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)
A.  Knutson ,  P.  Zinn-Justin Schubert puzzles and integrability I: invariant trilinear forms(2017) @misc { artic71,
year = {2017},
arxiv = {1706.10019},
title = {Schubert puzzles and integrability {I}: invariant trilinear forms},
author = {Knutson, A. and Zinn-Justin, P.}
}

M.  Wheeler ,  P.  Zinn-Justin Littlewood–Richardson coefficients for Grothendieck polynomials from integrability(2016) @misc { artic68,
arxiv = {1607.02396},
year = {2016},
title = {{L}ittlewood--{R}ichardson coefficients for {G}rothendieck polynomials from integrability},
author = {Wheeler, M. and Zinn-Justin, P.}
}

M.  Wheeler ,  P.  Zinn-Justin Hall polynomials, inverse Kostka polynomials and puzzles(2016) @misc { artic67,
arxiv = {1603.01815},
year = {2016},
title = {{H}all polynomials, inverse {K}ostka polynomials and puzzles},
author = {Wheeler, M. and Zinn-Justin, P.}
}

R.  Behrend ,  P.  Di Francesco ,  P.  Zinn-Justin A doubly refined enumeration of Alternating Sign Matrices and Descending Plane PartitionsJ. Combin. Theory Ser. A 120 (2) (2013) 409–432@article { artic58,
fjournal = {Journal of Combinatorial Theory. Series A},
journal = {J. Combin. Theory Ser. A},
mrnumber = {2995049},
doi = {10.1016/j.jcta.2012.09.004},
year = {2013},
coden = {JCBTA7},
issn = {0097-3165},
pages = {409--432},
number = {2},
volume = {120},
arxiv = {1202.1520},
title = {A doubly refined enumeration of Alternating Sign Matrices and Descending Plane Partitions},
author = {Behrend, R. and Di Francesco, P. and Zinn-Justin, P.}
}

R.  Behrend ,  P.  Di Francesco ,  P.  Zinn-Justin On the weighted enumeration of Alternating Sign Matrices and Descending Plane PartitionsJ. Combin. Theory Ser. A 119 (2) (2012) 331–363@article { artic55,
arxiv = {1103.1176},
mrnumber = {2860598},
mrclass = {05A15 (05A17 05B20)},
coden = {JCBTA7},
doi = {10.1016/j.jcta.2011.09.004},
issn = {0097-3165},
year = {2012},
pages = {331--363},
number = {2},
volume = {119},
fjournal = {Journal of Combinatorial Theory. Series A},
journal = {J. Combin. Theory Ser. A},
title = {On the weighted enumeration of Alternating Sign Matrices and Descending Plane Partitions},
author = {Behrend, R. and Di Francesco, P. and Zinn-Justin, P.}
}

P.  Zinn-Justin Littlewood–Richardson coefficients and integrable tilingsElectron. J. Combin. 16 (2009) Research Paper 12@article { artic46,
pages = {Research Paper 12},
year = {2009},
volume = {16},
fjournal = {Electronic Journal of Combinatorics},
journal = {Electron. J. Combin.},
arxiv = {0809.2392},
title = {{L}ittlewood--{R}ichardson coefficients and integrable tilings},
author = {Zinn-Justin, P.}
}

T.  Fonseca ,  P.  Zinn-Justin On the Doubly Refined Enumeration of Alternating Sign Matrices and Totally Symmetric Self-Complementary Plane PartitionsElectron. J. Combin. 15 (2008) Research Paper 81, 35 pp@article { artic45,
mrnumber = {MR2411458},
mrclass = {05A15 (15A51 82B20)},
issn = {1077-8926},
pages = {Research Paper 81, 35 pp},
year = {2008},
volume = {15},
fjournal = {Electronic Journal of Combinatorics},
journal = {Electron. J. Combin.},
arxiv = {0803.1595},
title = {On the Doubly Refined Enumeration of {A}lternating {S}ign {M}atrices and
{T}otally {S}ymmetric {S}elf-{C}omplementary {P}lane {P}artitions},
author = {Fonseca, T. and Zinn-Justin, P.}
}

Geometry and Quantum Integrable models: (10 papers)
P.  Zinn-Justin Loop models and K-theory(2016) @misc { artic70,
arxiv = {1612.05361},
year = {2016},
title = {Loop models and {$K$}-theory},
author = {Zinn-Justin, P.}
}

A.  Knutson ,  P.  Zinn-Justin Grassmann–Grassmann conormal varieties, integrability and plane partitions(2016) @misc { artic69,
arxiv = {1612.04465},
year = {2016},
title = {{G}rassmann--{G}rassmann conormal varieties, integrability and plane partitions},
author = {Knutson, A. and Zinn-Justin, P.}
}

P.  Zinn-Justin Quiver varieties and the quantum Knizhnik–Zamolodchikov equationTheoretical and Mathematical Physics 185 (3) (2015) 1741–1758@article { artic64,
pages = {1741--1758},
publisher = {Pleiades Publishing},
doi = {10.1007/s11232-015-0376-x},
number = {3},
volume = {185},
journal = {Theoretical and Mathematical Physics},
issn = {0040-5779},
year = {2015},
arxiv = {1502.01093},
title = {Quiver varieties and the quantum {K}nizhnik--{Z}amolodchikov equation},
author = {Zinn-Justin, P.}
}

A.  Ponsaing ,  P.  Zinn-Justin Type C Brauer loop schemes and loop model with boundariesAnn. Henri Poincare 3 (2) (2016) 163–255@article { artic62,
fjournal = {Annales de l’Institut Henri Poincar\'e D},
pages = {163--255},
doi = {10.4171/AIHPD/28},
number = {2},
volume = {3},
year = {2016},
arxiv = {1410.0262},
journal = {Ann. Henri Poincar\'e},
title = {Type {$\hat{\mathrm C}$} {B}rauer loop schemes and loop model with boundaries},
author = {Ponsaing, A. and Zinn-Justin, P.}
}

