Michael Loss

Q: What Schools Are Affiliated With Michael Loss

Michael Loss is affiliated with the following schools: University of California, Berkeley, ETH Zurich, Georgia Tech

Michael Loss's AcademicInfluence.com Rankings

Michael Loss

Mathematics

#2992

World Rank

#4506

Historical Rank

#1137

USA Rank

Measure Theory

#2787

World Rank

#3325

Historical Rank

#804

USA Rank

mathematics Degrees

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Mathematics

Michael Loss's Degrees

PhD Mathematics University of California, Berkeley

Why Is Michael Loss Influential?

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According to Wikipedia, Michael Loss is a mathematician and mathematical physicist who works as a professor of mathematics at the Georgia Institute of Technology. Loss obtained his Ph.D. in 1982 from ETH Zurich, with a dissertation on the three-body problem jointly supervised by Walter Hunziker and Israel Michael Sigal.

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Michael Loss's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Analysis, Second edition (2001) (1317)
Ground states in non-relativistic quantum electrodynamics (2000) (233)
Stability of Matter (2005) (192)
Competing symmetries, the logarithmic HLS inequality and Onofri's inequality onsn (1992) (178)
Extremals of functionals with competing symmetries (1990) (151)
Stability of Coulomb systems with magnetic fields (1986) (148)
A sharp analog of Young’s inequality on SN and related entropy inequalities (2004) (142)
Stability of coulomb systems with magnetic fields (1986) (141)
Sharp constant in Nash's inequality (1993) (110)
Fluxes, Laplacians, and Kasteleyn’s theorem (1992) (99)
Determination of the spectral gap for Kac's master equation and related stochastic evolution (2001) (99)
Entropy and chaos in the Kac model (2008) (96)
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces (2015) (82)
Stability of coulomb systems with magnetic fields (1986) (82)
Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics (2003) (79)
Hardy inequalities for fractional integrals on general domains (2009) (76)
The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space (2007) (74)
Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the $2$-D Navier-Stokes equation (1995) (72)
Lieb-Thirring inequalities with improved constants (2007) (71)
Self-adjointness of Dirac operators via Hardy-Dirac inequalities (2007) (70)
Pólya's conjecture in the presence of a constant magnetic field (2007) (65)
Non-stochasticity of time-dependent quadratic Hamiltonians and the spectra of canonical transformations (1986) (64)
Hardy-Littlewood-Sobolev inequalities via fast diffusion flows (2010) (61)
Scattering of particles by long-range magnetic fields (1987) (57)
Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems (2005) (55)
Many-body aspects of approach to equilibrium (2000) (54)
A simple proof of a theorem of Laptev and Weidl (1999) (53)
One‐dimensional Gagliardo–Nirenberg–Sobolev inequalities: remarks on duality and flows (2013) (49)
Lowest energy states in nonrelativistic QED: atoms and ions in motion (2006) (48)
Localization for the random displacement model (2010) (46)
Hardy-Sobolev-Maz'ya inequalities for arbitrary domains (2011) (45)
Stability of a Model of Relativistic Quantum Electrodynamics (2001) (45)
Optimal Eigenvalues for Some Laplacians and Schrödinger Operators Depending on Curvature (1999) (43)
Symmetry of the Ginzburg Landau Minimizer in a Disc (1994) (42)
Minimizing the Ground State Energy of an Electron in a Randomly Deformed Lattice (2007) (42)
Nonlinear flows and rigidity results on compact manifolds (2013) (41)
A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics (2001) (40)
Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences (2012) (39)
An Inequality of Hadamard Type for Permanents (2005) (38)
Optimal heat kernel estimates for schrödinger operators with magnetic fields in two dimensions (1997) (37)
Determination of the Spectral Gap in the Kac Model for Physical Momentum and Energy-Conserving Collisions (2007) (36)
