## Publications

This is a list of publications by Cartaplus members, within or after the duration of the project.

## Published articles (by year of publication)

- O. Angel, G. Chapuy, N. Curien and G. Ray,
*The local limit of unicellular maps in high genus*, Electronic Communications in Probability, 18:1-8 (2013), arXiv:1309.6254 [math.PR]. - C. Arita, J. Bouttier, P. L. Krapivsky and K. Mallick,
*Asymmetric Exclusion Process with Global Hopping*, Phys. Rev. E 88 042120 (2013), arXiv:1307.4367 [math.CO]. - G. Chapuy, V. Feray and É. Fusy,
*A simple model of trees for unicellular maps*, J. Combin. Theory Ser. A 120:8 2064-2092 (2013), arXiv:1202.3252 [math.CO]. - A. Micheli and D. Rossin,
*Counting k-convex polyominoes*, Electr. J. Combin. 20:2 #P56 (2013). - M. Albenque, É. Fusy and D. Poulalhon,
*On symmetric quadrangulations and triangulations*, European J. Combin. 35 13-31 (2014), arXiv:1103.3657 [math.CO]. - O. Bernardi, G. Collet and É. Fusy.
*A bijection for plane graphs and its applications*. Proceedings of the Eleventh Workshop on Analytic Algorithmics and Combinatorics (ANALCO) 52-61 (2014) *. - J. Bouttier and E. Guitter,
*A note on irreducible maps with several boundaries*, Electr. J. Combin. 21 #P1.23 (2014), arXiv:1305.4816 [math.CO] *. - G. Collet and É. Fusy,
*A simple formula for the series of constellations and quasi-constellations with boundaries*, Electron. J. Combin. 21:2 P2.9 (2014), arXiv:1205.5215 [math.CO] *. - J. Bouttier, É. Fusy and E. Guitter,
*On the two-point function of general planar maps and hypermaps*, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 1 265-306 (2014), arXiv.org:1312.0502 [math.CO] *. - É. Fusy and E. Guitter,
*The three-point function of general planar maps*, J. Stat. Mech. P09012 (2014), arXiv:1403.3514 [math.CO] *. - J. Bouttier and E. Guitter,
*On irreducible maps and slices*, Combinatorics, Probability and Computing 23:06 914-972 (2014), arXiv:1303.3728 [math.CO] *. - M. Albenque and K. Knauer,
*Convexity in partial cubes: the hull number*, Lect. Notes in Computer Science (LATIN), 8392:421-432 (2014), arXiv:1309.5724 [math.CO] *. - G. Chapuy and C. Stump,
*Counting factorizations of Coxeter elements into products of reflections*, =Journal of the London Mathematical Society, 90 (3): 919-939 (2014), arXiv:1211.2789 [math.CO] *. - O. Bernardi, G. Collet and É. Fusy,
*On the distance-profile of random rooted plane graphs*, Proceedings of the 25th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA) 37-48 (2014) *. - E. Duchi, D. Poulalhon and G. Schaeffer,
*Uniform random sampling of simple branched coverings of the sphere by itself*, Proceedings of the Twenty-Fifth Annual ACM-SIAM Symposium on Discrete Algorithms, 294–304, ACM, New York (2014). - G. Chapuy, É. Fusy, O. Giménez and M. Noy,
*On the Diameter of Random Planar Graphs*, Combin. Probab. Comput. 24:1 145-178 (2015), arXiv:1203.3079 [math.CO] *. - A. Ayyer, J. Bouttier, S. Corteel and F. Nunzi,
*Multivariate Juggling Probabilities*, Electron. J. Probab. 20:5 1-29 (2015), arXiv:1402.3752 [math.PR] *. - G. Chapuy and Sean R. Carrell,
*Simple recurrence formulas to count maps on orientable surfaces*, Journal of Combinatorial Theory, Series A, 133:58–75 (2015), arXiv:1402.6300 [math.CO] *. - É. Fusy and A. Tanasa,
*Asymptotic expansion of the multi-orientable random tensor model*, Electron. J. Combin. 22 (2015), no. 1, Paper 1.52arXiv:1408.5725 [math.CO] *. - M. Albenque and C. Goldschmidt, "The Brownian continuum random tree as the unique solution to a fixed point equation" Electron. Commun. Probab. (2015), 61, arXiv:1504.05445 [math.PR] *.
- M. Albenque and D. Poulalhon,
*Generic method for bijections between blossoming trees and planar maps*, Electron. J. Combin. 22 (2015), no. 2, Paper 2.38, arXiv:1305.1312 [math.CO] *. - É. Fusy and E. Guitter,
*The two-point function of bicolored planar maps*, Ann. Inst. Henri Poincaré D 2 (2015), no. 4, 335–412, arXiv:1411.4406 [math.CO] *. - G. Chapuy and W. Fang,
*Generating functions of bipartite maps on orientable surfaces*, Electron. J. Combin. 23 (2016), no. 3, Paper 3.31, arXiv:1502.06239 [math.CO] *. - M. Albenque and K. Knauer, "Convexity in Partial Cubes: The Hull Number", Discrete Math. 339(2), (2016), pp.866-876 *.
- G. Chapuy and G. Perarnau,
*Connectivity in bridge-addable graph classes: the McDiarmid-Steger-Welsh conjecture*, Proceedings of the Twenty-Seventh Annual ACM-SIAM Symposium on Discrete Algorithms (2016), arXiv:1504.06344 [math.CO]. - G. Chapuy and G. Perarnau,
*Local Convergence and Stability of Tight Bridge-Addable Graph Classes*, Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016), arXiv:1609.03974 [math.CO]. - C. Dervieux, D. Poulalhon and G. Schaeffer,
*The number of corner polyhedra graphs*, Proceedings of the 28th International Conference on Formal Power Series and Algebraic Combinatorics, July 4-8, Vancouver, Canada, DMTCS proc. BC, 2016, 371–382. - G. Chapuy and M. Dolega,
*A bijection for rooted maps on general surfaces*, J. Combin. Theory Ser. A 145 (2017), 252–307, arXiv:1501.06942 [math.CO]. - L. Addario-Berry and M. Albenque,
*The scaling limit of random simple triangulations and quadrangulations*, Ann. Probab, Volume 45, Number 5 (2017), 2767-2825, arXiv:1306.5227 [math.PR] *. - G. Chapuy, M. Dołęga,
*A bijection for rooted maps on general surfaces*, J. Combin. Theory Ser. A 145 (2017), 252–307, arXiv:1501.06942 [math.CO] *. - J. Bouttier, G. Chapuy and S. Corteel,
*From Aztec diamonds to pyramids: steep tilings*, Trans. Amer. Math. Soc. 369 (2017), no. 8, 5921–5959, arXiv:1407.0665 [math.CO] *. - D. Betea, J. Bouttier, P. Nejjar and M. Vuletić,
*The free boundary Schur process and applications*, Proceedings of the 29th International Conference on Formal Power Series and Algebraic Combinatorics, July 9-13, 2017, Queen Mary University of London, UK, Séminaire Lotharingien de Combinatoire, 78B.44 (2017), arXiv:1704.05809v1 [math.PR]. - P. Biane and G. Chapuy,
*Laplacian Matrices and Spanning Trees of Tree Graphs*, Ann. Fac. Sci. Toulouse Math. (6) 26 (2017), arXiv:1505.04806 [math.CO]. - L. Chen,
*Basic properties of the infinite critical-FK random map*, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 4 (2017), 245-271, arXiv:1502.01013 [math.PR] *. - C. Boutillier, J. Bouttier, G. Chapuy, S. Corteel and S. Ramassamy,
*Dimers on Rail Yard Graphs*, Ann. Inst. Henri Poincaré Comb. Phys. Interact. 4 (2017), 479-539, arXiv:1504.05176 [math-ph] *. - É. Fusy and E. Guitter,
*Comparing two statistical ensembles of quadrangulations: a continued fraction approach*, Ann. Inst. Henri Poincaré D 4 (2017), no. 2, 125–176, arXiv:1507.04538 [math.CO] *.

