frank, Rupert L.; Loss, Michael
2012
Localization for the random displacement model. Zbl 1285.82030
Klopp, Frédéric; Loss, Michael; Nakamura, Shu; Stolz, Günter
2012
Symmetry of extremals of functional inequalities via spectral estimates for linear operators. Zbl 1301.26019
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2012
Sharp trace inequalities for fractional Laplacians. Zbl 1276.35011
Einav, Amit; Loss, Michael
2012
Rigorous results for the minimal speed of Kolmogorov-Petrovskii-Piscounov monotonic fronts with a cutoff. Zbl 1282.35117
Benguria, Rafael D.; Depassier, M. Cristina; Loss, Michael
2012
Understanding the random displacement model: from ground state properties to localization. Zbl 1273.82024
Klopp, Frédéric; Loss, Michael; Nakamura, Shu; Stolz, Günter
2012
On the Markov sequence problem for Jacobi polynomials. Zbl 1228.31002
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
2011
Kinetic theory and the Kac master equation. Zbl 1244.82069
Carlen, Eric; Carvalho, Maria C.; Loss, Michael
2011
Entropy and chaos in the Kac model. Zbl 1186.76675
Carlen, Eric A.; Carvalho, Maria C.; Le Roux, Jonathan; Loss, Michael; Villani, Cédric
2010
Hardy inequalities for fractional integrals on general domains. Zbl 1194.26011
Loss, Michael; Sloane, Craig
2010
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows. Zbl 1256.42028
Carlen, Eric A.; Carrillo, José A.; Loss, Michael
2010
On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities. Zbl 1182.26031
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Tarantello, Gabriella
2009
Pólya’s conjecture in the presence of a constant magnetic field. Zbl 1179.35205
Frank, Rupert L.; Loss, Michael; Weidl, Timo
2009
Low energy properties of the random displacement model. Zbl 1167.82014
Baker, Jeff; Loss, Michael; Stolz, Günter
2009
Kramers degeneracy theorem in nonrelativistic QED. Zbl 1183.47078
Loss, Michael; Miyao, Tadahiro; Spohn, Herbert
2009
The sharp constant in the Hardy-Sobolev-Maz’ya inequality in the three-dimensional upper half space. Zbl 1173.26011
Benguria, Rafael D.; Frank, Rupert L.; Loss, Michael
2008
Lieb-Thirring inequalities with improved constants. Zbl 1152.35451
Dolbeault, Jean; Laptev, Ari; Loss, Michael
2008
Minimizing the ground state energy of an electron in a randomly deformed lattice. Zbl 1157.81009
Baker, Jeff; Loss, Michael; Stolz, Günter
2008
Determination of the spectral gap in the Kac model for physical momentum and energy-conserving collisions. Zbl 1163.82007
Carlen, Eric A.; Geronimo, Jeffrey S.; Loss, Michael
2008
Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model. Zbl 1153.81320
Benguria, Rafael D.; Loss, Michael; Siedentop, Heinz
2008
Self-adjointness via partial Hardy-like inequalities. Zbl 1156.81369
Esteban, Maria J.; Loss, Michael
2008
Characterization of the critical magnetic field in the Dirac-Coulomb equation. Zbl 1139.81034
Dolbeault, Jean; Esteban, Maria Jesus; Loss, Michael
2008
Self-adjointness for Dirac operators via Hardy-Dirac inequalities. Zbl 1152.81423
Esteban, Maria J.; Loss, M.
2007
Lowest energy states in nonrelativistic QED: atoms and ions in motion. Zbl 1118.81080
Loss, Michael; Miyao, Tadahiro; Spohn, Herbert
2007
Relativistic hydrogenic atoms in strong magnetic fields. Zbl 1130.81033
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael
2007
Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems. Zbl 1104.35021
Dolbeault, J.; Felmer, P.; Loss, M.; Paturel, E.