R.  Rimanyi ,  V.  Tarasov ,  A.  Varchenko ,  P.  Zinn-Justin Extended Joseph polynomials, quantized conformal blocks, and a q-Selberg type integralJ. Geom. Phys. 62 (11) (2012) 2188–2207@article { artic56,
doi = {10.1016/j.geomphys.2012.06.008},
arxiv = {1110.2187},
mrnumber = {2964653},
mrclass = {81T40 (17B81)},
coden = {JGPHE5},
issn = {0393-0440},
pages = {2188--2207},
number = {11},
year = {2012},
volume = {62},
fjournal = {Journal of Geometry and Physics},
journal = {J. Geom. Phys.},
title = {Extended {J}oseph polynomials, quantized conformal blocks, and a {$q$}-{S}elberg type integral},
author = {Rim{\'a}nyi, R. and Tarasov, V. and Varchenko, A. and Zinn-Justin, P.}
}

A.  Knutson ,  P.  Zinn-Justin The Brauer loop scheme and orbital varietiesJ. Geom. Phys. 78 (2014) 80–110@article { artic39,
doi = {10.1016/j.geomphys.2014.01.006},
arxiv = {1001.3335},
pages = {80--110},
volume = {78},
fjournal = {Journal of Geometry and Physics},
journal = {J. Geom. Phys.},
year = {2014},
title = {The {B}rauer loop scheme and orbital varieties},
author = {Knutson, A. and Zinn-Justin, P.}
}

P.  Di Francesco ,  P.  Zinn-Justin From Orbital Varieties to Alternating Sign Matrices(2006) @misc { artic35,
year = {2006},
url = {http://www-igm.univ-mlv.fr/~fpsac/FPSAC06/SITE06/papers/60.pdf},
note = {extended abstract for FPSAC'06},
arxiv = {math-ph/0512047},
title = {From Orbital Varieties to Alternating Sign Matrices},
author = {Di Francesco, P. and Zinn-Justin, P.}
}

P.  Di Francesco ,  P.  Zinn-Justin Quantum Knizhnik–Zamolodchikov equation, generalized Razumov–Stroganov sum rules and extended Joseph polynomialsJ. Phys. A 38 (48) (2005) L815–L822@article { artic34,
doi = {10.1088/0305-4470/38/48/L02},
arxiv = {math-ph/0508059},
mrreviewer = {G. K. Giorgadze},
mrnumber = {MR2185933 (2006m:82019)},
mrclass = {82B20 (05A19 81R12 81R50)},
coden = {JPHAC5},
issn = {0305-4470},
pages = {L815--L822},
number = {48},
year = {2005},
volume = {38},
fjournal = {Journal of Physics. A. Mathematical and General},
journal = {J. Phys. A},
title = {Quantum {K}nizhnik--{Z}amolodchikov equation, generalized
{R}azumov--{S}troganov sum rules and extended {J}oseph
polynomials},
author = {Di Francesco, P. and Zinn-Justin, P.}
}

A.  Knutson ,  P.  Zinn-Justin A scheme related to the Brauer loop modelAdv. Math. 214 (1) (2007) 40–77@article { artic33,
arxiv = {math.AG/0503224},
mrreviewer = {Dmitri I. Panyushev},
mrnumber = {MR2348022 (2008j:14097)},
mrclass = {14M99 (14C17 82B20 82B23)},
coden = {ADMTA4},
issn = {0001-8708},
pages = {40--77},
number = {1},
year = {2007},
volume = {214},
fjournal = {Advances in Mathematics},
journal = {Adv. Math.},
title = {A scheme related to the {B}rauer loop model},
author = {Knutson, A. and Zinn-Justin, P.}
}

P.  Di Francesco ,  P.  Zinn-Justin Inhomogeneous model of crossing loops and multidegrees of some algebraic varietiesComm. Math. Phys. 262 (2) (2006) 459–487@article { artic32,
arxiv = {math-ph/0412031},
mrreviewer = {Sergei K. Lando},
mrnumber = {MR2200268 (2006k:82068)},
mrclass = {82B41},
coden = {CMPHAY},
issn = {0010-3616},
pages = {459--487},
number = {2},
year = {2006},
volume = {262},
fjournal = {Communications in Mathematical Physics},
journal = {Comm. Math. Phys.},
title = {Inhomogeneous model of crossing loops and multidegrees of some
algebraic varieties},
author = {Di Francesco, P. and Zinn-Justin, P.}
}

Quantum Knizhnik–Zamolodchikov equation: (13 papers)
P.  Finch ,  R.  Weston ,  P.  Zinn-Justin Theta function solutions of the quantum Knizhnik–Zamolodchikov–Bernard equation for a face modelJ. Phys. A 49 (6) (2016) @article { artic66,
doi = {10.1088/1751-8113/49/6/064001},
number = {6},
volume = {49},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
journal = {J. Phys. A},
arxiv = {1509.04594},
year = {2016},
title = {Theta function solutions of the quantum {K}nizhnik--{Z}amolodchikov--{B}ernard equation for a face model},
author = {Finch, P. and Weston, R. and Zinn-Justin, P.}
}

T.  Fonseca ,  P.  Zinn-Justin Higher spin polynomial solutions of quantum Knizhnik–Zamolodchikov equationComm. Math. Phys. 328 (3) (2014) 1079–1115@article { artic59,
doi = {10.1007/s00220-014-1963-7},
year = {2014},
pages = {1079--1115},
number = {3},
volume = {328},
fjournal = {Communications in Mathematical Physics},
journal = {Comm. Math. Phys.},
arxiv = {1212.4672},
title = {Higher spin polynomial solutions of quantum {K}nizhnik--{Z}amolodchikov
equation},
author = {Fonseca, T. and Zinn-Justin, P.}
}

P.  Zinn-Justin Sum rule for the eight-vertex model on its combinatorial lineSpringer Proceedings in Mathematics and Statistics in "Symmetries, Integrable systems and representations" 40 (2013) @inproceedings { artic57,
volume = {40},
year = {2013},
note = {Eds Iohara, Morier-Genoud, R{\'e}my},
arxiv = {1202.4420},
journal = {Springer Proceedings in Mathematics and Statistics},
booktitle = {Symmetries, Integrable systems and representations},
title = {Sum rule for the eight-vertex model on its combinatorial line},
author = {Zinn-Justin, P.}
}

