D-Index & Metrics Best Publications
Engineering and Technology
France
2022

D-Index & Metrics

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 64 Citations 21,873 154 World Ranking 192 National Ranking 13
Engineering and Technology D-index 60 Citations 15,584 136 World Ranking 618 National Ranking 7

Research.com Recognitions

Awards & Achievements

2022 - Research.com Engineering and Technology in France Leader Award

2019 - Steele Prize for Mathematical Exposition

Overview

What is he best known for?

The fields of study he is best known for:

  • Algebra
  • Mathematical analysis
  • Algorithm

Philippe Flajolet mostly deals with Combinatorics, Algorithm, Discrete mathematics, Analytic combinatorics and Probabilistic logic. His Combinatorics study combines topics in areas such as Object, Simple and Airy function. His research integrates issues of Binary search tree and Binary tree in his study of Discrete mathematics.

His biological study spans a wide range of topics, including Singularity and Gravitational singularity. The study incorporates disciplines such as Base, Binary number and Birthday problem in addition to Probabilistic logic. His biological study deals with issues like Variety, which deal with fields such as Pure mathematics.

His most cited work include:

  • Analytic Combinatorics (2651 citations)
  • Probabilistic counting algorithms for data base applications (1060 citations)
  • Analytic Combinatorics: RANDOM STRUCTURES (900 citations)

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

Philippe Flajolet spends much of his time researching Combinatorics, Discrete mathematics, Algorithm, Analytic combinatorics and Analysis of algorithms. His research in Combinatorics tackles topics such as Singularity which are related to areas like Function. His Discrete mathematics research includes themes of Binary expression tree, Random binary tree and Algebraic number, Algebra.

He has included themes like Expression, Probabilistic logic, Probabilistic analysis of algorithms and Saddle point in his Algorithm study. His Analytic combinatorics research incorporates themes from Extremal combinatorics, Enumerative combinatorics and Algebraic combinatorics. His Analysis of algorithms research incorporates elements of Mellin transform, Case analysis, Theoretical computer science and Series.

He most often published in these fields:

  • Combinatorics (36.41%)
  • Discrete mathematics (34.56%)
  • Algorithm (21.20%)

What were the highlights of his more recent work (between 2007-2012)?

  • Discrete mathematics (34.56%)
  • Combinatorics (36.41%)
  • Analytic combinatorics (15.67%)

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

His main research concerns Discrete mathematics, Combinatorics, Analytic combinatorics, Pure mathematics and Generating function. His Discrete mathematics study incorporates themes from Probability distribution, Hypergeometric function, Poisson distribution, Series expansion and Analysis of algorithms. Philippe Flajolet has researched Combinatorics in several fields, including Mellin transform, Distribution, Space, Complex plane and Function.

His Analytic combinatorics research is multidisciplinary, incorporating elements of Extremal combinatorics, Isomorphism and Double exponential function. The concepts of his Generating function study are interwoven with issues in Continued fraction, Elliptic function, Recurrence relation and Orthogonal polynomials. As a part of the same scientific family, Philippe Flajolet mostly works in the field of Enumerative combinatorics, focusing on Combinatorial class and, on occasion, Applied mathematics.

Between 2007 and 2012, his most popular works were:

  • Analytic Combinatorics (2651 citations)
  • Analytic Combinatorics: RANDOM STRUCTURES (900 citations)
  • COMBINATORIAL MODELS OF CREATION{ANNIHILATION (49 citations)

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

  • Algebra
  • Mathematical analysis
  • Combinatorics

His scientific interests lie mostly in Discrete mathematics, Combinatorics, Analytic combinatorics, Pure mathematics and Probability distribution. His Discrete mathematics study integrates concerns from other disciplines, such as Poisson distribution, Elliptic function, Hypergeometric function and Continued fraction. His study deals with a combination of Combinatorics and Random tree.

As part of his studies on Analytic combinatorics, Philippe Flajolet often connects relevant subjects like Double exponential function. His Pure mathematics research integrates issues from Linear differential equation, Transcendental number, Finite difference, Holonomic and Polynomial coefficients. His Probability distribution study combines topics from a wide range of disciplines, such as Logarithm, Algebraic number, Error function, Simple and Inverse trigonometric functions.

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

Analytic Combinatorics

Philippe Flajolet;Robert Sedgewick.
(2009)

3878 Citations

Analytic Combinatorics: RANDOM STRUCTURES

Philippe Flajolet;Robert Sedgewick.
(2009)

1446 Citations

Probabilistic counting algorithms for data base applications

Philippe Flajolet;G. Nigel Martin.
Journal of Computer and System Sciences (1985)

1443 Citations

Singularity analysis of generating functions

Philippe Flajolet;Andrew M. Odlyzko.
SIAM Journal on Discrete Mathematics (1990)

1049 Citations

An Introduction to the Analysis of Algorithms

Robert Sedgewick;Philippe Flajolet.
(1995)

1015 Citations

Mellin transforms and asymptotics: harmonic sums

Philippe Flajolet;Xavier Gourdon;Philippe Dumas.
Theoretical Computer Science (1995)

654 Citations

Combinatorial aspects of continued fractions

P. Flajolet.
Discrete Mathematics (1980)

583 Citations

HyperLogLog: the analysis of a near-optimal cardinality estimation algorithm

Philippe Flajolet;Éric Fusy;Olivier Gandouet;Frédéric Meunier.
Discrete Mathematics & Theoretical Computer Science (2007)

548 Citations

Birthday paradox, coupon collectors, caching algorithms and self-organizing search

Philippe Flajolet;Danièle Gardy;Loÿs Thimonier;Loÿs Thimonier.
Discrete Applied Mathematics (1992)

442 Citations

Random mapping statistics

Philippe Flajolet;Andrew M. Odlyzko.
theory and application of cryptographic techniques (1990)

395 Citations

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