## Preprints

- O. Bernardi and É. Fusy,
*Unified bijections for planar hypermaps with general cycle-length constraints*, arXiv:1403.5371 [math.CO] *. - E. Duchi, D. Poulalhon and G. Schaeffer,
*Bijections for simple and double Hurwitz numbers*, arXiv:1410.6521 [math.CO]. - O. Bernardi and É. Fusy,
*Bijections for planar maps with boundaries*, arXiv:1510.05194 [math.CO] *. - D. Betea, C. Boutillier, J. Bouttier, G. Chapuy, S. Corteel and M. Vuletić,
*Perfect sampling algorithm for Schur processes*, arXiv:1407.3764 [math.PR] *. - G. Chapuy,
*The asymptotic number of 12..d-Avoiding Words with r occurrences of each letter 1,2,...,n*, arXiv:1412.6070 [math.CO] *. - A. Ayyer, J. Bouttier, S. Corteel and F. Nunzi,
*Bumping sequences and multispecies juggling*, arXiv:1504.02688 [math.CO] *. - G. Chapuy,
*On tessellations of random maps and the t_g-recurrence*, arXiv:1603.07714 [math.PR]. - G. Borot, J. Bouttier, B. Duplantier,
*Nesting statistics in the O(n) loop model on random planar maps*, arXiv:1605.02239 [math-ph] *. - A. Alexandrov, G. Chapuy, B. Eynard and J. Harnad,
*Weighted Hurwitz numbers and topological recursion: an overview*, arXiv:1610.09408 [math-ph] *. - D. Betea, J. Bouttier, P. Nejjar and M. Vuletić,
*The free boundary Schur process and applications*, arXiv:1704.05809 [math.PR]. - A. Alexandrov, G. Chapuy, B. Eynard and J. Harnad,
*Fermionic approach to weighted Hurwitz numbers and topological recursion*, arXiv:1706.00958 [math-ph] *.