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- Alain Comtet

Sorbonne University

France

- 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.

- 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)

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.

- Brownian motion (57.69%)
- Mathematical analysis (37.50%)
- Statistical physics (30.77%)

- Brownian motion (57.69%)
- Path integral formulation (20.19%)
- Observable (15.38%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Airy Distribution Function: From the Area Under a Brownian Excursion to the Maximal Height of Fluctuating Interfaces

Satya N. Majumdar;Satya N. Majumdar;Alain Comtet;Alain Comtet.

Journal of Statistical Physics **(2005)**

185 Citations

Exact maximal height distribution of fluctuating interfaces

Satya N. Majumdar;Alain Comtet;Alain Comtet.

Physical Review Letters **(2004)**

164 Citations

Precise asymptotics for a random walker's maximum

Alain Comtet;Alain Comtet;Satya N Majumdar.

Journal of Statistical Mechanics: Theory and Experiment **(2005)**

118 Citations

Local and occupation time of a particle diffusing in a random medium.

Satya N. Majumdar;Alain Comtet;Alain Comtet.

Physical Review Letters **(2002)**

117 Citations

Exact distribution of the maximal height of p vicious walkers

Grégory Schehr;Satya N. Majumdar;Alain Comtet;Julien Randon-Furling.

Physical Review Letters **(2008)**

117 Citations

Exponential Functionals of Brownian Motion and Disordered Systems

Alain Comtet;Cécile Monthus;Marc Yor.

Journal of Applied Probability **(1998)**

111 Citations

Spectral Determinant on Quantum Graphs

Eric Akkermans;Eric Akkermans;Alain Comtet;Jean Desbois;Gilles Montambaux.

Annals of Physics **(2000)**

106 Citations

Convex Hull of N Planar Brownian Motions: Exact Results and an Application to Ecology

Julien Randon-Furling;Satya N. Majumdar;Alain Comtet.

Physical Review Letters **(2009)**

105 Citations

Random Convex Hulls and Extreme Value Statistics

Satya N. Majumdar;Alain Comtet;Julien Randon-Furling.

Journal of Statistical Physics **(2010)**

100 Citations

UNIVERSALITY OF THE WIGNER TIME DELAY DISTRIBUTION FOR ONE-DIMENSIONAL RANDOM POTENTIALS

Christophe Texier;Alain Comtet.

Physical Review Letters **(1999)**

98 Citations

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