Cédric Boutillier
Publications
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Fock’s dimer model on the Aztec diamond
Cédric Boutillier, Béatrice de Tilière
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions (2026) -
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Limit shape of the leaky Abelian sandpile model with multiple layers
Théo Ballu, Cédric Boutillier, Sevak Mkrtchyan, Kilian Raschel
prepublication (2025) -
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A determinantal point process approach to scaling and local limits of random Young tableaux
Jacopo Borga, Cédric Boutillier, Valentin Féray, Pierre-Loïc Méliot
Ann. Probab. 53(1) 299-354 (2025) -
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Minimal bipartite dimers and higher genus Harnack curves
Cédric Boutillier, David Cimasoni, Béatrice de Tilière
Probability and Mathematical Physics 4(1) 151–208 (2023) -
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Elliptic dimer models on minimal graphs and genus 1 Harnack curves
Cédric Boutillier, David Cimasoni, Béatrice de Tilière
Communications in Mathematical Physics 400(2) 1071–1136 (2023) -
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Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices
Cédric Boutillier, Zhongyang Li
Annales de l’Institut Fourier 71(6) 2305–2386 (2022) -
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Martin boundary of killed random walks on isoradial graphs
Cédric Boutillier, Kilian Raschel
Potential Analysis (2021)
With an appendix by Alin Bostan -
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Isoradial immersions
Cédric Boutillier, David Cimasoni, Béatrice de Tilière
Journal of Graph Theory 99(4) 715–757 (2021) -
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Asymptotic enumeration of perfect matchings in m-barrel fullerene graphs
Afshin Behmaram, Cédric Boutillier
Discrete Appl. Math. 266 153–162 (2019) -
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The Z-invariant Ising model via dimers
Cédric Boutillier, Béatrice de Tilière, Kilian Raschel
Probability Theory and Related Fields 174(1) 235–305 (2019) -
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Perfect sampling algorithms for Schur processes
D. Betea, C. Boutillier, J. Bouttier, G. Chapuy, S. Corteel, M. Vuletić
Markov Process. Relat. Fields 24(3) 381–418 (2018) -
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Dimers on rail yard graphs
Cédric Boutillier, Jérémie Bouttier, Guillaume Chapuy, Sylvie Corteel, Sanjay Ramassamy
Ann. Inst. Henri Poincaré D 4(4) 479–539 (2017) -
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The Z-invariant massive Laplacian on isoradial graphs
Cédric Boutillier, Béatrice de Tilière, Kilian Raschel
Invent. Math. 208(1) 109-189 (2017) -
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Height representation of XOR-Ising loops via bipartite dimers
Cédric Boutillier, Béatrice de Tilière
Electron. J. Probab. 19 no. 80, 33 (2014) -
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Statistical Mechanics on Isoradial Graphs
Cédric Boutillier, Béatrice Tilière
Probability in Complex Physical Systems 11 491–512 (2012) -
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Random partitions in a rectangular box
Dan Beltoft, Cédric Boutillier, Nathanaël Enriquez
Moscow Mathematical Journal 12(4) 719–745 (2012) -
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Random skew plane partitions with a piecewise periodic back wall
Cedric Boutillier, Sevak Mkrtchyan, Nicolai Reshetikhin, Peter Tingley
Ann. Henri Poincaré 13(2) 271–296 (2012) -
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The critical Z-invariant Ising model via dimers: locality property
Cédric Boutillier, Béatrice de Tilière
Comm. Math. Phys. 301(2) 473–516 (2011) -
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The critical Z-invariant Ising model via dimers: the periodic case
Cédric Boutillier, Béatrice de Tilière
Probab. Theory Related Fields 147(3-4) 379–413 (2010) -
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The bead model and limit behaviors of dimer models
Cédric Boutillier
Ann. Probab. 37(1) 107–142 (2009) -
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Loops statistics in the toroidal honeycomb dimer model
Cédric Boutillier, Béatrice de Tilière
Ann. Probab. 37(5) 1747–1777 (2009) -
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The critical Ising model on infinite isoradial graphs via dimers
Cédric Boutillier
Oberwolfach Reports (Stochastic Analysis Workshop) (25/2008) (2008) -
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Pattern densities in non-frozen planar dimer models
Cédric Boutillier
Comm. Math. Phys. 271(1) 55–91 (2007) -
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Non-colliding paths in the honeycomb dimer model and the Dyson process
Cédric Boutillier
J. Stat. Phys. 129(5-6) 1117–1135 (2007) -
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A matrix ansatz for the diffusion of an impurity in the asymmetric exclusion process
Cédric Boutillier, Paul François, Kirone Mallick, Shamlal Mallick
J. Phys. A 35(46) 9703–9730 (2002)
As Editor
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Topics in Statistical Mechanics
Djalil Chafaï, Ewain Gwynne, Nina Holden, Xin Sun, Rémi Rhodes, Vincent Vargas, Yvan Velenik
Panoramas et Synthèses [Panoramas and Syntheses] 59 xxii+230 (2023)
Lecture notes from the French Mathematical Society State of Research Sessions (Les états de la Recherche) held at the Institut Henri Poincaré, Paris, December 10–14, 2018, Edited by C. Boutillier, B. de Tilière and K. Raschel -
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Mini-Workshop: Dimers, Ising and Spanning Trees beyond the Critical Isoradial Case
Cédric Boutillier, Sanjay Ramassamy, Marianna Russkikh
Oberwolfach Rep. 17(4) 1759–1789 (2021) -
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Dimer models and random tilings
B. de Tilière, P. Ferrari
Panoramas et Synthèses [Panoramas and Syntheses] 45 xvii+79 (2015)
Lecture notes from the French Mathematical Society State of Research Sessions (Les états de la Recherche) held at the Institut Henri Poincaré, Paris, October 5–7, 2009, Edited by C. Boutillier and N. Enriquez
Ph. D. Thesis
Modèles de dimères : comportements limites (october 2005)
advisor: Richard Kenyon
reporting committee: Nikolai Reshetikhin, Scott Sheffield
committee: Philippe Chassaing, Alice Guionnet, Richard Kenyon, Yves Le Jan, Vincent Pasquier, Wendelin Werner
Habilitation
Around planar dimer models: Schur processes and integrable statistical mechanics on isoradial graphs (december 2016)
reporting committee: Vincent Beffara, Kurt Johansson, Andrei Okounkov
committee: Vincent Beffara, Philippe Biane, Dmitry Chelkak, Philippe Di Francesco, Nathanaël Enriquez, Thierry Lévy, Fabio Toninelli