Diamagnetic behavior of sums Dirichlet eigenvalues (2000) (35)
Inequalities for Means of Chords, with Application to Isoperimetric Problems (2005) (33)
Symmetry of extremals of functional inequalities via spectral estimates for linear operators (2011) (29)
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities (2016) (29)
On the Laplace Operator Penalized by Mean Curvature (1998) (29)
Improved interpolation inequalities on the sphere (2013) (28)
A Note on Polarization Vectors in Quantum Electrodynamics (2004) (28)
Uniform density theorem for the Hubbard model (1993) (27)
Self-Energy of Electrons in Non-Perturbative QED (1999) (27)
Stability of Relativistic Matter via Thomas-Fermi Theory (1996) (26)
Relativistic Hydrogenic Atoms in Strong Magnetic Fields (2006) (24)
ON THE MINIMIZATION OF SYMMETRIC FUNCTIONALS (1994) (24)
Some conjectures aboutLp norms of k-plane transforms (1997) (21)
The Kac Model Coupled to a Thermostat (2013) (21)
The Skyrme Model on Riemannian manifolds (1987) (20)
Low energy properties of the random displacement model (2008) (20)
Self-adjointness via partial Hardy-like inequalities (2008) (19)
Connection between the Lieb--Thirring conjecture for Schroedinger operators and an isoperimetric problem for ovals on the plane (2004) (19)
Logarithmic Sobolev Inequalities and Spectral Gaps (2004) (18)
Stability of atoms and molecules in an ultrarelativistic Thomas-Fermi-Weizsäcker model (2007) (18)
Short-range scattering in long-range magnetic fields: The relativistic case (1988) (18)
Interpolation inequalities on the sphere: linear vs. nonlinear flows (2015) (18)
Kramers Degeneracy Theorem in Nonrelativistic QED (2008) (16)
Spectral properties of Schr\"odinger operators on compact manifolds: rigidity, flows, interpolation and spectral estimates (2013) (16)
Kinetic Theory and the Kac Master Equation (2011) (16)
The Thermodynamic Limit for Matter Interacting with Coulomb Forces and with the Quantized Electromagnetic Field: I. The Lower Bound (2004) (15)
Upper and lower bounds for the speed of pulled fronts with a cut-off (2008) (15)
One-Dimensional Interpolation Inequalities, Carlson–Landau Inequalities, and Magnetic Schrödinger Operators (2015) (14)
A new estimate on the indirect Coulomb Energy (2011) (12)
Interpolation Inequalities, Nonlinear Flows, Boundary Terms, Optimality and Linearization (2016) (12)
Grothendieck's FGA Explained (2013) (12)
Uniform Approximation of a Maxwellian Thermostat by Finite Reservoirs (2016) (11)
Inequalities : selecta of Elliott H. Lieb (2002) (11)
On the Markov sequence problem for Jacobi polynomials (2008) (11)
Sharp trace inequalities for fractional Laplacians (2011) (10)
Understanding the Random Displacement Model: From Ground State Properties to Localization (2011) (10)
SYMMETRY AND SYMMETRY BREAKING: RIGIDITY AND FLOWS IN ELLIPTIC PDES (2017) (10)
On a quantum entropy power inequality of Audenaert, Datta, and Ozols (2016) (10)
Magnetic rings (2018) (9)
Monotonicity of the period of a non linear oscillator (2015) (9)
BOUNDEDNESS OF DISPERSIVE DIFFERENCE SCHEMES (1990) (9)
Spectral gap for the Kac model with hard sphere collisions (2013) (8)
Entropy Decay for the Kac Evolution (2017) (8)
General pairing mechanisms in the BCS-theory of superconductivity (2016) (7)
Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction (2016) (7)
Validity of the Brunet-Derrida formula for the speed of pulled fronts with a cutoff (2007) (7)
Interpolation Inequalities and Spectral Estimates for Magnetic Operators (2017) (7)
Symmetry of the Ginzburg-Landau minimizer in a disc (1995) (6)
STABILITY FOR THE SOBOLEV INEQUALITY WITH EXPLICIT CONSTANTS (2022) (5)
Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields (2019) (5)
Mathematical Problems in Quantum Physics (2018) (5)
Characterization of the critical magnetic field in the Dirac–Coulomb equation (2007) (5)
Rigorous results for the minimal speed of Kolmogorov–Petrovskii–Piscounov monotonic fronts with a cutoffa) (2012) (5)
Which magnetic fields support a zero mode? (2020) (5)
On the Convolution Inequality f ≥ f ⋆ f (2020) (4)
Chaos, ergodicity, and equilibria in a quantum Kac model (2018) (4)
Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence (2022) (4)
Inequalities involving Aharonov–Bohm magnetic potentials in dimensions 2 and 3 (2019) (3)
Addendum to P. Exner, E.M. Harrell, M. Loss: Inequalities for means of chords, with application to isoperimetric problems, Lett. Math. Phys. 75 (2006), 225–233 (2006) (3)
Optimal Smoothing and Decay Estimates for Viscously Damped Conservation Laws, with Application to th (1994) (3)
Advances in Differential Equations and Mathematical Physics (1998) (3)
Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities (2016) (3)
On a Conjecture by Hundertmark and Simon (2022) (2)
Keller–Lieb–Thirring inequalities for Schrödinger operators on cylinders (2015) (2)
Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences (2013) (2)
Time reversal symmetries and properties of ground states in nonrelativistic QED (Applications of Renormalization Group Methods in Mathematical Sciences) (2010) (1)
Spectral gaps for reversible Markov processes with chaotic invariant measures: The Kac process with hard sphere collisions in three dimensions (2018) (1)
0 00 70 14 v 1 1 1 Ju l 2 00 0 Ground States in Non-relativistic Quantum Electrodynamics (2000) (1)
Scattering from Magnetic Fields (1987) (1)
Non-linear Schrödinger equation in a uniform magnetic field (2021) (1)
LiebThirring type inequalities and GagliardoNirenberg inequalities for systems (2006) (1)
Entropic chaoticity for the steady state of a current carrying system (2012) (1)
Existence of optimizers in a Sobolev inequality for vector fields (2021) (1)
Critical magnetic field for 2D magnetic Dirac–Coulomb operators and Hardy inequalities (2020) (1)
The Stability of Matter Interacting with Fields (1998) (1)
Self-adjointness via Hardy-like inequalities (2007) (1)
A ug 2 00 5 AN INEQUALITY OF HADAMARD TYPE FOR PERMANENTS (2008) (1)
Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction (2018) (0)
The Sobolev spaces ¹ and ^{12} (2001) (0)
FA ] 2 A ug 2 00 4 A Sharp analog of Young ’ s Inequality on S N and Related Entropy Inequalities (2018) (0)
Dynamics and variational problems (2010) (0)
The Fourier transform (2001) (0)
Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces (2016) (0)
More about Eigenvalues (2001) (0)
Calcul Des Variations. —Estimations d’énergie pour des applications de R3 à (2002) (0)
A sharp criterion for zero modes of the Dirac equation (2022) (0)
Introduction to the calculus of variations (2001) (0)
A REMARK ON AN INEQUALITY BY BIANCHI AND EGNELL (2022) (0)
Talenti’s comparison theorem revisited (2018) (0)
Interpolation Inequalities and Spectral Estimates for Magnetic Operators (2018) (0)
On the convolution inequality $f \geq f\star f$ (2020) (0)
Speed of KPP fronts with a cut-off: rigorous results (2008) (0)
Advances in differential equations and mathematical physics : 1997 Georgia Tech-UAB International Conference on Differential Equations and Mathematical Physics, March 23-29, 1997, Georgia Institute of Technology (1998) (0)
Measure and integration (2001) (0)
General pairing mechanisms in the BCS-theory of superconductivity (2017) (0)
Rigorous results for the speed of Kolmogorov-Petrovskii-Piscounov fronts with a cutoff (2010) (0)
Entropy decay for the Kac master equation (2018) (0)
Spectral properties of the Laplacian on the multislice (2022) (0)
The Classroom [Spring 2005] (2005) (0)
Universit ät Stuttgart Fachbereich Mathematik Pólya ’ s conjecture in the presence of a constant magnetic field (2007) (0)
A P ] 2 J ul 2 00 6 Relativistic hydrogenic atoms in strong magnetic fields (2008) (0)
A remark on a paper by Hundertmark and Simon (2020) (0)
Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields (2019) (0)
Potential theory and Coulomb energies (2001) (0)
Regularity of solutions of Poisson’s equation (2001) (0)
A Quantum Kac Model (2018) (0)
Entropy Decay for the Kac Evolution (2018) (0)

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What Schools Are Affiliated With Michael Loss?

Michael Loss is affiliated with the following schools:

Michael Loss's Academic­Influence.com Rankings