First, note that (almost) all my preprints are available on the archive.

Here is my list of publications in PDF format.

Next, you can find my PhD thesis, as well as my habilitation thesis.

Finally, you may prefer to browse my papers by theme:

Combinatorics and Quantum Integrable models: (7 papers)

  • R. Behrend , P. Di Francesco , P. Zinn-Justin , The doubly refined enumeration of Alternating Sign Matrices and Descending Plane Partitions. (2012), arXiv:1202.1520. preprint. bibTeX
  • R. Behrend , P. Di Francesco , P. Zinn-Justin , On the weighted enumeration of Alternating Sign Matrices and Descending Plane Partitions. J. Combin. Theory Ser. A 119 (2) (2012), 331 - 363. arXiv:1103.1176. bibTeX
  • P. Zinn-Justin , Littlewood-Richardson coefficients and integrable tilings. Electron. J. Combin. 16 (2009), Research Paper 12. arXiv:0809.2392. bibTeX
  • T. Fonseca , P. Zinn-Justin , On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane Partitions. Electron. J. Combin. 15 (2008), Research Paper 81, 35 pp. arXiv:0803.1595. bibTeX
  • J. de Gier , P. Pyatov , P. Zinn-Justin , Punctured plane partitions and the q-deformed Knizhnik-Zamolodchikov and Hirota equations. J. Combin. Theory Ser. A 116 (4) (2009), 772-794. arXiv:0712.3584. bibTeX
  • P. Di Francesco , P. Zinn-Justin , Quantum Knizhnik-Zamolodchikov equation: reflecting boundary conditions and combinatorics. J. Stat. Mech. Theory Exp. (12) (2007), P12009, 30 pp. arXiv:0709.3410. bibTeX
  • P. Di Francesco , P. Zinn-Justin , Quantum Knizhnik-Zamolodchikov Equation, Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign Matrices. Theor. Math. Phys. 154 (3) (2008), 331-348. arXiv:math-ph/0703015. bibTeX

    • Integrable models at their combinatorial point: (8 papers)

  • P. Zinn-Justin , Sum rule for the eight-vertex model on its combinatorial line. (2012), arXiv:1202.4420. preprint. bibTeX
  • T. Fonseca , P. Zinn-Justin , On some ground state components of the O(1) loop model. J. Stat. Mech. Theory Exp. (2009), P03025. arXiv:0901.1679. bibTeX
  • A. Razumov , Yu. Stroganov , P. Zinn-Justin , Polynomial solutions of qKZ equation and ground state of XXZ spin chain at Delta=-1/2. J. Phys. A 40 (39) (2007), 11827-11847. arXiv:0704.3542. bibTeX
  • P. Zinn-Justin , Loop model with mixed boundary conditions, qKZ equation and alternating sign matrices. J. Stat. Mech. Theory Exp. (1) (2007), P01007, 16 pp. arXiv:math-ph/0610067. bibTeX
  • P. Zinn-Justin , Proof of the Razumov-Stroganov conjecture for some infinite families of link patterns. Electron. J. Combin. 13 (1) (2006), Research Paper 110, 15 pp. arXiv:math/0607183. bibTeX
  • P. Zinn-Justin , Combinatorial point for fused loop models. Comm. Math. Phys. 272 (3) (2007), 661-682. arXiv:math-ph/0603018. bibTeX
  • P. Di Francesco , P. Zinn-Justin , J.-B. Zuber , Sum Rules for the Ground States of the O(1) Loop Model on a Cylinder and the XXZ Spin Chain. J. Stat. Mech. (2006), P08011. arXiv:math-ph/0603009. bibTeX
  • P. Di Francesco , P. Zinn-Justin , Around the Razumov-Stroganov conjecture: proof of a multi-parameter sum rule. Electron. J. Combin. 12 (2005), Research Paper 6, 27 pp. arXiv:math-ph/0410061. bibTeX

    • Geometry and Quantum Integrable models: (6 papers)

  • R. Rimanyi , V. Tarasov , A. Varchenko , P. Zinn-Justin , Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integral. (2011), arXiv:1110.2187. preprint. bibTeX
  • A. Knutson , P. Zinn-Justin , The Brauer loop scheme and orbital varieties. (2009), arXiv:1001.3335. preprint. bibTeX
  • P. Di Francesco , P. Zinn-Justin , From Orbital Varieties to Alternating Sign Matrices. (2006), arXiv:math-ph/0512047. extended abstract for FPSAC'06. bibTeX
  • P. Di Francesco , P. Zinn-Justin , Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials. J. Phys. A 38 (48) (2005), L815-L822. arXiv:math-ph/0508059. bibTeX
  • A. Knutson , P. Zinn-Justin , A scheme related to the Brauer loop model. Adv. Math. 214 (1) (2007), 40-77. arXiv:math.AG/0503224. bibTeX
  • P. Di Francesco , P. Zinn-Justin , Inhomogeneous model of crossing loops and multidegrees of some algebraic varieties. Comm. Math. Phys. 262 (2) (2006), 459-487. arXiv:math-ph/0412031. bibTeX

