What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Statistics
His scientific interests lie mostly in Mathematical analysis, Optics, Inverse problem, Boundary and Scattering.
His biological study spans a wide range of topics, including Phase space and Self-averaging.
His research in Optics intersects with topics in Computational physics and Work.
His study in Inverse problem is interdisciplinary in nature, drawing from both Geometrical optics, Tomography and Diffusion equation.
His Boundary research is multidisciplinary, incorporating elements of Uniqueness and Medical imaging.
Guillaume Bal interconnects Inversion, Inverse, Stability, Heavy traffic approximation and Beat in the investigation of issues within Scattering.
His most cited work include:
- Inverse transport theory and applications (141 citations)
- Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer (130 citations)
- Inverse diffusion theory of photoacoustics (105 citations)
What are the main themes of his work throughout his whole career to date?
Mathematical analysis, Inverse problem, Scattering, Optics and Homogenization are his primary areas of study.
His Mathematical analysis research includes elements of Boundary and Inverse.
His Inverse research focuses on Stability and how it relates to Uniqueness.
His Scattering research is multidisciplinary, incorporating perspectives in Computational physics and Photon.
His research investigates the connection between Optics and topics such as Diffusion equation that intersect with problems in Convection–diffusion equation.
His study looks at the relationship between Statistical physics and topics such as Radiative transfer, which overlap with Monte Carlo method.
He most often published in these fields:
- Mathematical analysis (49.63%)
- Inverse problem (13.43%)
- Scattering (12.69%)
What were the highlights of his more recent work (between 2013-2021)?
- Mathematical analysis (49.63%)
- Tomography (9.70%)
- Homogenization (11.57%)
In recent papers he was focusing on the following fields of study:
Guillaume Bal spends much of his time researching Mathematical analysis, Tomography, Homogenization, Inverse problem and Boundary value problem.
The Mathematical analysis study combines topics in areas such as Nonlinear system, Weak convergence and Tensor.
His research on Tomography also deals with topics like
- Ultrasound which is related to area like Optics, Ultrasonic sensor, Optical measurements and Medical imaging,
- Photo acoustic which is related to area like Light source.
The various areas that Guillaume Bal examines in his Inverse problem study include Linearization and Elastography.
In his research, Current density imaging, Nabla symbol, Elliptic curve, Domain and Scalar is intimately related to Bounded function, which falls under the overarching field of Boundary value problem.
His biological study deals with issues like Kernel, which deal with fields such as Boundary and Inverse.
Between 2013 and 2021, his most popular works were:
- Inverse anisotropic conductivity from internal current densities (31 citations)
- Continuous bulk and interface description of topological insulators (27 citations)
- Reconstruction of a Fully Anisotropic Elasticity Tensor from Knowledge of Displacement Fields (23 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Statistics
His primary areas of study are Mathematical analysis, Inverse problem, Tomography, Homogenization and Partial differential equation.
His research investigates the connection with Mathematical analysis and areas like Tensor which intersect with concerns in Anisotropy.
His research integrates issues of Helmholtz equation, Linearization, Refractive index, Scalar and Attenuation coefficient in his study of Inverse problem.
Tomography is a subfield of Optics that he explores.
His work on Diffusion as part of general Optics research is frequently linked to Hybrid data, thereby connecting diverse disciplines of science.
His Bounded function research is multidisciplinary, relying on both Nabla symbol, Elliptic curve and Scalar.
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