T.  Fonseca ,  P.  Zinn-Justin On some ground state components of the O(1) loop modelJ. Stat. Mech. Theory Exp. (2009) P03025@article { artic47,
pages = {P03025},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
journal = {J. Stat. Mech. Theory Exp.},
year = {2009},
arxiv = {0901.1679},
title = {On some ground state components of the {$O(1)$} loop model},
author = {Fonseca, T. and Zinn-Justin, P.}
}

J. de Gier ,  P.  Pyatov ,  P.  Zinn-Justin Punctured plane partitions and the q-deformed Knizhnik–Zamolodchikov and Hirota equationsJ. Combin. Theory Ser. A 116 (4) (2009) 772–794@article { artic44,
arxiv = {0712.3584},
doi = {10.1016/j.jcta.2008.11.008},
mrnumber = {2513634 (2010k:05028)},
mrclass = {05A17 (33D80 39A13)},
coden = {JCBTA7},
issn = {0097-3165},
pages = {772--794},
number = {4},
year = {2009},
volume = {116},
fjournal = {Journal of Combinatorial Theory. Series A},
journal = {J. Combin. Theory Ser. A},
title = {Punctured plane partitions and the {$q$}-deformed {K}nizhnik--{Z}amolodchikov and {H}irota equations},
author = {de Gier, J. and Pyatov, P. and Zinn-Justin, P.}
}

P.  Di Francesco ,  P.  Zinn-Justin Quantum Knizhnik–Zamolodchikov equation: reflecting boundary conditions and combinatoricsJ. Stat. Mech. Theory Exp. (12) (2007) P12009, 30 pp@article { artic43,
doi = {10.1088/1742-5468/2007/12/P12009},
arxiv = {0709.3410},
mrnumber = {MR2367185},
mrclass = {81R12 (82B20 82B23 82D60)},
issn = {1742-5468},
pages = {P12009, 30 pp},
number = {12},
year = {2007},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
journal = {J. Stat. Mech. Theory Exp.},
title = {Quantum {K}nizhnik--{Z}amolodchikov equation: reflecting
boundary conditions and combinatorics},
author = {Di Francesco, P. and Zinn-Justin, P.}
}

A.  Razumov ,  Yu.  Stroganov ,  P.  Zinn-Justin Polynomial solutions of qKZ equation and ground state of XXZ spin chain at =-1/2J. Phys. A 40 (39) (2007) 11827–11847@article { artic42,
doi = {10.1088/1751-8113/40/39/009},
arxiv = {0704.3542},
mrnumber = {MR2374053},
mrclass = {81R12 (17B81 81R10 82B20 82B23)},
issn = {1751-8113},
pages = {11827--11847},
number = {39},
year = {2007},
volume = {40},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
journal = {J. Phys. A},
title = {Polynomial solutions of {$q$KZ} equation and ground state of
{$XXZ$} spin chain at {$\Delta=-1/2$}},
author = {Razumov, A. and Stroganov, Yu. and Zinn-Justin, P.}
}

P.  Di Francesco ,  P.  Zinn-Justin Quantum Knizhnik–Zamolodchikov equation, Totally Symmetric Self-Complementary Plane Partitions and Alternating Sign MatricesTheor. Math. Phys. 154 (3) (2008) 331–348@article { artic41,
doi = {10.1007/s11232-008-0031-x},
number = {3},
volume = {154},
pages = {331--348},
year = {2008},
fjournal = {Theoretical and Mathematical Physics},
journal = {Theor. Math. Phys.},
arxiv = {math-ph/0703015},
title = {Quantum {K}nizhnik--{Z}amolodchikov equation, {T}otally {S}ymmetric {S}elf-{C}omplementary {P}lane {P}artitions and {A}lternating {S}ign {M}atrices},
author = {Di Francesco, P. and Zinn-Justin, P.}
}

P.  Zinn-Justin Loop model with mixed boundary conditions, qKZ equation and alternating sign matricesJ. Stat. Mech. Theory Exp. (1) (2007) P01007, 16 pp@article { artic40,
doi = {10.1088/1742-5468/2007/01/P01007},
arxiv = {math-ph/0610067},
mrreviewer = {Alexei P. Isaev},
mrnumber = {MR2284004},
mrclass = {82B23 (05A15 82B20)},
issn = {1742-5468},
pages = {P01007, 16 pp},
number = {1},
year = {2007},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
journal = {J. Stat. Mech. Theory Exp.},
title = {Loop model with mixed boundary conditions, {$q$KZ}
equation and alternating sign matrices},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin Proof of the Razumov–Stroganov conjecture for some infinite families of link patternsElectron. J. Combin. 13 (1) (2006) Research Paper 110, 15 pp@article { artic38,
arxiv = {math/0607183},
mrreviewer = {Azer Kerimov},
mrnumber = {MR2274325 (2007k:82034)},
mrclass = {82B23 (05A19 52C20)},
issn = {1077-8926},
pages = {Research Paper 110, 15 pp},
number = {1},
year = {2006},
volume = {13},
fjournal = {Electronic Journal of Combinatorics},
journal = {Electron. J. Combin.},
title = {Proof of the {R}azumov--{S}troganov conjecture for some
infinite families of link patterns},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin Combinatorial point for fused loop modelsComm. Math. Phys. 272 (3) (2007) 661–682@article { artic37,
doi = {10.1007/s00220-007-0225-3},
arxiv = {math-ph/0603018},
mrnumber = {MR2304471},
mrclass = {05Exx (17Bxx 82B20 82B23)},
coden = {CMPHAY},
issn = {0010-3616},
pages = {661--682},
number = {3},
year = {2007},
volume = {272},
fjournal = {Communications in Mathematical Physics},
journal = {Comm. Math. Phys.},
title = {Combinatorial point for fused loop models},
author = {Zinn-Justin, P.}
}

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 ChainJ. Stat. Mech. (2006) P08011@article { artic36,
doi = {10.1088/1742-5468/2006/08/P08011},
year = {2006},
arxiv = {math-ph/0603009},
pages = {P08011},
journal = {J. Stat. Mech.},
title = {Sum Rules for the Ground States of the {$O(1)$} Loop Model on a Cylinder and the {XXZ} Spin Chain},
author = {Francesco, P. Di and Zinn-Justin, P. and Zuber, J.-B.}
}