2006
An inequality of Hadamard type for permanents. Zbl 1116.15015
Carlen, Eric; Lieb, Elliott H.; Loss, Michael
2006
Inequalities for means of chords, with application to isoperimetric problems. Zbl 1111.35019
Exner, Pavel; Harrell, Evans M.; Loss, Michael
2006
The thermodynamic limit for matter interacting with Coulomb forces and with the quantized electromagnetic field. I: The lower bound. Zbl 1115.81064
Lieb, Elliott H.; Loss, Michael
2005
A sharp analog of Young’s inequality on $$S^N$$ and related entropy inequalities. Zbl 1056.43002
Carlen, E. A.; Lieb, E. H.; Loss, M.
2004
An analytical proof of Hardy-like inequalities related to the Dirac operator. Zbl 1060.35120
Dolbeault, Jean; Esteban, Maria J.; Loss, Michael; Vega, Luis
2004
Connection between the Lieb-Thirring conjecture for Schrödinger operators and an isoperimetric problem for ovals on the plane. Zbl 1087.81042
Benguria, Rafael D.; Loss, Michael
2004
A note on polarization vectors in quantum electrodynamics. Zbl 1102.81070
Lieb, Elliott H.; Loss, Michael
2004
Logarithmic Sobolev inequalities and spectral gaps. Zbl 1149.46027
Carlen, Eric; Loss, Michael
2004
Determination of the spectral gap for Kac’s master equation and related stochastic evolution. Zbl 1080.60091
Carlen, E. A.; Carvalho, M. C.; Loss, M.
2003
Existence of atoms and molecules in non-relativistic quantum electrodynamics. Zbl 1058.81080
Lieb, Elliott H.; Loss, Michael
2003
A bound on binding energies and mass renormalization in models of quantum electrodynamics. Zbl 1027.81040
Lieb, Elliott H.; Loss, Michael
2002
Stability of a model of relativistic quantum electrodynamics. Zbl 1005.81091
Lieb, Elliott H.; Loss, Michael
2002
Analysis. 2nd ed. Zbl 0966.26002
Lieb, Elliott H.; Loss, Michael
2001
Ground states in non-relativistic quantum electrodynamics. Zbl 1044.81133
Griesemer, Marcel; Lieb, Elliott H.; Loss, Michael
2001
Many-body aspects of approach to equilibrium. Zbl 1255.82047
Carlen, E.; Carvalho, M. C.; Loss, M.
2001
A simple proof of a theorem of Laptev and Weidl. Zbl 0963.34077
Benguria, Rafael; Loss, Michael
2000
Many-body aspects of approach to equilibrium. Zbl 1213.81230
Carlen, Eric; Carvalho, M. C.; Loss, Michael
2000
Diamagnetic behavior of sums of Dirichlet eigenvalues. Zbl 0957.35104
Erdős, László; Loss, Michael; Vougalter, Vitali
2000
Self-energy of electrons in non-perturbative QED. Zbl 1035.81066
Lieb, Elliott H.; Loss, Michael
2000
Self-energy of electrons in non-perturbative QED. Zbl 1056.81581
Lieb, Elliott H.; Loss, Michael
2000
Optimal eigenvalues for some Laplacians and Schrödinger operators depending on curvature. Zbl 0971.58018
Exner, Pavel; Harrell, Evans M.; Loss, Michael
1999
Stability of matter in magnetic fields. Zbl 1253.81147
Loss, Michael
1999
On the Laplace operator penalized by mean curvature. Zbl 0928.35028
Harrell, Evans M. II; Loos, Michael
1998
Analysis. Transl. from the English by T. N. Rozhkovskaya. Transl. ed. by Yu. G. Reshetnyak. (Analiz.) Zbl 0918.26002
Lieb, Elliott H.; Loss, Michael
1998
Advances in differential equations and mathematical physics. 1997 Georgia Tech-UAB international conference, Atlanta, GA, USA, March 23–29, 1997. Zbl 0884.00038
1998
Optimal heat kernel estimates for Schrödinger operators with magnetic fields in two dimensions. Zbl 0873.35078
Loss, Michael; Thaller, Bernd
1997
Some conjectures about $$L^{p}$$ norms of $$k$$-plane transforms. Zbl 1016.44002