    • Statistical Models on Random Lattices: (5 papers)

  • A. Guionnet , V. Jones , D. Shlyakhtenko , P. Zinn-Justin , Loop models, random matrices and planar algebras. (2010), arXiv:1012.0619. preprint. bibTeX
  • P. Zinn-Justin , The asymmetric ABAB matrix model. Europhys. Lett. 64 (6) (2003), 737-742. arXiv:hep-th/0308132. bibTeX
  • P. Zinn-Justin , The six-vertex model on random lattices. Europhys. Lett. 50 (1) (2000), 15-21. arXiv:cond-mat/9909250. bibTeX
  • P. Zinn-Justin , The dilute Potts model on random surfaces. J. Statist. Phys. 98 (1-2) (2000), j10-264. arXiv:cond-mat/9903385. bibTeX
  • V. Kazakov , P. Zinn-Justin , Two-matrix model with ABAB interaction. Nuclear Phys. B 546 (3) (1999), 647-668. arXiv:hep-th/9808043. bibTeX

    • Six-Vertex model: (5 papers)

  • F. Colomo , G. Pronko , P. Zinn-Justin , The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regime. J. Stat. Mech. Theory Exp. (2010), L03002. arXiv:1001.2189. bibTeX
  • P. Zinn-Justin , The Influence of Boundary Conditions in the Six-Vertex Model. (2002), arXiv:cond-mat/0205192. unpublished preprint. bibTeX
  • V. Korepin , P. Zinn-Justin , Inhomogeneous six-vertex model with domain wall boundary conditions and Bethe ansatz. J. Math. Phys. 43 (6) (2002), 3261-3267. arXiv:nlin.SI/0008030. bibTeX
  • P. Zinn-Justin , Six-vertex model with domain wall boundary conditions and one-matrix model. Phys. Rev. E 62 (3, part A) (2000), 3411-3418. arXiv:math-ph/0005008. bibTeX
  • V. Korepin , P. Zinn-Justin , Thermodynamic limit of the six-vertex model with domain wall boundary conditions. J. Phys. A 33 (40) (2000), 7053-7066. arXiv:cond-mat/0004250. bibTeX

    • Kazhdan-Lusztig polynomials: (1 papers)

  • K. Shigechi , P. Zinn-Justin , Path representation of maximal parabolic Kazhdan-Lusztig polynomials. Journal of Pure and Applied Algebra (2012), arXiv:1001.1080. bibTeX

    • Integrals over (quantum) groups: (4 papers)

  • P. Zinn-Justin , Jucys-Murphy elements and Weingarten matrices. Lett. Math. Phys. 91 (2) (2010), 119-127. arXiv:0907.2719. bibTeX
  • T. Banica , B. Collins , P. Zinn-Justin , Spectral analysis of the free orthogonal matrix. Int. Math. Res. Not. 17 (2009), 3286-3309. arXiv:0901.1918. bibTeX
  • P. Zinn-Justin , J.-B. Zuber , On some integrals over the U(N) unitary group and their large N limit. J. Phys. A 36 (12) (2003), 3173-3193. arXiv:math-ph/0209019. special issue on Random Matrix Theory. bibTeX
  • P. Zinn-Justin , HCIZ integral and 2D Toda lattice hierarchy. Nuclear Phys. B 634 (3) (2002), 417-432. arXiv:math-ph/0202045. bibTeX

    • Knot Enumeration: (12 papers)

