D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 36 Citations 8,388 263 World Ranking 1744 National Ranking 103

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Mathematical analysis
  • Artificial intelligence

His primary areas of investigation include Mathematical analysis, Renewable energy, Discrete mathematics, Statistical physics and Exponential function. His Mathematical analysis research incorporates themes from Complex system, Period-doubling bifurcation and Universality. Pierre Collet has researched Renewable energy in several fields, including Life-cycle assessment and Waste management, Biofuel, Biogas.

The concepts of his Discrete mathematics study are interwoven with issues in Ergodic theory, Pure mathematics and Measure, Null set. His Pure mathematics research is multidisciplinary, incorporating perspectives in Dynamical systems theory, Interpretation and Scaling. His Statistical physics study combines topics in areas such as Eigenvalues and eigenvectors, Differentiable function, Calculus, Interval and Crossover.

His most cited work include:

  • Iterated maps on the interval as dynamical systems (1119 citations)
  • Life-cycle assessment of microalgae culture coupled to biogas production. (395 citations)
  • The dimension spectrum of some dynamical systems (210 citations)

What are the main themes of his work throughout his whole career to date?

His primary scientific interests are in Evolutionary algorithm, Mathematical analysis, Artificial intelligence, Combinatorics and Statistical physics. He combines subjects such as Evolutionary computation, Theoretical computer science, General-purpose computing on graphics processing units and Parallel computing with his study of Evolutionary algorithm. His research brings together the fields of Dynamical systems theory and Mathematical analysis.

His Artificial intelligence study frequently draws connections between adjacent fields such as Machine learning. His studies link Discrete mathematics with Combinatorics. His research in Mathematical optimization is mostly focused on Optimization problem.

He most often published in these fields:

  • Evolutionary algorithm (17.32%)
  • Mathematical analysis (15.22%)
  • Artificial intelligence (11.81%)

What were the highlights of his more recent work (between 2015-2021)?

  • Optimization problem (3.15%)
  • Life-cycle assessment (3.67%)
  • Artificial intelligence (11.81%)

In recent papers he was focusing on the following fields of study:

His primary areas of study are Optimization problem, Life-cycle assessment, Artificial intelligence, Algorithm and Benchmark. His biological study spans a wide range of topics, including Evolutionary algorithm, Grid connection and Electricity. His work deals with themes such as Risk analysis, Representativeness heuristic and Renewable energy, which intersect with Life-cycle assessment.

His Renewable energy research integrates issues from Waste management and Environmental engineering. As a part of the same scientific family, Pierre Collet mostly works in the field of Artificial intelligence, focusing on Machine learning and, on occasion, Perception, Aliasing and Classifier. As part of the same scientific family, Pierre Collet usually focuses on Fixed point, concentrating on Stationary distribution and intersecting with Pure mathematics.

Between 2015 and 2021, his most popular works were:

  • Techno-economic and Life Cycle Assessment of methane production via biogas upgrading and power to gas technology (149 citations)
  • Sharp asymptotics for the quasi-stationary distribution of birth-and-death processes (24 citations)
  • On Concentration Inequalities and Their Applications for Gibbs Measures in Lattice Systems (15 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Artificial intelligence
  • Mathematical analysis

His scientific interests lie mostly in Life-cycle assessment, Context, Renewable energy, Carbon neutrality and Natural resource economics. Pierre Collet interconnects Fossil fuel, Risk analysis, Representativeness heuristic and Data collection in the investigation of issues within Life-cycle assessment. His Risk analysis study incorporates themes from Life cycle impact assessment and Temporal resolution.

The Renewable energy study combines topics in areas such as Electricity, Waste management, Environmental engineering and Climate change mitigation. His Carbon neutrality research includes themes of Energy policy and Soil carbon. Natural resource economics combines with fields such as Bioenergy, Carbon sequestration, Carbon accounting and Carbon cycle in his work.

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.

Best Publications

Iterated maps on the interval as dynamical systems

Pierre Collet;Jean Pierre Eckmann.
(1980)

2835 Citations

Life-cycle assessment of microalgae culture coupled to biogas production.

Pierre Collet;Arnaud Hélias;Laurent Lardon;Monique Ras.
Bioresource Technology (2011)

652 Citations

The dimension spectrum of some dynamical systems

P. Collet;Joel Lebowitz;A. Porzio.
Journal of Statistical Physics (1987)

314 Citations

Universal properties of maps on an interval

P. Collet;J. P. Eckmann;O. E. Lanford.
Communications in Mathematical Physics (1980)

306 Citations

Instabilities and fronts in extended systems

Pierre Collet;Jean‐Pierre Eckmann;Klaus Kirchgässner.
(1990)

301 Citations

Period doubling bifurcations for families of maps on ℝ n

P. Collet;J. P. Eckmann;H. Koch.
Journal of Statistical Physics (1981)

199 Citations

Techno-economic and Life Cycle Assessment of methane production via biogas upgrading and power to gas technology

Pierre Collet;Eglantine Flottes;Alain Favre;Ludovic Raynal.
Applied Energy (2017)

197 Citations

Positive Liapunov exponents and absolute continuity for maps of the interval

P. Collet;J.-P. Eckmann.
Ergodic Theory and Dynamical Systems (1983)

197 Citations

Statistics of closest return for some non-uniformly hyperbolic systems

P. Collet.
Ergodic Theory and Dynamical Systems (2001)

195 Citations

A global attracting set for the Kuramoto-Sivashinsky equation

Pierre Collet;Jean-Pierre Eckmann;Henri Epstein;Joachim Stubbe.
Communications in Mathematical Physics (1993)

187 Citations

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