P.  Di Francesco ,  P.  Zinn-Justin Around the Razumov–Stroganov conjecture: proof of a multi-parameter sum ruleElectron. J. Combin. 12 (2005) Research Paper 6, 27 pp@article { artic31,
url = {http://www.combinatorics.org/Volume_12/Abstracts/v12i1r6.html},
arxiv = {math-ph/0410061},
mrreviewer = {Sergei K. Lando},
mrnumber = {MR2134169 (2005m:82017)},
mrclass = {82B20 (05A19 52C20)},
issn = {1077-8926},
pages = {Research Paper 6, 27 pp},
year = {2005},
volume = {12},
fjournal = {Electronic Journal of Combinatorics},
journal = {Electron. J. Combin.},
title = {Around the {R}azumov--{S}troganov conjecture: proof of a
multi-parameter sum rule},
author = {Di Francesco, P. and Zinn-Justin, P.}
}

Six-Vertex model: (7 papers)
M.  Wheeler ,  P.  Zinn-Justin Refined Cauchy/Littlewood identities and six-vertex model partition functions: III. Deformed bosonsAdv. Math. 299 (2016) 543–600@article { artic65,
abstract = {Abstract We study Hall–Littlewood polynomials using an integrable lattice model of t-deformed bosons. Working with row-to-row transfer matrices, we review the construction of Hall–Littlewood polynomials (of the A n root system) within the framework of this model. Introducing appropriate double-row transfer matrices, we extend this formalism to Hall–Littlewood polynomials based on the B C n root system, and obtain a new combinatorial formula for them. We then apply our methods to prove a series of refined Cauchy and Littlewood identities involving Hall–Littlewood polynomials. The last two of these identities are new, and relate infinite sums over hyperoctahedrally symmetric Hall–Littlewood polynomials with partition functions of the six-vertex model on finite domains.},
keywords = {Cauchy and Littlewood identities},
doi = {10.1016/j.aim.2016.05.010},
issn = {0001-8708},
pages = {543--600},
volume = {299},
fjournal = {Advances in Mathematics},
journal = {Adv. Math.},
year = {2016},
arxiv = {1508.02236},
title = {Refined {C}auchy/{L}ittlewood identities and six-vertex model partition
functions: {III}. Deformed bosons},
author = {Wheeler, M. and Zinn-Justin, P.}
}

D.  Betea ,  M.  Wheeler ,  P.  Zinn-Justin Refined Cauchy/Littlewood identities and six-vertex model partition functions: II. Proofs and new conjecturesJournal of Algebraic Combinatorics (2015) 1–49@article { artic61,
pages = {1--49},
journal = {Journal of Algebraic Combinatorics},
issn = {0925-9899},
doi = {10.1007/s10801-015-0592-3},
year = {2015},
arxiv = {1405.7035},
title = {Refined {C}auchy/{L}ittlewood identities and six-vertex model partition functions: {II}. Proofs and new conjectures},
author = {Betea, D. and Wheeler, M. and Zinn-Justin, P.}
}

F.  Colomo ,  G.  Pronko ,  P.  Zinn-Justin The arctic curve of the domain-wall six-vertex model in its anti-ferroelectric regimeJ. Stat. Mech. Theory Exp. (2010) L03002@article { artic53,
pages = {L03002},
fjournal = {Journal of Statistical Mechanics: Theory and Experiment},
journal = {J. Stat. Mech. Theory Exp.},
arxiv = {1001.2189},
year = {2010},
title = {The arctic curve of the domain-wall six-vertex model in its
anti-ferroelectric regime},
author = {Colomo, F. and Pronko, G. and Zinn-Justin, P.}
}

P.  Zinn-Justin The Influence of Boundary Conditions in the Six-Vertex Model(2002) @unpublished { artic20,
year = {2002},
note = {unpublished preprint},
arxiv = {cond-mat/0205192},
title = {The Influence of Boundary Conditions in the Six-Vertex Model},
author = {Zinn-Justin, P.}
}

V.  Korepin ,  P.  Zinn-Justin Inhomogeneous six-vertex model with domain wall boundary conditions and Bethe AnsatzJ. Math. Phys. 43 (6) (2002) 3261–3267@article { artic14,
arxiv = {nlin.SI/0008030},
mrreviewer = {Katherine A. Seaton},
mrnumber = {MR1902479 (2003g:82021)},
mrclass = {82B20 (82B23)},
coden = {JMAPAQ},
issn = {0022-2488},
pages = {3261--3267},
number = {6},
year = {2002},
volume = {43},
fjournal = {Journal of Mathematical Physics},
journal = {J. Math. Phys.},
title = {Inhomogeneous six-vertex model with domain wall boundary
conditions and {B}ethe {A}nsatz},
author = {Korepin, V. and Zinn-Justin, P.}
}

P.  Zinn-Justin Six-vertex model with domain wall boundary conditions and one-matrix modelPhys. Rev. E 62 (3, part A) (2000) 3411–3418@article { artic13,
arxiv = {math-ph/0005008},
mrnumber = {MR1788950 (2001g:82037)},
mrclass = {82B20 (82B23)},
coden = {PLEEE8},
issn = {1539-3755},
pages = {3411--3418},
number = {3, part A},
year = {2000},
volume = {62},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
journal = {Phys. Rev. E},
title = {Six-vertex model with domain wall boundary conditions and
one-matrix model},
author = {Zinn-Justin, P.}
}

V.  Korepin ,  P.  Zinn-Justin Thermodynamic limit of the six-vertex model with domain wall boundary conditionsJ. Phys. A 33 (40) (2000) 7053–7066@article { artic12,
doi = {10.1088/0305-4470/33/40/304},
arxiv = {cond-mat/0004250},
mrreviewer = {Yvan Velenik},
mrnumber = {MR1792450 (2001h:82018)},
mrclass = {82B20 (82B23)},
coden = {JPHAC5},
issn = {0305-4470},
pages = {7053--7066},
number = {40},
year = {2000},
volume = {33},
fjournal = {Journal of Physics. A. Mathematical and General},
journal = {J. Phys. A},
title = {Thermodynamic limit of the six-vertex model with domain wall
boundary conditions},
author = {Korepin, V. and Zinn-Justin, P.}
}