Baernstein, Albert II; Loss, Michael
1997
Analysis. Zbl 0873.26002
Lieb, Elliott H.; Loss, Michael
1996
Stability of relativistic matter via Thomas-Fermi theory. Zbl 0866.47050
Lieb, Elliott H.; Loss, Michael; Siedentop, Heinz
1996
Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation. Zbl 0859.35011
Carlen, Eric A.; Loss, Michael
1995
Stability of matter in magnetic fields. Zbl 1020.81957
Lieb, Elliott H.; Loss, Michael; Solovej, Jan Philip
1995
Symmetry of the Ginzburg-Landau minimizer in a disc. Zbl 0842.49014
Lieb, Elliott H.; Loss, Michael
1994
On the minimization of symmetric functionals. Zbl 0871.47047
Carlen, Eric A.; Loss, Michael
1994
Sharp constant in Nash’s inequality. Zbl 0822.35018
Carlen, Eric A.; Loss, Michael
1993
Fluxes, Laplacians, and Kasteleyn’s theorem. Zbl 0787.05083
Lieb, Elliott H.; Loss, Michael
1993
Uniform density theorem for the Hubbard model. Zbl 0773.60091
Lieb, Elliott H.; Loss, Michael; McCann, Robert J.
1993
Competing symmetries, the logarithmic HLS inequality and Onofri’s inequality on $$S^ n$$. Zbl 0754.47041
Carlen, E.; Loss, M.
1992
Extremals of functionals with competing symmetries. Zbl 0705.46016
Carlen, Eric A.; Loss, Michael
1990
Boundedness of dispersive difference schemes. Zbl 0729.65065
Estep, Donald; Loss, Michael; Rauch, Jeffrey
1990
Short-range scattering in long-range magnetic fields: The relativistic case. Zbl 0664.34035
Loss, Michael; Thaller, Bernd
1988
Scattering of particles by long-range magnetic fields. Zbl 0646.35074
Loss, Michael; Thaller, Bernd
1987
The Skyrme model on Riemannian manifolds. Zbl 0643.58035
Loss, Michael
1987
Stability of Coulomb systems with magnetic fields. I: The one-electron atom. Zbl 0595.35098
Fröhlich, Jürg; Lieb, Elliott H.; Loss, Michael
1986
Stability of Coulomb systems with magnetic fields. III. Zero energy bound states of the Pauli operator. Zbl 0607.35083
Loss, Michael; Yau, Horng-Tzer
1986
Non-stochasticity of time-dependent quadratic Hamiltonians and the spectra of canonical transformations. Zbl 0601.70013
Hagedorn, George A.; Loss, Michael; Slawny, Joseph
1986
Stability of Coulomb systems with magnetic fields. II. The many-electron atom and the one-electron molecule. Zbl 0607.35082
Lieb, Elliott H.; Loss, Michael
1986
all top 5

### Cited by 1,984 Authors

 53 Loss, Michael 51 Dolbeault, Jean 39 Frank, Rupert L. 34 Lieb, Elliott Hershel 29 Esteban, Maria J. 25 Solovej, Jan Philip 23 Fröhlich, Jürg Martin 22 Carlen, Eric Anders 22 Laptev, Ari 20 Lu, Guozhen 19 Seiringer, Robert 18 Faupin, Jérémy 18 Lewin, Mathieu 17 Hiroshima, Fumio 17 Van Schaftingen, Jean 15 Carrillo de la Plata, José Antonio 15 Phan Thành Nam 15 Sigal, Israel Michael 15 Xiao, Jie 12 Erdős, László 12 Lam, Nguyen 11 Guo, Yujin 11 Hasler, David G. 11 Ilyin, Alexei A. 11 Miyao, Tadahiro 10 Benguria, Rafael D. 10 Exner, Pavel 10 Nguyễn Văn Hoàng 10 Veselić, Ivan 9 Amour, Laurent 9 Fournais, Søren 9 Kiessling, Michael Karl-Heinz 9 Liu, Jianguo 9 Spohn, Herbert 9 Tertikas, Achilles 8 Bach, Volker 8 Barbaroux, Jean-Marie 8 Bez, Neal 8 Bonheure, Denis 8 Burchard, Almut 8 Fanelli, Luca 8 Filippas, Stathis 8 Griesemer, Marcel 8 Guillot, Jean-Claude 8 Lotoreichik, Vladimir 8 Mischler, Stéphane 8 Moroz, Vitaly 8 Nazarov, Alexander I. 8 Siedentop, Heinz Karl Heinrich 8 Tang, Xianhua 8 Vega, Luis 8 Vugal’ter, Semën Abramovich 8 Zeng, Xiaoyu 7 Bennett, Jonathan M. 7 Borisov, Denis