His primary areas of study are Boundary value problem, Combinatorics, Hermitian matrix, Pure mathematics and Loop. He has researched Boundary value problem in several fields, including Vertex model and Partition function. He interconnects Geometry and Thermodynamic limit in the investigation of issues within Vertex model.
His Combinatorics research is multidisciplinary, incorporating elements of Discrete mathematics, Toda lattice, Integrable system, Integral element and Limit. His Hermitian matrix research includes elements of Elliptic function, Mathematical analysis, Central charge and External field. Paul Zinn-Justin combines subjects such as Hierarchy, Wave function and Triangular matrix with his study of Pure mathematics.
Paul Zinn-Justin mostly deals with Combinatorics, Pure mathematics, Loop, Quantum and Mathematical physics. His Combinatorics research incorporates elements of Discrete mathematics and Sign. His study in the field of Integrable system, Equivariant map and Equivariant cohomology is also linked to topics like Brauer algebra.
His work deals with themes such as Plane and Ground state, which intersect with Quantum. His Ground state research integrates issues from Eigenvalues and eigenvectors, Mathematical analysis and Spin-½. He usually deals with Mathematical physics and limits it to topics linked to Limit and Critical exponent.
His main research concerns Combinatorics, Pure mathematics, Equivariant map, Bijection and Grassmannian. His Vertex model, Classical orthogonal polynomials, Macdonald polynomials, Orthogonal polynomials and Difference polynomials investigations are all subjects of Combinatorics research. His study on Vertex model also encompasses disciplines like
His work on Equivariant cohomology, Conjecture and Symmetric function is typically connected to Hall algebra and Loop as part of general Pure mathematics study, connecting several disciplines of science. His work carried out in the field of Symmetric function brings together such families of science as Cauchy distribution, Boson, Combinatorial formula and Integrable system. His Equivariant map research also works with subjects such as
Paul Zinn-Justin focuses on Pure mathematics, Combinatorics, Conjecture, Symmetric function and Grassmannian. His Pure mathematics research is multidisciplinary, relying on both Vertex model, Series and Degenerate energy levels. The various areas that Paul Zinn-Justin examines in his Vertex model study include Equivalence, Orientation, Theta function and Bijection.
Particularly relevant to Homology is his body of work in Combinatorics. His research integrates issues of Generalized inverse, Inverse and Equivariant cohomology in his study of Conjecture. His biological study spans a wide range of topics, including Structure constants, K-theory, Cohomology and Equivariant map.
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Thermodynamic limit of the six-vertex model with domain wall boundary conditions
V Korepin;P Zinn-Justin.
Journal of Physics A (2000)
Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule
P. Di Francesco;Paul Zinn-Justin.
Electronic Journal of Combinatorics (2005)
Six-vertex model with domain wall boundary conditions and one-matrix model
Physical Review E (2000)
Universality of Correlation Functions of Hermitian Random Matrices in an External Field
Communications in Mathematical Physics (1998)
Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials
P. Di Francesco;P. Zinn-Justin.
arXiv: Mathematical Physics (2005)
On some integrals over the U(N) unitary group and their large N limit
Paul Zinn-Justin;Jean-Bernard Zuber.
Journal of Physics A (2003)
The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials
P. Di Francesco;Paul Zinn-Justin.
Journal of Physics A (2005)
Random Hermitian matrices in an external field
Nuclear Physics (1997)
Polynomial solutions of qKZ equation and ground state of XXZ spin chain at Delta = -1/2
A. V. Razumov;Yu. G. Stroganov;P. Zinn-Justin.
arXiv: Mathematical Physics (2007)
Six-vertex, Loop and Tiling Models: Integrability and Combinatorics
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