This list consists of works of the consortium directly related to the DIMERS project. It is automatically collected from the HAL open archive and is updated on a daily basis.

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Preprints, working papers…

2024

• The Doob transform and the tree behind the forest, with application to near-critical dimers
  Lucas Rey
  hal-04417909 BibTeX

2023

• Lattice paths and branched continued fractions III. Generalizations of the Laguerre, rook and Lah polynomials
  Bishal Deb, Alexander Dyachenko, Mathias Pétréolle, Alan D. Sokal
  hal-04354289 BibTeX

• Boundary correlations for the Z-invariant Ising Model
  Tristan Pham-Mariotti
  hal-04343249 BibTeX

• Coefficientwise Hankel-total positivity of the Schett polynomials
  Bishal Deb, Alan D. Sokal
  hal-04297025 BibTeX

• Distances and isoperimetric inequalities in random triangulations of high genus
  Thomas Budzinski, Guillaume Chapuy, Louf Baptiste
  hal-04285094 BibTeX

• Interface fluctuations associated with split Fermi seas
  Harriet Walsh
  hal-04271669 BibTeX

• Sampling Random Cycle-Rooted Spanning Forests on Infinite Graphs
  H Constantin
  hal-04182926 BibTeX

• A determinantal point process approach to scaling and local limits of random Young tableaux
  Jacopo Borga, Cédric Boutillier, Valentin Féray, Pierre-Loïc Méliot
  hal-04171056 BibTeX

• From point processes to quantum optics and back
  Rémi Bardenet, Alexandre Feller, Jérémie Bouttier, Pascal Degiovanni, Adrien Hardy, Adam Rançon, Benjamin Roussel, Grégory Schehr, Christoph I. Westbrook
  hal-03837697 BibTeX

• Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder
  Niklas Affolter, Terrence George, Sanjay Ramassamy
  hal-03364744 BibTeX

2022

• The Schwarzian octahedron recurrence (dSKP equation) II: geometric systems
  Niklas Affolter, Béatrice de Tilière, Paul Melotti
  hal-03765654 BibTeX

• The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions
  Niklas Affolter, Béatrice de Tilière, Paul Melotti
  hal-03765650 BibTeX

• Random partitions under the Plancherel-Hurwitz measure, high genus Hurwitz numbers and maps
  Guillaume Chapuy, Baptiste Louf, Harriet Walsh
  hal-03704671 BibTeX

• On quasi-polynomials counting planar tight maps
  Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
  hal-03622398 BibTeX

2020

• The p-Airy distribution
  Sergio Caracciolo, Vittorio Erba, Andrea Sportiello
  hal-03090855 BibTeX

• Ising model and s-embeddings of planar graphs
  Dmitry Chelkak
  hal-02937535 BibTeX

• Non-probabilistic fermionic limit shapes
  Saverio Bocini, Jean-Marie Stéphan
  hal-02933352 BibTeX

• Extreme boundary conditions and random tilings
  Jean-Marie Stéphan
  hal-02879914 BibTeX

• Magnetization in the zig-zag layered Ising model and orthogonal polynomials
  Dmitry Chelkak, Clément Hongler, Rémy Mahfouf
  hal-02613070 BibTeX

• Fluctuations in the Aztec diamonds via a Lorentz-minimal surface
  Dmitry Chelkak, Sanjay Ramassamy
  hal-02572666 BibTeX

• Local Geometry of the rough-smooth interface in the two-periodic Aztec diamond
  Vincent Beffara, Sunil Chhita, Kurt Johansson
  hal-02572271 BibTeX

• The free-fermion eight-vertex model: couplings, bipartite dimers and Z-invariance
  Paul Melotti
  hal-01917153 BibTeX

2019

• The dimer model on Riemann surfaces, I
  Nathanael Berestycki, Benoît Laslier, Gourab Ray
  hal-02378659 BibTeX

• Logarithmic variance for the height function of square-ice
  Hugo Duminil-Copin, Matan Harel, Benoît Laslier, Aran Raoufi, Gourab Ray
  hal-02378647 BibTeX

• Full counting statistics of energy transfers in inhomogeneous nonequilibrium states of (1+1)D CFT
  Krzysztof Gawȩdzki, Karol K Kozlowski
  hal-02360663 BibTeX

