What is he best known for?
The fields of study he is best known for:
- Quantum mechanics
- Mathematical analysis
- Algebra
Alain Comtet mostly deals with Mathematical analysis, Probability distribution, Random walk, Brownian excursion and Random variable.
He has researched Mathematical analysis in several fields, including Dimension, Probability density function, Partition function and Brownian motion.
His Probability distribution research is multidisciplinary, incorporating elements of Particle, Local time, Randomness, Random media and Sample.
His Random walk research integrates issues from Thermodynamic limit, Variable, Constant, Uniform distribution and Series.
His study in Brownian excursion intersects with areas of studies such as Airy function, Distribution function, Boundary, Function and Distribution.
Alain Comtet interconnects Extreme value theory and Combinatorics in the investigation of issues within Distribution.
His most cited work include:
- Airy Distribution Function: From the Area Under a Brownian Excursion to the Maximal Height of Fluctuating Interfaces (169 citations)
- Airy Distribution Function: From the Area Under a Brownian Excursion to the Maximal Height of Fluctuating Interfaces (169 citations)
- Exact maximal height distribution of fluctuating interfaces (143 citations)
What are the main themes of his work throughout his whole career to date?
His main research concerns Brownian motion, Mathematical analysis, Statistical physics, Probability distribution and Combinatorics.
His work deals with themes such as Distribution, Path integral formulation, Observable and Laplace transform, which intersect with Brownian motion.
His Mathematical analysis study integrates concerns from other disciplines, such as Probability density function, Boundary, Random variable and Constant.
The Statistical physics study combines topics in areas such as Stochastic process, Particle, Lattice and Exponential function.
His Probability distribution study combines topics from a wide range of disciplines, such as Mechanics, Distribution, Gaussian and Scaling.
His Distribution function research incorporates elements of Function and Airy function.
He most often published in these fields:
- Brownian motion (57.69%)
- Mathematical analysis (37.50%)
- Statistical physics (30.77%)
What were the highlights of his more recent work (between 2012-2020)?
- Brownian motion (57.69%)
- Path integral formulation (20.19%)
- Observable (15.38%)
In recent papers he was focusing on the following fields of study:
The scientist’s investigation covers issues in Brownian motion, Path integral formulation, Observable, Random matrix and Combinatorics.
His Brownian motion research includes elements of Probability density function, Scaling limit, Interval and Extreme value theory.
His Probability density function study combines topics in areas such as Laplace transform, Mathematical analysis, Explicit formulae, Gumbel distribution and Constant.
Local time is closely connected to Random variable in his research, which is encompassed under the umbrella topic of Interval.
His work in Path integral formulation addresses issues such as Statistics, which are connected to fields such as Integer and Density of states.
His research integrates issues of Probability distribution, Particle, Ring, Gaussian and Scaling in his study of Observable.
Between 2012 and 2020, his most popular works were:
- Reunion Probability of N Vicious Walkers: Typical and Large Fluctuations for Large N (40 citations)
- Reunion Probability of N Vicious Walkers: Typical and Large Fluctuations for Large N (40 citations)
- The Lyapunov Exponent of Products of Random 2×2 Matrices Close to the Identity (33 citations)
In his most recent research, the most cited papers focused on:
- Quantum mechanics
- Mathematical analysis
- Algebra
His primary areas of investigation include Brownian motion, Path integral formulation, Combinatorics, Random matrix and Eigenvalues and eigenvectors.
His research ties Interval and Brownian motion together.
His research in Interval intersects with topics in Statistics, Probability density function, Probability theory and Density of states.
His Random matrix research incorporates themes from Function, Identity matrix, Pure mathematics and Scaling.
His Eigenvalues and eigenvectors research incorporates themes from Continuum, Distribution, Saddle point and Large deviations theory.
His Brownian bridge research incorporates elements of Random variable, Type, Observable, Random walk and Integer.
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