Random Matrix Theory: (4 papers)
P.  Forrester ,  L.  Dang-Zheng ,  P.  Zinn-Justin Equilibrium problems for Raney densitiesNonlinearity 28 (7) (2015) 2265@article { artic63,
year = {2015},
doi = {10.1088/0951-7715/28/7/2265},
pages = {2265},
number = {7},
volume = {28},
journal = {Nonlinearity},
arxiv = {1411.4091},
title = {Equilibrium problems for {R}aney densities},
author = {Forrester, P. and Dang-Zheng, L. and Zinn-Justin, P.}
}

P.  Zinn-Justin Adding and multiplying random matrices: a generalization of Voiculescu's formulasPhys. Rev. E (3) 59 (5, part A) (1999) 4884–4888@article { artic06,
arxiv = {math-ph/9810010},
mrnumber = {MR1682207 (2000h:82043)},
mrclass = {82B41 (46L53 46L60)},
coden = {PLEEE8},
issn = {1539-3755},
pages = {4884--4888},
number = {5, part A},
year = {1999},
volume = {59},
fjournal = {Physical Review E. Statistical, Nonlinear, and Soft Matter
Physics},
journal = {Phys. Rev. E (3)},
title = {Adding and multiplying random matrices: a generalization of
{V}oiculescu's formulas},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin Universality of correlation functions of Hermitian random matrices in an external fieldComm. Math. Phys. 194 (3) (1998) 631–650@article { artic02,
arxiv = {cond-mat/9705044},
mrreviewer = {Aernout C. D. van Enter},
mrnumber = {MR1631489 (2000e:82029a)},
mrclass = {82B44 (60H25 82D30)},
coden = {CMPHAY},
issn = {0010-3616},
pages = {631--650},
number = {3},
year = {1998},
volume = {194},
fjournal = {Communications in Mathematical Physics},
journal = {Comm. Math. Phys.},
title = {Universality of correlation functions of {H}ermitian random
matrices in an external field},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin Random Hermitian matrices in an external fieldNuclear Phys. B 497 (3) (1997) 725–732@article { artic01,
arxiv = {cond-mat/9703033},
mrreviewer = {Aernout C. D. van Enter},
mrnumber = {MR1463645 (98k:82100)},
mrclass = {82B44 (82B41)},
coden = {NUPBBO},
issn = {0550-3213},
pages = {725--732},
number = {3},
year = {1997},
volume = {497},
fjournal = {Nuclear Physics. B},
journal = {Nuclear Phys. B},
title = {Random {H}ermitian matrices in an external field},
author = {Zinn-Justin, P.}
}

Discrete holomorphicity: (1 papers)
Y.  Ikhlef ,  R.  Weston ,  M.  Wheeler ,  P.  Zinn-Justin Discrete holomorphicity and quantized affine algebrasJ. Phys. A 46 (26) (2013) 265205@article { artic60,
doi = {10.1088/1751-8113/46/26/265205},
number = {26},
volume = {46},
fjournal = {Journal of Physics. A. Mathematical and Theoretical},
journal = {J. Phys. A},
pages = {265205},
year = {2013},
arxiv = {1302.4649},
title = {Discrete holomorphicity and quantized affine algebras},
author = {Ikhlef, Y. and Weston, R. and Wheeler, M. and Zinn-Justin, P.}
}

Statistical Models on Random Lattices: (5 papers)
A.  Guionnet ,  V.  Jones ,  D.  Shlyakhtenko ,  P.  Zinn-Justin Loop models, random matrices and planar algebrasComm. Math. Phys. 316 (1) (2012) 45–97@article { artic54,
year = {2012},
arxiv = {1012.0619},
doi = {10.1007/s00220-012-1573-1},
mrnumber = {2989453},
mrclass = {82Bxx (46Lxx 60B20)},
coden = {CMPHAY},
issn = {0010-3616},
pages = {45--97},
number = {1},
volume = {316},
fjournal = {Communications in Mathematical Physics},
journal = {Comm. Math. Phys.},
title = {Loop models, random matrices and planar algebras},
author = {Guionnet, A. and Jones, V. and Shlyakhtenko, D. and Zinn-Justin, P.}
}

P.  Zinn-Justin The asymmetric ABAB matrix modelEurophys. Lett. 64 (6) (2003) 737–742@article { artic26,
arxiv = {hep-th/0308132},
mrnumber = {MR2030895 (2005a:82043)},
mrclass = {82B41 (83C80)},
issn = {0295-5075},
pages = {737--742},
number = {6},
year = {2003},
volume = {64},
fjournal = {Europhysics Letters},
journal = {Europhys. Lett.},
title = {The asymmetric {$ABAB$} matrix model},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin The six-vertex model on random latticesEurophys. Lett. 50 (1) (2000) 15–21@article { artic10,
arxiv = {cond-mat/9909250},
mrnumber = {MR1747830 (2001a:82046)},
mrclass = {82B44 (81T40 82B20)},
issn = {0295-5075},
pages = {15--21},
number = {1},
year = {2000},
volume = {50},
fjournal = {Europhysics Letters},
journal = {Europhys. Lett.},
title = {The six-vertex model on random lattices},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin The dilute Potts model on random surfacesJ. Statist. Phys. 98 (1-2) (2000) j10–264@article { artic07,
arxiv = {cond-mat/9903385},
mrnumber = {MR1745840 (2002a:82067)},
mrclass = {82B44 (82B20)},
coden = {JSTPSB},
issn = {0022-4715},
pages = {j10--264},
number = {1-2},
year = {2000},
volume = {98},
fjournal = {Journal of Statistical Physics},
journal = {J. Statist. Phys.},
title = {The dilute {P}otts model on random surfaces},
author = {Zinn-Justin, P.}
}

V.  Kazakov ,  P.  Zinn-Justin Two-matrix model with ABAB interactionNuclear Phys. B 546 (3) (1999) 647–668@article { artic05,
arxiv = {hep-th/9808043},
mrnumber = {MR1690386 (2000i:81083)},
mrclass = {81T10 (81T40)},
coden = {NUPBBO},
issn = {0550-3213},
pages = {647--668},
number = {3},
year = {1999},
volume = {546},
fjournal = {Nuclear Physics. B},
journal = {Nuclear Phys. B},
title = {Two-matrix model with {$ABAB$} interaction},
author = {Kazakov, V. and Zinn-Justin, P.}
}

