P. Zinn-Justin

发表

Adding and multiplying random matrices: a generalization of Voiculescu's formulas.

P. Zinn-Justin, 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

Path representation of maximal parabolic Kazhdan-Lusztig polynomials

P. Zinn-Justin, P. Zinn-Justin, K. Shigechi, 2010, 1001.1080.

On some integrals over the U(N) unitary group and their large N limit

P. Zinn-Justin, J. Zuber, P. Zinn-Justin, 2003 .

0 A pr 2 00 7 Quantum Knizhnik – Zamolodchikov equation , Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices

P. Zinn-Justin, P. Francesco, P. Zinn-Justin, 2007 .

Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatorics

P. Zinn-Justin, P. Francesco, P. Di Francesco, 2007, 0709.3410.

Six-vertex, Loop and Tiling Models: Integrability and Combinatorics

P. Zinn-Justin, P. Zinn-Justin, 2009, 0901.0665.

Some Matrix Integrals related to Knots and Links

P. Zinn-Justin, 1999, math-ph/9910010.

LECTURES ON GEOMETRY, QUANTUM INTEGRABILITY AND SYMMETRIC FUNCTIONS

P. Zinn-Justin, 2019 .

Schubert puzzles and integrability I: invariant trilinear forms

P. Zinn-Justin, A. Knutson, 2017, 1706.10019.

Littlewood–Richardson coefficients for Grothendieck polynomials from integrability

P. Zinn-Justin, M. Wheeler, 2016, Journal für die reine und angewandte Mathematik (Crelles Journal).

Combinatorial Point for Fused Loop Models

P. Zinn-Justin, 2006, math-ph/0603018.

The Trigonometric $E_8$ R-matrix

P. Zinn-Justin, 2020, 2004.02044.

Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras

P. Zinn-Justin, 1997, hep-th/9712222.

A Conjectured Formula for Fully Packed Loop Configurations in a Triangle

Paul Zinn-Justin, P. Zinn-Justin, 2009, Electron. J. Comb..

LETTER TO THE EDITOR: The quantum Knizhnik Zamolodchikov equation, generalized Razumov Stroganov sum rules and extended Joseph polynomials

P. Zinn-Justin, P. Francesco, 2005, math-ph/0508059.

Polynomial solutions of qKZ equation and ground state of XXZ spin chain at Δ = −1/2

P. Zinn-Justin, A. Razumov, Y. Stroganov, 2007, 0704.3542.

1 1 M ay 2 01 6 TYPE Ĉ BRAUER LOOP SCHEMES AND LOOP MODEL WITH BOUNDARIES

P. Zinn-Justin, Anita Ponsaing, Anita K. Ponsaing, 2021 .

A TRANSFER MATRIX APPROACH TO THE ENUMERATION OF KNOTS

P. Zinn-Justin, J. Jacobsen, 2001, math-ph/0102015.

Thermodynamic limit of the six-vertex model with domain wall boundary conditions

P. Zinn-Justin, V. Korepin, 2000, cond-mat/0004250.

A Bijection Between Classes of Fully Packed Loops and Plane Partitions

P. Zinn-Justin, J. Zuber, P. Francesco, 2003, Electron. J. Comb..

Equilibrium problems for Raney densities

P. Forrester, P. Zinn-Justin, Dang-Zheng Liu, 2014, 1411.4091.

On some integrals over the U(N) unitary group and their large N limit

P. Zinn-Justin, J. Zuber, 2002, math-ph/0209019.

The six-vertex model on random lattices

P. Zinn-Justin, 1999, cond-mat/9909250.

The Dilute Potts Model on Random Surfaces

P. Zinn-Justin, Paul Zinn-Justin, 1999, cond-mat/9903385.

Universality of Correlation Functions of Hermitian Random Matrices in an External Field

P. Zinn-Justin, 1997, cond-mat/9705044.

Random Hermitian matrices in an external field

P. Zinn-Justin, 1997, cond-mat/9703033.

Universality of Correlation Functions of Hermitian Random Matrices in an External Field