Articles

2023

• Dimer model and holomorphic functions on t-embeddings of planar graphs
  Dmitry Chelkak, Benoît Laslier, Marianna Russkikh
  Proceedings of the London Mathematical Society (2023)
  hal-02613085 BibTeX

• Minimal bipartite dimers and higher genus Harnack curves
  Cédric Boutillier, David Cimasoni, Béatrice de Tilière
  Probability and Mathematical Physics (2023) 4 1 151-208
  hal-03502141 BibTeX

• Cube moves for s-embeddings and α-realizations
  Paul Melotti, Sanjay Ramassamy, Paul Thévenin
  Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions (2023) 10 4 781–817
  hal-02512557 BibTeX

• Graph coverings and twisted operators
  David Cimasoni, Adrien Kassel
  Algebraic Combinatorics (2023) 6 1 75-94
  hal-03088070 BibTeX

• Multicritical Schur measures and higher-order analogues of the Tracy-Widom distribution
  Dan Betea, Jérémie Bouttier, Harriet Walsh
  Mathematical Physics, Analysis and Geometry (2023) 27 2
  hal-04162097 BibTeX

• Discrete dynamics in cluster integrable systems from geometric R-matrix transformations
  Terrence George, Sanjay Ramassamy
  Combinatorial Theory (2023) 3 2
  hal-03815673 BibTeX

• Topics in statistical mechanics
  Cédric Boutillier, Béatrice de Tilière, Kilian Raschel
  hal-04270409 BibTeX

• Vector-relation configurations and plabic graphs
  Niklas Affolter, Max Glick, Pavlo Pylyavskyy, Sanjay Ramassamy
  Selecta Mathematica (New Series) (2023)
  hal-02595570 BibTeX

• Universality of spin correlations in the Ising model on isoradial graphs
  Dmitry Chelkak, Konstantin Izyurov, Rémy Mahfouf
  Annals of Probability (2023)
  hal-03984193 BibTeX

2022

• Hydrodynamic limit for a 2D interlaced particle process
  Vincent Lerouvillois, Fabio Toninelli
  The Annals of Applied Probability (2022) 32 1 167-190
  hal-02566038 BibTeX

• Determinantal probability measures on Grassmannians
  Adrien Kassel, Thierry Levy
  Annales de l’Institut Henri Poincaré (D) Combinatorics, Physics and their Interactions (2022) 9 4 659-732
  hal-02333790 BibTeX

• Multicritical random partitions
  Dan Betea, Jérémie Bouttier, Harriet Walsh
  33st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2021) (2022) 85B #33
  hal-03043379 BibTeX

• Martin boundary of killed random walks on isoradial graphs
  Cédric Boutillier, Kilian Raschel, Alin Bostan
  Potential Analysis (2022) 57 201-226
  hal-02422417 BibTeX

• Isoradial immersions
  Cédric Boutillier, David Cimasoni, Béatrice de Tilière
  Journal of Graph Theory (2022) 99 4 715-757
  hal-02423791 BibTeX

• Exact time evolution formulae in the XXZ spin chain with domain wall initial state
  Jean-Marie Stéphan
  J.Phys.A (2022) 55 20 204003
  hal-03650834 BibTeX

• Dimers and circle patterns
  Richard Kenyon, Wai Yeung Lam, Sanjay Ramassamy, Marianna Russkikh
  Annales Scientifiques de l’École Normale Supérieure (2022) 55 3 863-901
  hal-01911855 BibTeX

• Gradient corrections to the local-density approximation in the one-dimensional Bose gas
  François Riggio, Yannis Brun, Dragi Karevski, Alexandre Faribault, Jerome Dubail
  Physical Review A (2022) 106 5 053309
  hal-03853441 BibTeX

• Bijective enumeration of planar bipartite maps with three tight boundaries, or how to slice pairs of pants
  Jérémie Bouttier, Emmanuel Guitter, Grégory Miermont
  Annales Henri Lebesgue (2022) 5 1035-1110
  hal-03203780 BibTeX