Kazhdan–Lusztig polynomials: (1 papers)
K.  Shigechi ,  P.  Zinn-Justin Path representation of maximal parabolic Kazhdan–Lusztig polynomialsJ. Pure Appl. Algebra 216 (11) (2012) 2533–2548@article { artic52,
doi = {10.1016/j.jpaa.2012.03.027},
arxiv = {1001.1080},
mrnumber = {2927185},
mrclass = {20C08 (05E15)},
coden = {JPAAA2},
issn = {0022-4049},
pages = {2533--2548},
number = {11},
year = {2012},
volume = {216},
fjournal = {Journal of Pure and Applied Algebra},
journal = {J. Pure Appl. Algebra},
title = {Path representation of maximal parabolic {K}azhdan--{L}usztig polynomials},
author = {Shigechi, K. and Zinn-Justin, P.}
}

Integrals over (quantum) groups: (4 papers)
P.  Zinn-Justin Jucys–Murphy elements and Weingarten matricesLett. Math. Phys. 91 (2) (2010) 119–127@article { artic51,
arxiv = {0907.2719},
doi = {10.1007/s11005-009-0365-9},
mrreviewer = {Marius T{\u{a}}rn{\u{a}}uceanu},
mrnumber = {2586868 (2011b:20139)},
mrclass = {20G20 (05E10)},
coden = {LMPHDY},
issn = {0377-9017},
pages = {119--127},
number = {2},
year = {2010},
volume = {91},
fjournal = {Letters in Mathematical Physics. A Journal for the Rapid
Dissemination of Short Contributions in the Field of
Mathematical Physics},
journal = {Lett. Math. Phys.},
title = {{J}ucys--{M}urphy elements and {W}eingarten matrices},
author = {Zinn-Justin, P.}
}

T.  Banica ,  B.  Collins ,  P.  Zinn-Justin Spectral analysis of the free orthogonal matrixInt. Math. Res. Not. 17 (2009) 3286–3309@article { artic48,
pages = {3286--3309},
volume = {17},
fjournal = {International Mathematics Research Notices},
journal = {Int. Math. Res. Not.},
doi = {10.1093/imrn/rnp054},
year = {2009},
arxiv = {0901.1918},
title = {Spectral analysis of the free orthogonal matrix},
author = {Banica, T. and Collins, B. and Zinn-Justin, P.}
}

P.  Zinn-Justin ,  J.-B.  Zuber On some integrals over the U(N) unitary group and their large N limitJ. Phys. A 36 (12) (2003) 3173–3193@article { artic23,
arxiv = {math-ph/0209019},
mrnumber = {MR1986413 (2006c:82029)},
mrclass = {82B41 (15A90 60C05)},
coden = {JPHAC5},
issn = {0305-4470},
pages = {3173--3193},
number = {12},
year = {2003},
volume = {36},
fjournal = {Journal of Physics. A. Mathematical and General},
journal = {J. Phys. A},
note = {special issue on Random Matrix Theory},
title = {On some integrals over the {$U(N)$} unitary group and
their large {$N$} limit},
author = {Zinn-Justin, P. and Zuber, J.-B.}
}

P.  Zinn-Justin HCIZ integral and 2D Toda lattice hierarchyNuclear Phys. B 634 (3) (2002) 417–432@article { artic21,
arxiv = {math-ph/0202045},
mrreviewer = {Nenad Manojlovi{\'c}},
mrnumber = {MR1912027 (2003f:81113)},
mrclass = {81R12 (37K10 37K60 81T10)},
coden = {NUPBBO},
issn = {0550-3213},
pages = {417--432},
number = {3},
year = {2002},
volume = {634},
fjournal = {Nuclear Physics. B},
journal = {Nuclear Phys. B},
title = {H{CIZ} integral and 2{D} {T}oda lattice hierarchy},
author = {Zinn-Justin, P.}
}

Knot Enumeration: (12 papers)
P.  Zinn-Justin ,  J.-B.  Zuber Knot theory and matrix integralsin "The Oxford Handbook of Random Matrix Theory" (2011) @incollection { artic50,
arxiv = {1006.1812},
note = {Eds Akemann, Baik and Di Francesco},
booktitle = {The Oxford Handbook of Random Matrix Theory},
year = {2011},
title = {Knot theory and matrix integrals},
author = {Zinn-Justin, P. and Zuber, J.-B.}
}

P.  Zinn-Justin Conjectures on the enumeration of alternating linksin "Physical and numerical models in knot theory" 36 (2005) 597–606@incollection { artic29,
mrreviewer = {Goulnara N. Arzhantseva},
mrnumber = {MR2197960 (2006j:57024)},
mrclass = {57M25 (05A16 05C10)},
year = {2005},
publisher = {World Sci. Publ., Singapore},
pages = {597--606},
volume = {36},
series = {Ser. Knots Everything},
booktitle = {Physical and numerical models in knot theory},
title = {Conjectures on the enumeration of alternating links},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin ,  J.-B.  Zuber Matrix integrals and the generation and counting of virtual tangles and linksJ. Knot Theory Ramifications 13 (3) (2004) 325–355@article { artic25,
arxiv = {math-ph/0303049},
mrreviewer = {Gw{\'e}na{\"e}l Massuyeau},
mrnumber = {MR2061172 (2005d:57003)},
mrclass = {57M15 (05C30 57M25 81T18)},
issn = {0218-2165},
pages = {325--355},
number = {3},
year = {2004},
volume = {13},
fjournal = {Journal of Knot Theory and its Ramifications},
journal = {J. Knot Theory Ramifications},
title = {Matrix integrals and the generation and counting of virtual
tangles and links},
author = {Zinn-Justin, P. and Zuber, J.-B.}
}

