What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Quantum field theory
Michael Aizenman mainly investigates Mathematical analysis, Mathematical physics, Phase transition, Ising model and Exponential decay.
The concepts of his Mathematical analysis study are interwoven with issues in Level repulsion and Percolation.
He has researched Mathematical physics in several fields, including Matrix and Invariant.
His research investigates the connection with Phase transition and areas like Statistical physics which intersect with concerns in Continuous symmetry, Randomness, Gibbs state and Cellular automaton.
His biological study spans a wide range of topics, including Quantum electrodynamics and Mean field theory.
His Exponential decay research includes elements of Spectrum, Anderson localization and Density of states.
His most cited work include:
- Localization at large disorder and at extreme energies: an elementary derivation (571 citations)
- Brownian motion and harnack inequality for Schrödinger operators (432 citations)
- Geometric analysis of φ4 fields and Ising models. Parts I and II (360 citations)
What are the main themes of his work throughout his whole career to date?
Michael Aizenman mainly focuses on Statistical physics, Quantum mechanics, Mathematical physics, Mathematical analysis and Ising model.
His Statistical physics study integrates concerns from other disciplines, such as Stochastic process, Randomness, Scaling limit and Universality.
His Mathematical physics research integrates issues from Lambda and Gibbs state.
The study incorporates disciplines such as Exponential decay, Density of states and Eigenfunction in addition to Mathematical analysis.
His research in Ising model intersects with topics in Phase transition, Mean field theory, Percolation and Percolation critical exponents.
He works mostly in the field of Percolation, limiting it down to concerns involving Directed percolation and, occasionally, Quantum.
He most often published in these fields:
- Statistical physics (20.83%)
- Quantum mechanics (20.24%)
- Mathematical physics (17.86%)
What were the highlights of his more recent work (between 2009-2020)?
- Statistical physics (20.83%)
- Quantum mechanics (20.24%)
- Anderson localization (8.33%)
In recent papers he was focusing on the following fields of study:
His primary scientific interests are in Statistical physics, Quantum mechanics, Anderson localization, Mathematical physics and Quantum.
His Statistical physics research is multidisciplinary, incorporating perspectives in Spectral line, Stationary ergodic process, Operator theory and Ergodicity.
His studies in Mathematical physics integrate themes in fields like Lambda, Density of states and Eigenfunction.
His Eigenfunction study combines topics from a wide range of disciplines, such as Relation, Mathematical analysis and Exponential decay.
His Quantum study integrates concerns from other disciplines, such as Absolute continuity and Randomness.
As a member of one scientific family, Michael Aizenman mostly works in the field of Continuous symmetry, focusing on Lattice and, on occasion, Phase transition, Measurement theory and Scaling.
Between 2009 and 2020, his most popular works were:
- Resonant delocalization for random Schrödinger operators on tree graphs (67 citations)
- Random Operators: Disorder Effects on Quantum Spectra and Dynamics (65 citations)
- Resonant delocalization for random Schr"odinger operators on tree graphs (62 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Quantum field theory
Statistical physics, Quantum, Particle system, Anderson localization and Quantum mechanics are his primary areas of study.
His Statistical physics research includes themes of Spectral line, Randomness, Ballistic conduction and Graph theory.
The various areas that Michael Aizenman examines in his Quantum study include Continuous symmetry and Phase transition.
His Anderson localization research is multidisciplinary, relying on both Mathematical analysis, Random potential, Exponential decay, Quantum Hall effect and Point process.
His Quantum mechanics research focuses on Gibbs measure and Schrödinger's cat.
His Bounded function research focuses on subjects like Adjacency list, which are linked to Absolute continuity, Lambda and Mathematical physics.
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