  • P. Zinn-Justin , J.-B. Zuber , Knot theory and matrix integrals. (2009), arXiv:1006.1812. chapter of the book Random Matrix Theory, Eds Akemann, Baik and Di Francesco. bibTeX
  • P. Zinn-Justin , Conjectures on the enumeration of alternating links. in "Physical and numerical models in knot theory" 36 (2005), 597-606. bibTeX
  • P. Zinn-Justin , J.-B. Zuber , Matrix integrals and the generation and counting of virtual tangles and links. J. Knot Theory Ramifications 13 (3) (2004), 325-355. arXiv:math-ph/0303049. bibTeX
  • G. Schaeffer , P. Zinn-Justin , On the asymptotic number of plane curves and alternating knots. Experiment. Math. 13 (4) (2004), 483-493. arXiv:math-ph/0304034. bibTeX
  • J. Jacobsen , P. Zinn-Justin , Matrix models and the enumeration of alternating tangles. Markov Process. Related Fields 9 (2) (2003), 301-310. proceedings of "Inhomogeneous random systems" (Cergy-Pontoise, 2002). bibTeX
  • J. Jacobsen , P. Zinn-Justin , The combinatorics of alternating tangles: from theory to computerized enumeration. in "Asymptotic combinatorics with application to mathematical physics (St. Petersburg, 2001)" 77 (2002), 97-112. arXiv:math-ph/0111011. bibTeX
  • P. Zinn-Justin , The general O(n) quartic matrix model and its application to counting tangles and links. Comm. Math. Phys. 238 (1-2) (2003), 287-304. arXiv:math-ph/0106005. bibTeX
  • J. Jacobsen , P. Zinn-Justin , A transfer matrix approach to the enumeration of colored links. J. Knot Theory Ramifications 10 (8) (2001), 1233-1267. arXiv:math-ph/0104009. bibTeX
  • J. Jacobsen , P. Zinn-Justin , A transfer matrix approach to the enumeration of knots. J. Knot Theory Ramifications 11 (5) (2002), 739-758. arXiv:math-ph/0102015. bibTeX
  • P. Zinn-Justin , J.-B. Zuber , On the counting of colored tangles. J. Knot Theory Ramifications 9 (8) (2000), 1127-1141. arXiv:math-ph/0002020. bibTeX
  • P. Zinn-Justin , Some matrix integrals related to knots and links. in "Random matrix models and their applications" 40 (2001), 421-438. arXiv:math-ph/9910010. proceedings of the 1999 semester at the MSRI. bibTeX
  • P. Zinn-Justin , J.-B. Zuber , Matrix integrals and the counting of tangles and links. Discrete Math. 246 (1-3) (2002), 343-360. arXiv:math-ph/9904019. proceedings of "Formal power series and algebraic combinatorics" (Barcelona, 1999). bibTeX

    • Fully Packed Loops: (3 papers)

  • P. Zinn-Justin , A conjectured formula for Fully Packed Loop configurations in a triangle. Electron. J. Combin. 17 (2010), Research Paper 107. arXiv:0911.4617. bibTeX
  • P. Di Francesco , P. Zinn-Justin , J.-B. Zuber , Determinant formulae for some tiling problems and application to fully packed loops. Ann. Inst. Fourier (Grenoble) 55 (6) (2005), 2025-2050. arXiv:math-ph/0410002. bibTeX
  • P. Di Francesco , P. Zinn-Justin , J.-B. Zuber , A bijection between classes of fully packed loops and plane partitions. Electron. J. Combin. 11 (1) (2004), Research Paper 64, 11 pp. arXiv:math/0311220. bibTeX

    • Bethe Ansatz: (3 papers)

  • J. Jacobsen , P. Zinn-Justin , Algebraic Bethe Ansatz for the FPL^2 model. J. Phys. A 37 (29) (2004), 7213-7225. arXiv:math-ph/0402008. bibTeX
  • P. Zinn-Justin , Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebras. J. Phys. A 31 (31) (1998), 6747-6770. arXiv:hep-th/9712222. bibTeX
  • P. Zinn-Justin , N. Andrei , The generalized multi-channel Kondo model: thermodynamics and fusion equations. Nuclear Phys. B 528 (3) (1998), 648-682. arXiv:cond-mat/9801158. bibTeX

    • Percolation: (2 papers)

  • J. Jacobsen , P. Zinn-Justin , Monochromatic path crossing exponents and graph connectivity in 2D percolation. Phys. Rev. E 66 (R) (2002), 055102. arXiv:cond-mat/0207063. bibTeX
  • J. Jacobsen , P. Zinn-Justin , A transfer matrix for the backbone exponent of two-dimensional percolation. J. Phys. A 35 (9) (2002), 2131-2144. arXiv:cond-mat/0111374. bibTeX

    • Correlations of Eigenvalues of Random Matrices: (3 papers)

  • P. Zinn-Justin , Adding and multiplying random matrices: a generalization of Voiculescu's formulas. Phys. Rev. E (3) 59 (5, part A) (1999), 4884-4888. arXiv:math-ph/9810010. bibTeX
  • P. Zinn-Justin , Universality of correlation functions of Hermitian random matrices in an external field. Comm. Math. Phys. 194 (3) (1998), 631-650. arXiv:cond-mat/9705044. bibTeX
  • P. Zinn-Justin , Random Hermitian matrices in an external field. Nuclear Phys. B 497 (3) (1997), 725-732. arXiv:cond-mat/9703033. bibTeX