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On the Counting of Fully Packed Loop Configurations. Some new conjectures

Jean-Bernard Zuber
The Electronic Journal of Combinatorics, 2004, 114, pp.R13
Journal articles hal-00007955v1

Multicritical continuous random trees

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Journal of Statistical Mechanics: Theory and Experiment, 2006, 2006 (04), pp.P04004. ⟨10.1088/1742-5468/2006/04/P04004⟩
Journal articles hal-00586655v1

Random trees between two walls: exact partition function

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Journal of Physics A: Mathematical and General (1975 - 2006), 2003, 36 (50), pp.12349 - 12366. ⟨10.1088/0305-4470/36/50/001⟩
Journal articles hal-00586660v1

Census of planar maps: from the one-matrix model solution to a combinatorial proof

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Nuclear Physics B, 2002, 645 (3), pp.477 - 499. ⟨10.1016/S0550-3213(02)00813-1⟩
Journal articles hal-00586664v1

From Aztec diamonds to pyramids: Steep tilings

Jérémie Bouttier , Guillaume Chapuy , Sylvie Corteel
Transactions of the American Mathematical Society, 2017, 369 (8), pp.5921 - 5959. ⟨10.1090/tran/7169⟩
Journal articles hal-01017723v1

Geodesic distance in planar graphs

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Nuclear Physics B, 2003, 663 (3), pp.535 - 567. ⟨10.1016/S0550-3213(03)00355-9⟩
Journal articles hal-00586662v1
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Bumping sequences and multispecies juggling

Arvind Ayyer , Jérémie Bouttier , Sylvie Corteel , Svante Linusson , François Nunzi
Advances in Applied Mathematics, 2018, 98, pp.100-126. ⟨10.1016/j.aam.2018.03.001⟩
Journal articles hal-01141430v1
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T-systems, networks and dimers

Philippe Di Francesco
Communications in Mathematical Physics, 2014, 331, pp.1237-1270. ⟨10.1007/s00220-014-2062-5⟩
Journal articles cea-01002525v1
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Relations between Potts and RSOS models on a torus

Jean-Francois Richard , Jesper Lykke Jacobsen
Nuclear Physics B, 2005, 731, pp.335-351. ⟨10.1016/j.nuclphysb.2005.09.046⟩
Journal articles hal-00007587v1

Phase diagram of the chromatic polynomial on a torus

Jesper Lykke Jacobsen , Jesus Salas
Nuclear Physics B - Proceedings Supplements, 2007, 783, pp.238-296
Journal articles hal-00175550v1
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Exact results for an asymmetric annihilation process with open boundaries

Arvind Ayyer , Kirone Mallick
Journal of Physics A: Mathematical and Theoretical, 2010, 43 (4), pp.045003. ⟨10.1088/1751-8113/43/4/045003⟩
Journal articles cea-02924664v1

Quantum Knizhnik-Zamolodchikov equation, generalized Razumov-Stroganov sum rules and extended Joseph polynomials

P. Di Francesco , Paul Zinn-Justin
Journal of Physics A: Mathematical and Theoretical, 2005, 38, pp.L815-L822
Journal articles hal-00014289v1
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Combinatorics of bicubic maps with hard particles

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Journal of Physics A: Mathematical and General (1975 - 2006), 2005, 38 (21), pp.4529 - 4559. ⟨10.1088/0305-4470/38/21/002⟩
Journal articles hal-00586657v1

Planar Maps and Continued Fractions

Jérémie Bouttier , Emmanuel Guitter
Communications in Mathematical Physics, 2012, 309 (3), pp.623 - 662. ⟨10.1007/s00220-011-1401-z⟩
Journal articles hal-00586646v1
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The Non-Commutative $A_1$ $T$-system and its positive Laurent property

Philippe Di Francesco
Communications in Mathematical Physics, 2015, 335, pp.935-953. ⟨10.1007/s00220-014-2223-6⟩
Journal articles cea-01002522v1
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Arctic curves of the twenty-vertex model with domain wall boundaries

Bryan Debin , Philippe Di Francesco , Emmanuel Guitter
Journal of Statistical Physics, 2020, 179, pp.33-89. ⟨10.1007/s10955-020-02518-y⟩
Journal articles cea-02932213v1

Statistics of planar graphs viewed from a vertex: a study via labeled trees

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Nuclear Physics B, 2003, 675 (3), pp.631 - 660. ⟨10.1016/j.nuclphysb.2003.09.046⟩
Journal articles hal-00586659v1

Blocked edges on Eulerian maps and mobiles: Application to spanning trees, hard particles and the Ising model

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Journal of Physics A: Mathematical and Theoretical, 2007, 40, pp.7411-7440. ⟨10.1088/1751-8113/40/27/002⟩
Journal articles hal-00336795v1
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Perfect sampling algorithm for Schur processes

Dan Betea , Cédric Boutillier , Jérémie Bouttier , Guillaume Chapuy , Sylvie Corteel , et al.
Markov Processes And Related Fields, 2018, 24 (3), pp.381-418
Journal articles hal-01023784v1

Combinatorics of hard particles on planar graphs

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Nuclear Physics B, 2003, 655 (3), pp.313 - 341. ⟨10.1016/S0550-3213(03)00058-0⟩
Journal articles hal-00586663v1
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Tetromino tilings and the Tutte polynomial

Jesper Lykke Jacobsen
Journal of Physics A: Mathematical and Theoretical, 2007, 40, pp.1439-1446. ⟨10.1088/1751-8113/40/7/002⟩
Journal articles hal-00095986v2

Core percolation in random graphs: a critical phenomena analysis

M. Bauer , O. Golinelli
The European Physical Journal B: Condensed Matter and Complex Systems, 2001, 24, pp.339-352
Journal articles hal-00021796v1
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Eigenvalue amplitudes of the Potts model on a torus

Jean-Francois Richard , Jesper Lykke Jacobsen
Nuclear Physics B, 2007, 769, pp.256-274. ⟨10.1016/j.nuclphysb.2007.01.028⟩
Journal articles hal-00089748v1
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Random trimer tilings

Anandamohan Ghosh , Deepak Dhar , Jesper Lykke Jacobsen
Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2007, 75, pp.011115. ⟨10.1103/PhysRevE.75.011115⟩
Journal articles hal-00093609v1

On FPL configurations with four sets of nested arches

P. Di Francesco , J. -B. Zuber
Journal of Statistical Mechanics: Theory and Experiment, 2004, P06, pp.P06005
Journal articles hal-00166967v1

Planar maps as labeled mobiles

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
The Electronic Journal of Combinatorics, 2004, 11, pp.R69
Journal articles hal-00586658v1

TRAMP: Compositional Inference with TRee Approximate Message Passing

Antoine Baker , Benjamin Aubin , Florent Krzakala , Lenka Zdeborová
2020
Preprints, Working Papers, ... hal-02983948v1

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

P. Di Francesco , Paul Zinn-Justin , J. -B. Zuber
Journal of Statistical Mechanics: Theory and Experiment, 2006, pp.P08011
Journal articles hal-00020303v1

Critical and Tricritical Hard Objects on Bicolorable Random Lattices: Exact Solutions

Jérémie Bouttier , Philippe Di Francesco , Emmanuel Guitter
Journal of Physics A: Mathematical and General (1975 - 2006), 2002, 35 (17), pp.3821. ⟨10.1088/0305-4470/35/17/302⟩
Journal articles hal-00586667v1