G.  Schaeffer ,  P.  Zinn-Justin On the asymptotic number of plane curves and alternating knotsExperiment. Math. 13 (4) (2004) 483–493@article { artic24,
arxiv = {math-ph/0304034},
mrreviewer = {Valery A. Liskovets},
mrnumber = {MR2118273 (2006d:05018)},
mrclass = {05A16 (05C30 57M25 83C80)},
issn = {1058-6458},
pages = {483--493},
number = {4},
year = {2004},
volume = {13},
fjournal = {Experimental Mathematics},
journal = {Experiment. Math.},
title = {On the asymptotic number of plane curves and alternating
knots},
author = {Schaeffer, G. and Zinn-Justin, P.}
}

J.  Jacobsen ,  P.  Zinn-Justin Matrix models and the enumeration of alternating tanglesMarkov Process. Related Fields 9 (2) (2003) 301–310@article { artic18b,
mrreviewer = {Sergei K. Lando},
mrnumber = {MR2013665 (2004i:57006)},
mrclass = {57M25 (05C30 82B44)},
issn = {1024-2953},
pages = {301--310},
number = {2},
year = {2003},
volume = {9},
fjournal = {Markov Processes and Related Fields},
journal = {Markov Process. Related Fields},
note = {proceedings of ``Inhomogeneous random systems'' (Cergy-Pontoise, 2002)},
title = {Matrix models and the enumeration of alternating tangles},
author = {Jacobsen, J. and Zinn-Justin, P.}
}

J.  Jacobsen ,  P.  Zinn-Justin The combinatorics of alternating tangles: from theory to computerized enumerationin "Asymptotic combinatorics with application to mathematical physics (St. Petersburg, 2001)" 77 (2002) 97–112@incollection { artic18,
arxiv = {math-ph/0111011},
mrnumber = {MR1999357 (2004h:57009)},
mrclass = {57M25 (05A15)},
year = {2002},
address = {Dordrecht},
publisher = {Kluwer Acad. Publ.},
pages = {97--112},
volume = {77},
series = {NATO Sci. Ser. II Math. Phys. Chem.},
booktitle = {Asymptotic combinatorics with application to mathematical
physics ({S}t. {P}etersburg, 2001)},
title = {The combinatorics of alternating tangles: from theory to
computerized enumeration},
author = {Jacobsen, J. and Zinn-Justin, P.}
}

P.  Zinn-Justin The general O(n) quartic matrix model and its application to counting tangles and linksComm. Math. Phys. 238 (1-2) (2003) 287–304@article { artic17,
arxiv = {math-ph/0106005},
mrreviewer = {Richard Kenyon},
mrnumber = {MR1990878 (2004d:57014)},
mrclass = {57M25 (81T99)},
coden = {CMPHAY},
issn = {0010-3616},
pages = {287--304},
number = {1-2},
year = {2003},
volume = {238},
fjournal = {Communications in Mathematical Physics},
journal = {Comm. Math. Phys.},
title = {The general {$O(n)$} quartic matrix model and its
application to counting tangles and links},
author = {Zinn-Justin, P.}
}

J.  Jacobsen ,  P.  Zinn-Justin A transfer matrix approach to the enumeration of colored linksJ. Knot Theory Ramifications 10 (8) (2001) 1233–1267@article { artic16,
arxiv = {math-ph/0104009},
mrnumber = {MR1871228 (2003h:57009)},
mrclass = {57M25 (82B20)},
issn = {0218-2165},
pages = {1233--1267},
number = {8},
year = {2001},
volume = {10},
fjournal = {Journal of Knot Theory and its Ramifications},
journal = {J. Knot Theory Ramifications},
title = {A transfer matrix approach to the enumeration of colored
links},
author = {Jacobsen, J. and Zinn-Justin, P.}
}

J.  Jacobsen ,  P.  Zinn-Justin A transfer matrix approach to the enumeration of knotsJ. Knot Theory Ramifications 11 (5) (2002) 739–758@article { artic15,
arxiv = {math-ph/0102015},
mrreviewer = {Yuanan Diao},
mrnumber = {MR1918811 (2003f:57014)},
mrclass = {57M25},
issn = {0218-2165},
pages = {739--758},
number = {5},
year = {2002},
volume = {11},
fjournal = {Journal of Knot Theory and its Ramifications},
journal = {J. Knot Theory Ramifications},
title = {A transfer matrix approach to the enumeration of knots},
author = {Jacobsen, J. and Zinn-Justin, P.}
}

P.  Zinn-Justin ,  J.-B.  Zuber On the counting of colored tanglesJ. Knot Theory Ramifications 9 (8) (2000) 1127–1141@article { artic11,
arxiv = {math-ph/0002020},
mrreviewer = {Alexander Zvonkin},
mrnumber = {MR1807611 (2002b:57008)},
mrclass = {57M25 (05C30 15A52 81T18)},
issn = {0218-2165},
pages = {1127--1141},
number = {8},
year = {2000},
volume = {9},
fjournal = {Journal of Knot Theory and its Ramifications},
journal = {J. Knot Theory Ramifications},
title = {On the counting of colored tangles},
author = {Zinn-Justin, P. and Zuber, J.-B.}
}

P.  Zinn-Justin Some matrix integrals related to knots and linksin "Random matrix models and their applications" 40 (2001) 421–438@incollection { artic09,
arxiv = {math-ph/9910010},
oldnote = {proceedings of the 1999 semester at the MSRI},
mrreviewer = {Saburo Higuchi},
mrnumber = {MR1842796 (2002m:82031)},
mrclass = {82B41 (57M27 60B15 83C27)},
year = {2001},
address = {Cambridge},
publisher = {Cambridge Univ. Press},
pages = {421--438},
volume = {40},
series = {Math. Sci. Res. Inst. Publ.},
booktitle = {Random matrix models and their applications},
title = {Some matrix integrals related to knots and links},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin ,  J.-B.  Zuber Matrix integrals and the counting of tangles and linksDiscrete Math. 246 (1-3) (2002) 343–360@article { artic08,
arxiv = {math-ph/9904019},
mrnumber = {MR1887495 (2003i:57019)},
mrclass = {57M25 (05A15 81Q30 81T18)},
coden = {DSMHA4},
issn = {0012-365X},
pages = {343--360},
number = {1-3},
year = {2002},
volume = {246},
fjournal = {Discrete Mathematics},
journal = {Discrete Math.},
oldnote = {proceedings of ``Formal power series and algebraic combinatorics'' (Barcelona, 1999)},
title = {Matrix integrals and the counting of tangles and links},
author = {Zinn-Justin, P. and Zuber, J.-B.}
}

