What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Artificial intelligence
- Statistics
His primary areas of investigation include Mathematical analysis, Applied mathematics, Nonlinear system, Differential inclusion and Viability theory.
Jean-Pierre Aubin has included themes like Convex analysis and Discontinuous Galerkin method in his Mathematical analysis study.
His Applied mathematics research is multidisciplinary, incorporating perspectives in Calculus of variations, Lipschitz continuity and Initial value problem.
His Nonlinear system research includes themes of Mathematical optimization, Contingent derivatives and Quasivariational inequality.
His studies deal with areas such as Lyapunov stability, Hybrid system, Control theory, Invariant and Impulse as well as Differential inclusion.
His Viability theory study integrates concerns from other disciplines, such as Inflation, Inequality and Biochemical engineering.
His most cited work include:
- Applied Nonlinear Analysis (1917 citations)
- Viability theory (1243 citations)
- Differential Inclusions: Set-Valued Maps and Viability Theory (826 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Differential inclusion, Mathematical analysis, Applied mathematics, Mathematical optimization and Mathematical economics.
His Differential inclusion study combines topics from a wide range of disciplines, such as Control system, Control theory, Pure mathematics, State and Impulse.
His study in Discrete mathematics extends to Pure mathematics with its themes.
His study in Boundary value problem, Stochastic partial differential equation, Differential equation and Stochastic differential equation are all subfields of Mathematical analysis.
His Applied mathematics study frequently draws connections to other fields, such as Nonlinear system.
His Mathematical optimization research is mostly focused on the topic Viability theory.
He most often published in these fields:
- Differential inclusion (25.00%)
- Mathematical analysis (17.16%)
- Applied mathematics (14.93%)
What were the highlights of his more recent work (between 2008-2019)?
- Differential inclusion (25.00%)
- Applied mathematics (14.93%)
- Viability theory (11.19%)
In recent papers he was focusing on the following fields of study:
Differential inclusion, Applied mathematics, Viability theory, Mathematical analysis and Portfolio are his primary areas of study.
His Differential inclusion study also includes fields such as
- Pure mathematics and related Hamiltonian,
- Calculus which is related to area like Tensor product and Tensor.
His research integrates issues of Cournot competition, Series and Optimal control in his study of Applied mathematics.
As part of his studies on Viability theory, Jean-Pierre Aubin often connects relevant subjects like Financial market.
His Mathematical analysis study is mostly concerned with Partial derivative and Hilbert space.
In his study, which falls under the umbrella issue of Portfolio, Asset and Portfolio insurance is strongly linked to Actuarial science.
Between 2008 and 2019, his most popular works were:
- Viability Theory : New Directions (179 citations)
- Viabilist and tychastic approaches to guaranteed ALM problem (12 citations)
- Viability Solutions to Structured Hamilton-Jacobi Equations under Constraints (12 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Artificial intelligence
- Statistics
Jean-Pierre Aubin mainly focuses on Differential inclusion, Viability theory, Hamilton–Jacobi equation, Applied mathematics and Actuarial science.
The Differential inclusion study combines topics in areas such as Mathematical theory, Theoretical computer science, Pure mathematics, Function and Calculus.
The study incorporates disciplines such as Financial market, Robotics and Management science in addition to Viability theory.
His study with Hamilton–Jacobi equation involves better knowledge in Mathematical analysis.
His work deals with themes such as Parametrization and Boundary value problem, which intersect with Applied mathematics.
His study in Partial differential equation is interdisciplinary in nature, drawing from both Valuation function, Variational principle and Mathematical optimization.
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