What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
Michael Loss mainly investigates Mathematical analysis, Inequality, Quantum mechanics, Magnetic field and Pure mathematics.
His research combines Mathematical proof and Mathematical analysis.
His Inequality research integrates issues from Matrix, Sobolev inequality, Schrödinger's cat, Mathematical optimization and Entropy.
Michael Loss frequently studies issues relating to Quadratic equation and Quantum mechanics.
His Magnetic field study also includes
- Coulomb which intersects with area such as Atom, Condensed matter physics and Operator,
- Electron that intertwine with fields like Quantum electrodynamics, Schrödinger equation, Dirac operator, Arbitrarily large and Negative energy.
His Pure mathematics study combines topics in areas such as Duality, Type inequality, Half-space, Fourier analysis and Monotonic function.
His most cited work include:
- Analysis, Second edition (1149 citations)
- Ground states in non-relativistic quantum electrodynamics (268 citations)
- Competing symmetries, the logarithmic HLS inequality and Onofri's inequality on sn (171 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Quantum mechanics, Pure mathematics, Eigenvalues and eigenvectors and Mathematical physics.
His Mathematical analysis research incorporates elements of Conjecture and Nonlinear system.
In his research on the topic of Quantum mechanics, Dirac operator, Cutoff and Landau quantization is strongly related with Quantum electrodynamics.
Michael Loss combines subjects such as Simple and Inequality with his study of Pure mathematics.
The various areas that he examines in his Eigenvalues and eigenvectors study include Operator and Laplace operator.
His study in Mathematical physics is interdisciplinary in nature, drawing from both Master equation and Quantum.
He most often published in these fields:
- Mathematical analysis (37.70%)
- Quantum mechanics (18.32%)
- Pure mathematics (17.28%)
What were the highlights of his more recent work (between 2013-2021)?
- Mathematical analysis (37.70%)
- Mathematical physics (12.57%)
- Symmetry breaking (7.33%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Mathematical analysis, Mathematical physics, Symmetry breaking, Nonlinear system and Master equation.
His study in Sobolev inequality and Interpolation inequality falls within the category of Mathematical analysis.
His studies deal with areas such as Instability, Symmetry in biology, Entropy, Eigenvalues and eigenvectors and Magnetic field as well as Symmetry breaking.
His Eigenvalues and eigenvectors study incorporates themes from Upper and lower bounds, Numerical analysis and Interpolation.
His study on Nonlinear system also encompasses disciplines like
- Rigidity, which have a strong connection to Theoretical physics and Schrödinger's cat,
- Differential equation that connect with fields like Phase transition and Bifurcation,
- Monotonic function which is related to area like Function, Simple, Pure mathematics, Duality and Flow.
His Schrödinger's cat study combines topics from a wide range of disciplines, such as Periodic function and Ground state.
Between 2013 and 2021, his most popular works were:
- Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces (41 citations)
- One-dimensional Gagliardo–Nirenberg–Sobolev inequalities: remarks on duality and flows (38 citations)
- The Kac Model Coupled to a Thermostat (20 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
Michael Loss mainly investigates Mathematical analysis, Interpolation, Pure mathematics, Nonlinear system and Master equation.
His study in Interpolation inequality, Unit circle and Laplace operator are all subfields of Mathematical analysis.
His work carried out in the field of Interpolation brings together such families of science as Inequality, Schrödinger's cat and Applied mathematics.
The Pure mathematics study combines topics in areas such as Log sum inequality, Monotonic function and Duality.
His work deals with themes such as Exponential decay and Thermal equilibrium, which intersect with Master equation.
His work on Sobolev inequality as part of general Sobolev space research is often related to Ricci curvature, thus linking different fields of science.
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