Fully Packed Loops: (3 papers)
P.  Zinn-Justin A conjectured formula for Fully Packed Loop configurations in a triangleElectron. J. Combin. 17 (2010) Research Paper 107@article { artic49,
pages = {Research Paper 107},
year = {2010},
volume = {17},
fjournal = {Electronic Journal of Combinatorics},
journal = {Electron. J. Combin.},
arxiv = {0911.4617},
title = {A conjectured formula for {F}ully {P}acked {L}oop configurations in a triangle},
author = {Zinn-Justin, P.}
}

P.  Di Francesco ,  P.  Zinn-Justin ,  J.-B.  Zuber Determinant formulae for some tiling problems and application to fully packed loopsAnn. Inst. Fourier (Grenoble) 55 (6) (2005) 2025–2050@article { artic30,
arxiv = {math-ph/0410002},
mrreviewer = {David M. Bressoud},
mrnumber = {MR2187944 (2007f:05037)},
mrclass = {05B45 (05A19 05E05 52C20 82B20)},
coden = {AIFUA7},
issn = {0373-0956},
pages = {2025--2050},
number = {6},
year = {2005},
volume = {55},
fjournal = {Universit\'e de Grenoble. Annales de l'Institut Fourier},
journal = {Ann. Inst. Fourier (Grenoble)},
title = {Determinant formulae for some tiling problems and application
to fully packed loops},
author = {Di Francesco, P. and Zinn-Justin, P. and Zuber, J.-B.}
}

P.  Di Francesco ,  P.  Zinn-Justin ,  J.-B.  Zuber A bijection between classes of fully packed loops and plane partitionsElectron. J. Combin. 11 (1) (2004) Research Paper 64, 11 pp@article { artic27,
arxiv = {math/0311220},
mrreviewer = {Christian Krattenthaler},
mrnumber = {MR2097330 (2006d:05021)},
mrclass = {05A19},
issn = {1077-8926},
pages = {Research Paper 64, 11 pp},
number = {1},
year = {2004},
volume = {11},
fjournal = {Electronic Journal of Combinatorics},
journal = {Electron. J. Combin.},
title = {A bijection between classes of fully packed loops and plane
partitions},
author = {Di Francesco, P. and Zinn-Justin, P. and Zuber, J.-B.}
}

Bethe Ansatz: (3 papers)
J.  Jacobsen ,  P.  Zinn-Justin Algebraic Bethe Ansatz for the FPL^2 modelJ. Phys. A 37 (29) (2004) 7213–7225@article { artic28,
doi = {10.1088/0305-4470/37/29/004},
arxiv = {math-ph/0402008},
mrreviewer = {Yao Zhong Zhang},
mrnumber = {MR2078954 (2005e:82014)},
mrclass = {82B20 (81R50 82B23)},
coden = {JPHAC5},
issn = {0305-4470},
pages = {7213--7225},
number = {29},
year = {2004},
volume = {37},
fjournal = {Journal of Physics. A. Mathematical and General},
journal = {J. Phys. A},
title = {Algebraic {B}ethe {A}nsatz for the {FPL$^2$} model},
author = {Jacobsen, J. and Zinn-Justin, P.}
}

P.  Zinn-Justin Nonlinear integral equations for complex affine Toda models associated with simply laced Lie algebrasJ. Phys. A 31 (31) (1998) 6747–6770@article { artic04,
arxiv = {hep-th/9712222},
mrreviewer = {Andrey V. Tsiganov},
mrnumber = {MR1643832 (99k:82017)},
mrclass = {82B20 (17B81 81R50 82B23)},
coden = {JPHAC5},
issn = {0305-4470},
pages = {6747--6770},
number = {31},
year = {1998},
volume = {31},
fjournal = {Journal of Physics. A. Mathematical and General},
journal = {J. Phys. A},
title = {Nonlinear integral equations for complex affine {T}oda models
associated with simply laced {L}ie algebras},
author = {Zinn-Justin, P.}
}

P.  Zinn-Justin ,  N.  Andrei The generalized multi-channel Kondo model: thermodynamics and fusion equationsNuclear Phys. B 528 (3) (1998) 648–682@article { artic03,
arxiv = {cond-mat/9801158},
mrnumber = {MR1643667 (2000i:82085)},
mrclass = {82D35 (81R50 82B10)},
coden = {NUPBBO},
issn = {0550-3213},
pages = {648--682},
number = {3},
year = {1998},
volume = {528},
fjournal = {Nuclear Physics. B},
journal = {Nuclear Phys. B},
title = {The generalized multi-channel {K}ondo model: thermodynamics
and fusion equations},
author = {Zinn-Justin, P. and Andrei, N.}
}

Percolation: (2 papers)
J.  Jacobsen ,  P.  Zinn-Justin Monochromatic path crossing exponents and graph connectivity in 2D percolationPhys. Rev. E 66 (R) (2002) 055102@article { artic22,
arxiv = {cond-mat/0207063},
pages = {055102},
number = {R},
year = {2002},
volume = {66},
journal = {Phys. Rev. E},
title = {Monochromatic path crossing exponents and graph connectivity in 2D percolation},
author = {Jacobsen, J. and Zinn-Justin, P.}
}

J.  Jacobsen ,  P.  Zinn-Justin A transfer matrix for the backbone exponent of two-dimensional percolationJ. Phys. A 35 (9) (2002) 2131–2144@article { artic19,
arxiv = {cond-mat/0111374},
mrnumber = {MR1908712 (2003e:82033)},
mrclass = {82B43},
coden = {JPHAC5},
issn = {0305-4470},
pages = {2131--2144},
number = {9},
year = {2002},
volume = {35},
fjournal = {Journal of Physics. A. Mathematical and General},
journal = {J. Phys. A},
title = {A transfer matrix for the backbone exponent of two-dimensional
percolation},
author = {Jacobsen, J. and Zinn-Justin, P.}
}