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- P. Di Francesco

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
6,370
105
World Ranking
1772
National Ranking
766

- Quantum mechanics
- Algebra
- Geometry

His main research concerns Pure mathematics, Mathematical physics, Quantum mechanics, Combinatorics and Quantum field theory. His study in the fields of Orbifold under the domain of Mathematical physics overlaps with other disciplines such as Coulomb. His study in the field of Quantum gravity, Static forces and virtual-particle exchange and Ground state also crosses realms of Laughlin wavefunction and Slater determinant.

His Quantum gravity study incorporates themes from Random matrix, Renormalization group, Causal structure, Universality and Curvature. His Combinatorics research is multidisciplinary, incorporating perspectives in Discrete mathematics and Eigenvalues and eigenvectors. P. Di Francesco has included themes like Torus, Special unitary group, Coset, Critical line and Conformal symmetry in his Quantum field theory study.

- 2D gravity and random matrices (1155 citations)
- Planar maps as labeled mobiles (254 citations)
- SU($N$) Lattice Integrable Models Associated With Graphs (197 citations)

P. Di Francesco mostly deals with Combinatorics, Pure mathematics, Mathematical physics, Enumeration and Quantum. His Combinatorics research integrates issues from Discrete mathematics and Matrix. The concepts of his Pure mathematics study are interwoven with issues in Polynomial and Quantum mechanics.

As part of one scientific family, P. Di Francesco deals mainly with the area of Mathematical physics, narrowing it down to issues related to the Conservation law, and often Direct proof. His Enumeration research includes elements of Function, Loop and Vertex. His research in Quantum tackles topics such as Plane which are related to areas like Link.

- Combinatorics (36.02%)
- Pure mathematics (29.19%)
- Mathematical physics (15.53%)

- Combinatorics (36.02%)
- Pure mathematics (29.19%)
- Quantum (10.56%)

His scientific interests lie mostly in Combinatorics, Pure mathematics, Quantum, Plane and Sign. P. Di Francesco has researched Combinatorics in several fields, including Discrete mathematics, Geodesic, Conserved quantity and Boundary value problem. His Geodesic research focuses on subjects like Quantum gravity, which are linked to Planar graph, Differential equation, Bijection, injection and surjection, Random matrix and Graph theory.

P. Di Francesco incorporates Pure mathematics and Sum rule in quantum mechanics in his studies. His work in Quantum tackles topics such as Polynomial which are related to areas like Boundary, Identity and Basis. His Plane study combines topics in areas such as Enumeration and Conjecture.

- Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule (109 citations)
- Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials (74 citations)
- The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials (62 citations)

- Quantum mechanics
- Algebra
- Geometry

His primary areas of study are Combinatorics, Pure mathematics, Quantum, Loop and Conjecture. His Combinatorics study combines topics from a wide range of disciplines, such as Discrete mathematics, Random matrix, Sign and Matrix model. His Integrable system study in the realm of Pure mathematics interacts with subjects such as Sum rule in quantum mechanics.

He works mostly in the field of Quantum, limiting it down to topics relating to Plane and, in certain cases, Enumeration, Transpose and Basis, as a part of the same area of interest. His Loop research incorporates themes from Cylinder, Quantum mechanics and Spin chain. His Conjecture study incorporates themes from Link, Conserved quantity, Partition function and Periodic boundary conditions.

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.

2D gravity and random matrices

P. Di Francesco;Paul H. Ginsparg;Jean Zinn-Justin.

Physics Reports **(1995)**

1284 Citations

SU($N$) Lattice Integrable Models Associated With Graphs

P. Di Francesco;J.-B. Zuber.

Nuclear Physics **(1990)**

280 Citations

Planar Maps as Labeled Mobiles

J. Bouttier;P. Di Francesco;E. Guitter.

Electronic Journal of Combinatorics **(2004)**

265 Citations

Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models

P. di Francesco;H. Saleur;J. B. Zuber.

Journal of Statistical Physics **(1987)**

237 Citations

World-sheet and space-time physics in two-dimensional (super)string theory

P. Di Francesco;D. Kutasov.

Nuclear Physics **(1992)**

216 Citations

Correlation functions in 2D string theory

P. Di Francesco;D. Kutasov.

Physics Letters B **(1991)**

204 Citations

Critical Ising correlation functions in the plane and on the torus

P. Di Francesco;H. Saleur;J.B. Zuber.

Nuclear Physics **(1987)**

196 Citations

Geodesic distance in planar graphs

J. Bouttier;P. Di Francesco;E. Guitter.

Nuclear Physics **(2003)**

192 Citations

Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule

P. Di Francesco;Paul Zinn-Justin.

Electronic Journal of Combinatorics **(2005)**

167 Citations

LAUGHLIN'S WAVE FUNCTIONS, COULOMB GASES AND EXPANSIONS OF THE DISCRIMINANT

P. Di Francesco;M. Gaudin;C. Itzykson;F. Lesage.

International Journal of Modern Physics A **(1994)**

166 Citations

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