P. Zinn-Justin, 1999 .

The six-vertex model on random planar maps revisited

P. Zinn-Justin, A. Price, 2020, 2007.07928.

Eulerian orientations and the six-vertex model on planar map

P. Zinn-Justin, M. Bousquet-M'elou, A. Price, 2019, 1902.07369.

Honeycombs for Hall Polynomials

P. Zinn-Justin, 2019, Electron. J. Comb..

P. Zinn-Justin, A. Knutson, 2005, math/0503224.

HCIZ integral and 2D Toda lattice hierarchy

P. Zinn-Justin, 2002, math-ph/0202045.

Two-matrix model with ABAB interaction

P. Zinn-Justin, V. Kazakov, 1998, hep-th/9808043.

A Transfer Matrix approach to the Enumeration of Colored Links

P. Zinn-Justin, J. Jacobsen, 2001, math-ph/0104009.

On the Asymptotic Number of Plane Curves and Alternating Knots

P. Zinn-Justin, G. Schaeffer, 2003, Exp. Math..

The generalized multi-channel Kondo model: Thermodynamics and fusion equations

P. Zinn-Justin, N. Andrei, 1998, cond-mat/9801158.

Loop Models, Random Matrices and Planar Algebras

A. Guionnet, P. Zinn-Justin, D. Shlyakhtenko, 2012, Communications in Mathematical Physics.

Grassmann–Grassmann conormal varieties, integrability, and plane partitions

P. Zinn-Justin, A. Knutson, 2016, Annales de l'Institut Fourier.

Loop model with mixed boundary conditions, qKZ equation and alternating sign matrices

P. Zinn-Justin, Paul Zinn-Justin, 2006, math-ph/0610067.

Inhomogenous Model of Crossing Loops and Multidegrees of Some Algebraic Varieties

P. Zinn-Justin, P. Francesco, 2004, math-ph/0412031.

MATRIX INTEGRALS AND THE GENERATION AND COUNTING OF VIRTUAL TANGLES AND LINKS

P. Zinn-Justin, J. Zuber, 2003, math-ph/0303049.

The Combinatorics of Alternating Tangles: From Theory To Computerized Enumeration

P. Zinn-Justin, J. Jacobsen, 2001, math-ph/0111011.

Matrix integrals and the counting of tangles and links

P. Zinn-Justin, J. Zuber, 1999, Discret. Math..

ON THE COUNTING OF COLORED TANGLES

P. Zinn-Justin, J. Zuber, 2000, math-ph/0002020.

Algebraic Bethe ansatz for the FPL2 model

P. Zinn-Justin, J. Jacobsen, 2004, math-ph/0402008.

Punctured plane partitions and the q-deformed Knizhnik-Zamolodchikov and Hirota equations

Paul Zinn-Justin, Jan de Gier, Pavel Pyatov, 2007, J. Comb. Theory, Ser. A.

Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras

P. Zinn-Justin, 1997, hep-th/9712222.

3 1 2 Ju l 2 00 5 On some integrals over the U ( N ) unitary group and their large N limit

P. Zinn-Justin, 2022 .

The arctic curve of the domain wall six-vertex model in its antiferroelectric regime

P. Zinn-Justin, F. Colomo, A. Pronko, 2009, 0907.1264.

Proof of the Razumov-Stroganov Conjecture for some Infinite Families of Link Patterns

Paul Zinn-Justin, P. Zinn-Justin, 2006, Electron. J. Comb..

The Influence of Boundary Conditions in the Six-Vertex Model

P. Zinn-Justin, 2002, cond-mat/0205192.

Inhomogeneous six-vertex model with domain wall boundary conditions and Bethe ansatz

P. Zinn-Justin, V. Korepin, 2000, nlin/0008030.

1324-avoiding Permutations Revisited

Andrew R. Conway, Anthony J. Guttmann, Paul Zinn-Justin, 2017, Adv. Appl. Math..

A doubly-refined enumeration of alternating sign matrices and descending plane partitions

Paul Zinn-Justin, Roger E. Behrend, Philippe Di Francesco, 2012, J. Comb. Theory, Ser. A.

On the weighted enumeration of alternating sign matrices and descending plane partitions

Paul Zinn-Justin, Roger E. Behrend, Philippe Di Francesco, 2011, J. Comb. Theory, Ser. A.

Shuffle algebras, lattice paths and the commuting scheme

P. Zinn-Justin, A. Garbali, 2021, 2110.07155.

Type $\hat{\mathrm C}$ Brauer loop schemes and loop model with boundaries

P. Zinn-Justin, Anita K. Ponsaing, 2014, 1410.0262.

Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral

P. Zinn-Justin, A. Varchenko, V. Tarasov, 2011, 1110.2187.

From Orbital Varieties to Alternating Sign Matrices

P. Zinn-Justin, P. Francesco, 2005, math-ph/0512047.

Restricting Schubert classes to symplectic Grassmannians using self-dual puzzles

P. Zinn-Justin, A. Knutson, I. Halacheva, 2018, 1811.07581.

Refined Cauchy/Littlewood identities and six-vertex model partition functions: III. Deformed bosons

