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- Bernard Derrida

Mathematics

France

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
88
Citations
27,638
262
World Ranking
58
National Ranking
4

Physics
D-index
89
Citations
27,693
253
World Ranking
1673
National Ranking
62

2023 - Research.com Mathematics in France Leader Award

2022 - Research.com Mathematics in France Leader Award

2015 - Three Physicists Prize (Prix des trois physiciens), École Normale Supérieure (ENS)

2011 - Member of Academia Europaea

2001 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

- Quantum mechanics
- Mathematical analysis
- Algebra

Bernard Derrida spends much of his time researching Statistical physics, Condensed matter physics, Mathematical analysis, Simple and Phase transition. Bernard Derrida specializes in Statistical physics, namely Large deviations theory. In general Condensed matter physics, his work in Electronic structure is often linked to Exponent linking many areas of study.

His work in Mathematical analysis covers topics such as Asymmetric simple exclusion process which are related to areas like Stochastic process and Particle. His work investigates the relationship between Simple and topics such as Current that intersect with problems in Additive function, Matrix, Distribution, Ring and Function. His studies deal with areas such as Reaction–diffusion system, Spin glass, Phase, Phase velocity and Nonlinear system as well as Phase transition.

- Exact solution of a 1d asymmetric exclusion model using a matrix formulation (1124 citations)
- Random-energy model: An exactly solvable model of disordered systems (1023 citations)
- Non-equilibrium steady states: fluctuations and large deviations of the density and of the current (677 citations)

The scientist’s investigation covers issues in Statistical physics, Condensed matter physics, Simple, Mathematical analysis and Phase transition. His Statistical physics research is multidisciplinary, incorporating elements of Current and Random energy model. His study looks at the relationship between Current and fields such as Mathematical physics, as well as how they intersect with chemical problems.

His Condensed matter physics research incorporates themes from Phase and Scaling. His Mathematical analysis study combines topics in areas such as Lattice and Asymmetric simple exclusion process. He combines subjects such as Deviation function, Combinatorics and Brownian motion with his study of Large deviations theory.

- Statistical physics (52.62%)
- Condensed matter physics (17.23%)
- Simple (18.77%)

- Statistical physics (52.62%)
- Brownian motion (9.54%)
- Simple (18.77%)

His primary areas of investigation include Statistical physics, Brownian motion, Simple, Large deviations theory and Symmetry breaking. His multidisciplinary approach integrates Statistical physics and Coalescence in his work. His Brownian motion study also includes

- Random walk, which have a strong connection to Mathematical physics, Power law and Phase transition,
- Position, which have a strong connection to Mathematical analysis and Probability distribution,
- Particle which intersects with area such as Classical mechanics,
- Branching that intertwine with fields like Polymer,
- Displacement that connect with fields like Realization, Distribution and Limit.

His work carried out in the field of Simple brings together such families of science as Tree, Moment-generating function and Critical regime. His research on Large deviations theory also deals with topics like

- Deviation function which intersects with area such as Combinatorics,
- WKB approximation which is related to area like Ring, Langevin dynamics, Markov process, Stochastic process and Discrete time and continuous time. His study focuses on the intersection of Symmetry breaking and fields such as Random energy model with connections in the field of Thermodynamic limit, Symmetry and Ansatz.

- Universal current fluctuations in the symmetric exclusion process and other diffusive systems (38 citations)
- Exact solution of a Lévy walk model for anomalous heat transport. (38 citations)
- The Depinning Transition in Presence of Disorder: A Toy Model (35 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary scientific interests are in Statistical physics, Brownian motion, Large deviations theory, Position and Random walk. His research integrates issues of Simple, Current, Generalization and Steady state in his study of Statistical physics. His Brownian motion study deals with Particle intersecting with Displacement.

His Large deviations theory study also includes fields such as

- Deviation function together with Branching random walk, Exponential growth and Particle number,
- WKB approximation together with Classical mechanics, Ring, Markov process, Stochastic process and Discrete time and continuous time. Bernard Derrida has researched Position in several fields, including Probability distribution, Initial value problem, Laplace transform, Mathematical analysis and Term. As part of one scientific family, Bernard Derrida deals mainly with the area of Random walk, narrowing it down to issues related to the Mathematical physics, and often Conjecture, Essential singularity and Phase transition.

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.

Random-energy model: An exactly solvable model of disordered systems

Bernard Derrida.

Physical Review B **(1981)**

1693 Citations

Exact solution of a 1d asymmetric exclusion model using a matrix formulation

Bernard Derrida;M. R. Evans;V. Hakim;V. Pasquier.

Journal of Physics A **(1993)**

1432 Citations

Non-equilibrium steady states: fluctuations and large deviations of the density and of the current

Bernard Derrida.

Journal of Statistical Mechanics: Theory and Experiment **(2007)**

1154 Citations

AN EXACTLY SOLUBLE NON-EQUILIBRIUM SYSTEM : THE ASYMMETRIC SIMPLE EXCLUSION PROCESS

B. Derrida.

Physics Reports **(1998)**

1074 Citations

Random-Energy Model: Limit of a Family of Disordered Models

B. Derrida.

Physical Review Letters **(1980)**

994 Citations

Random networks of automata: a simple annealed approximation

B. Derrida;Y. Pomeau.

EPL **(1986)**

861 Citations

An exact solution of a one-dimensional asymmetric exclusion model with open boundaries

B. Derrida;E. Domany;D. Mukamel.

Journal of Statistical Physics **(1992)**

680 Citations

An Exactly Solvable Asymmetric Neural Network Model

B. Derrida;E. Gardner;A. Zippelius.

EPL **(1987)**

646 Citations

Optimal storage properties of neural network models

E Gardner;B Derrida.

Journal of Physics A **(1988)**

599 Citations

Shift in the velocity of a front due to a cutoff

Eric Brunet;Bernard Derrida.

Physical Review E **(1997)**

573 Citations

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