Ivanovich 7 Caputo, Pietro 7 Chen, Li 7 Chen, Sitong 7 Gallay, Thierry 7 Gesztesy, Fritz 7 Kovařík, Hynek 7 Matte, Oliver 7 Noja, Diego 7 Portmann, Fabian 7 Squassina, Marco 6 Bonetto, Federico 6 Calvez, Vincent 6 Chen, Lu 6 Chen, Thomas M. 6 Cordero-Erausquin, Dario 6 Hainzl, Christian 6 Harrell, Evans M. II 6 Herbst, Ira W. 6 Lenzmann, Enno 6 Muratori, Matteo 6 Pizzo, Alessandro 6 Séré, Eric 6 Stockmeyer, Edgardo 6 Takeda, Masayoshi 6 Tamura, Hideo 6 Tao, Chunxia 6 Wang, Jinhuan 6 Wei, Juncheng 5 Atzberger, Paul J. 5 Brasco, Lorenzo 5 Choi, Woocheol 5 Deckert, Dirk-André 5 Einav, Amit 5 Ferreira, Lucas Catão de Freitas 5 Hajaiej, Hichem 5 Hidaka, Takeru 5 Hundertmark, Dirk 5 Jeanjean, Louis 5 Lebowitz, Joel Louis 5 Lemou, Mohammed 5 Li, Guidong 5 Lin, Taichia 5 Maekawa, Yasunori 5 Maz’ya, Vladimir Gilelevich 5 Méhats, Florian ...and 1,884 more Authors
all top 5

### Cited in 284 Serials

 126 Journal of Mathematical Physics 111 Journal of Functional Analysis 100 Communications in Mathematical Physics 96 Journal of Differential Equations 76 Journal of Mathematical Analysis and Applications 54 Calculus of Variations and Partial Differential Equations 50 Journal of Statistical Physics 44 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 42 Annales Henri Poincaré 40 Advances in Mathematics 35 The Journal of Geometric Analysis 34 Proceedings of the American Mathematical Society 28 Letters in Mathematical Physics 26 Transactions of the American Mathematical Society 25 Reviews in Mathematical Physics 24 Archive for Rational Mechanics and Analysis 23 Journal de Mathématiques Pures et Appliquées. Neuvième Série 22 Communications in Partial Differential Equations 18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 17 Communications on Pure and Applied Analysis 16 SIAM Journal on Mathematical Analysis 16 Discrete and Continuous Dynamical Systems 16 Journal of the European Mathematical Society (JEMS) 16 Communications in Contemporary Mathematics 14 Mathematische Annalen 13 Advanced Nonlinear Studies 12 The Annals of Probability 12 Potential Analysis 12 Kinetic and Related Models 12 Bulletin of Mathematical Sciences 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Duke Mathematical Journal 10 Journal d’Analyse Mathématique 10 Inventiones Mathematicae 10 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 10 Journal of Mathematical Sciences (New York) 10 Advances in Nonlinear Analysis 9 Journal of Computational Physics 9 Annales de l’Institut Henri Poincaré. Physique Théorique 8 Nonlinearity 8 Acta Applicandae Mathematicae 8 Geometric and Functional Analysis. GAFA 8 Journal of Nonlinear Science 8 St. Petersburg Mathematical Journal 7 Annales de l’Institut Fourier 7 Physica D 7 Probability Theory and Related Fields 7 Revista Matemática Iberoamericana 7 The Annals of Applied Probability 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Communications on Pure and Applied Mathematics 6 Israel Journal of Mathematics 6 Reports on Mathematical Physics 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Mathematical Physics, Analysis and Geometry 6 Milan Journal of Mathematics 6 Boundary Value Problems 6 Science China. Mathematics 6 Journal of Spectral Theory 5 Mathematical Notes 5 Journal of the American Mathematical Society 5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 5 Stochastic Processes and their Applications 5 