P. Zinn-Justin, M. Wheeler, 2015, 1508.02236.

Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures

P. Zinn-Justin, M. Wheeler, D. Betea, 2014, 1405.7035.

Discrete holomorphicity and quantized affine algebras

P. Zinn-Justin, M. Wheeler, R. Weston, 2013, 1302.4649.

A transfer matrix for the backbone exponent of two-dimensional percolation

P. Zinn-Justin, J. Jacobsen, 2001, cond-mat/0111374.

Theta function solutions of the quantum Knizhnik–Zamolodchikov–Bernard equation for a face model

P. Zinn-Justin, P. Finch, R. Weston, 2016 .

Quelques applications de l'Ansatz de Bethe (Some applications of the Bethe Ansatz)

P. Zinn-Justin, 1998, solv-int/9810007.

Hall polynomials, inverse Kostka polynomials and puzzles

Paul Zinn-Justin, M. Wheeler, P. Zinn-Justin, 2016, J. Comb. Theory, Ser. A.

Loop Models and K-Theory

P. Zinn-Justin, 2016, Symmetry, Integrability and Geometry: Methods and Applications.

INTEGRABILITY AND COMBINATORICS: SELECTED TOPICS

P. Zinn-Justin, 2009 .

Schubert puzzles and integrability II: multiplying motivic Segre classes

Paul Zinn-Justin, Allen Knutson, P. Zinn-Justin, 2021, 2102.00563.

Jucys–Murphy Elements and Weingarten Matrices

P. Zinn-Justin, 2009, 0907.2719.

Adding and multiplying random matrices: a generalization of Voiculescu's formulas.

P. Zinn-Justin, 1998, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

Littlewood-Richardson Coefficients and Integrable Tilings

Paul Zinn-Justin, P. Zinn-Justin, 2008, Electron. J. Comb..

Theta function solutions of the qKZB equation for a face model

P. Zinn-Justin, P. Finch, R. Weston, 2015, 1509.04594.

Quiver varieties and the quantum Knizhnik–Zamolodchikov equation

P. Zinn-Justin, 2015, 1502.01093.

Higher Spin Polynomial Solutions of Quantum Knizhnik–Zamolodchikov Equation

P. Zinn-Justin, T. Fonseca, 2014, Communications in Mathematical Physics.

Higher Spin Polynomial Solutions of Quantum Knizhnik–Zamolodchikov Equation

P. Zinn-Justin, T. Fonseca, 2012, 1212.4672.

The Brauer loop scheme and orbital varieties

P. Zinn-Justin, A. Knutson, 2010, 1001.3335.

On some ground state components of the O(1) loop model

P. Zinn-Justin, P. Zinn-Justin, T. Fonseca, 2009, 0901.1679.

On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions

Paul Zinn-Justin, Tiago Fonseca, P. Zinn-Justin, 2008, Electron. J. Comb..

Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain

P. Zinn-Justin, J. Zuber, P. Francesco, 2006, math-ph/0603009.

Around the Razumov-Stroganov Conjecture: Proof of a Multi-Parameter Sum Rule

Paul Zinn-Justin, Philippe Di Francesco, P. Zinn-Justin, 2004, Electron. J. Comb..

Sum Rule for the Eight-Vertex Model on Its Combinatorial Line

P. Zinn-Justin, 2012, 1202.4420.

Higher spin sl_2 R-matrix from equivariant (co)homology

P. Zinn-Justin, D. Bykov, 2019, 1904.11107.

Spectral analysis of the free orthogonal matrix

B. Collins, P. Zinn-Justin, T. Banica, 2009, 0901.1918.

Determinant Formulae for some Tiling Problems and Application to Fully Packed Loops

P. Di Francesco, P. Zinn-Justin, J. Zuber, 2004, math-ph/0410002.

DOUBLY-REFINED ENUMERATION OF ALTERNATING SIGN MATRICES AND DESCENDING PLANE PARTITIONS

P. Zinn-Justin, P. Francesco, R. Behrend, 2022 .

Quantum Knizhnik-Zamolodchikov equation, totally symmetric self-complementary plane partitions, and alternating sign matrices

P. Zinn-Justin, P. Francesco, 2008 .

Quantum Knizhnik-Zamolodchikov Equation, Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices

P. Zinn-Justin, P. Francesco, 2007, math-ph/0703015.

The quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomials

P. Zinn-Justin, P. Francesco, 2005, math-ph/0508059.

Some Matrix Integrals related to Knots and Links

P. Zinn-Justin, 1999, math-ph/9910010.

Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjectures

P. Zinn-Justin, M. Wheeler, D. Betea, 2015, Journal of Algebraic Combinatorics.

Ju l 2 00 5 On some integrals over the U ( N ) unitary group and their large N limit

P. Zinn-Justin, 2022 .

Six-vertex model with domain wall boundary conditions and one-matrix model

P. Zinn-Justin, Zinn-Justin, 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.