NoDEA. Nonlinear Differential Equations and Applications 5 Bulletin des Sciences Mathématiques 5 Infinite Dimensional Analysis, Quantum Probability and Related Topics 5 Revista Matemática Complutense 5 Acta Mathematica Sinica. English Series 5 Analysis and Applications (Singapore) 5 Advances in Mathematical Physics 5 Séminaire Laurent Schwartz. EDP et Applications 4 Rocky Mountain Journal of Mathematics 4 Mathematics of Computation 4 Functional Analysis and its Applications 4 Mathematische Zeitschrift 4 Monatshefte für Mathematik 4 Linear Algebra and its Applications 4 Electronic Journal of Differential Equations (EJDE) 4 Bernoulli 4 Nonlinear Analysis. Real World Applications 4 Acta Mathematica Scientia. Series B. (English Edition) 4 Mediterranean Journal of Mathematics 4 Journal of Elliptic and Parabolic Equations 3 Applied Mathematics and Optimization 3 Journal of the London Mathematical Society. Second Series 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Quarterly of Applied Mathematics 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Numerical Analysis 3 Chinese Annals of Mathematics. Series B 3 Sugaku Expositions 3 Proceedings of the National Academy of Sciences of the United States of America 3 Bulletin of the American Mathematical Society. New Series 3 Topological Methods in Nonlinear Analysis 3 Electronic Journal of Probability ...and 184 more Serials
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### Cited in 55 Fields

 1,049 Partial differential equations (35-XX) 469 Quantum theory (81-XX) 235 Functional analysis (46-XX) 232 Real functions (26-XX) 226 Operator theory (47-XX) 225 Statistical mechanics, structure of matter (82-XX) 165 Probability theory and stochastic processes (60-XX) 125 Calculus of variations and optimal control; optimization (49-XX) 113 Global analysis, analysis on manifolds (58-XX) 101 Fluid mechanics (76-XX) 78 Differential geometry (53-XX) 74 Harmonic analysis on Euclidean spaces (42-XX) 51 Ordinary differential equations (34-XX) 51 Biology and other natural sciences (92-XX) 44 Numerical analysis (65-XX) 38 Optics, electromagnetic theory (78-XX) 35 Difference and functional equations (39-XX) 34 Potential theory (31-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Integral equations (45-XX) 31 Convex and discrete geometry (52-XX) 28 Information and communication theory, circuits (94-XX) 23 Relativity and gravitational theory (83-XX) 21 Mechanics of particles and systems (70-XX) 20 Combinatorics (05-XX) 19 Astronomy and astrophysics (85-XX) 18 Measure and integration (28-XX) 18 Mechanics of deformable solids (74-XX) 17 Integral transforms, operational calculus (44-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Abstract harmonic analysis (43-XX) 16 Statistics (62-XX) 13 Special functions (33-XX) 11 Functions of a complex variable (30-XX) 9 Approximations and expansions (41-XX) 9 Computer science (68-XX) 9 Operations research, mathematical programming (90-XX) 7 Number theory (11-XX) 7 Manifolds and cell complexes (57-XX) 7 Systems theory; control (93-XX) 6 Geometry (51-XX) 5 Algebraic geometry (14-XX) 5 Topological groups, Lie groups (22-XX) 5 Geophysics (86-XX) 5 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 4 Several complex variables and analytic spaces (32-XX) 4 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX)

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