• Elliptic dimers on minimal graphs and genus 1 Harnack curves
  Cédric Boutillier, David Cimasoni, Béatrice de Tilière
  Communications in Mathematical Physics (2022)
  hal-02908609 BibTeX

2021

• The domino shuffling algorithm and Anisotropic KPZ stochastic growth
  Sunil Chhita, Fabio Toninelli
  Annales Henri Lebesgue (2021) 4 1005-1034
  hal-02159744 BibTeX

• On the convergence of massive loop-erased random walks to massive SLE(2) curves
  Dmitry Chelkak, Yijun Wan
  Electronic Journal of Probability (2021) 26 none
  hal-02612906 BibTeX

• Tau-functions à la Dubédat and probabilities of cylindrical events for double-dimers and CLE(4)
  Mikhail Basok, Dmitry Chelkak
  Journal of the European Mathematical Society (2021) 23 8 2787-2832
  hal-02936267 BibTeX

• Random Assignment Problems on 2d Manifolds
  Dario Benedetto, Emanuele Caglioti, Sergio Caracciolo, Matteo d’Achille, Gabriele Sicuro, Andrea Sportiello
  Journal of Statistical Physics (2021) 183 34
  hal-02944904 BibTeX

• The Number of Optimal Matchings for Euclidean Assignment on the Line
  Sergio Caracciolo, Vittorio Erba, Andrea Sportiello
  Journal of Statistical Physics (2021) 183 1
  hal-03204820 BibTeX

• Enumeration of planar constellations with an alternating boundary
  Jérémie Bouttier, Ariane Carrance
  The Electronic Journal of Combinatorics (2021) 28 3 P3.21
  hal-03096096 BibTeX

• Large deviations of energy transfers in nonequilibrium CFT and asymptotics of non-local Riemann–Hilbert problems
  Krzysztof Gawȩdzki, Karol Kajetan Kozlowski
  Analysis and Mathematical Physics (2021) 11 2
  hal-03375486 BibTeX

• Limit shape and height fluctuations of random perfect matchings on square-hexagon lattices
  Cédric Boutillier, Zhongyang Li
  Annales de l’Institut Fourier (2021) 71 6 2305-2386
  hal-03896445 BibTeX

• The Free-Fermion Eight-Vertex Model: Couplings, Bipartite Dimers and Z-Invariance
  Paul Melotti
  Communications in Mathematical Physics (2021) 381 1 33-82
  hal-04031203 BibTeX

2020

• Non-integrable dimers: Universal fluctuations of tilted height profiles
  Alessandro Giuliani, Vieri Mastropietro, Fabio Toninelli
  Communications in Mathematical Physics (2020) 377 3 1883-1959
  hal-02102242 BibTeX

• Full counting statistics of energy transfers in inhomogeneous nonequilibrium states of (1+1)D CFT
  Krzysztof Gawedzki, Karol K. Kozlowski
  Commun.Math.Phys. (2020) 377 2 1227-1309
  hal-02165619 BibTeX

• Vector-relation configurations and plabic graphs (extended abstract)
  Niklas Affolter, Max Glick, Pavlo Pylyavskyy, Sanjay Ramassamy
  Proceedings of the 32nd Conference on Formal Power Series and Algebraic Combinatorics (2020) 84B Article #91, 12pp
  hal-03364756 BibTeX

2019

• New edge asymptotics of skew Young diagrams via free boundaries
  Dan Betea, Jérémie Bouttier, Peter Nejjar, Mirjana Vuletić
  31st International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2019) (2019) 82B Article #34
  hal-02049722 BibTeX

• Non-integrable dimer models: universality and scaling relations
  Alessandro Giuliani, Fabio Toninelli
  Journal of Mathematical Physics (2019) 60 10 103301
  hal-02126951 BibTeX

• Depinning transition of charge-density waves: mapping onto O(n) symmetric φ^4 theory with n\to -2 and loop-erased random walks
  Kay Joerg Wiese, Andrei A. Fedorenko
  Physical Review Letters (2019)
  hal-02276450 BibTeX

• Field Theories for Loop-Erased Random Walks
  Kay Joerg Wiese, Andrei A. Fedorenko
  Nuclear Physics B (2019) 946 114696
  hal-01744049 BibTeX

Theses and Habilitations

• Planar maps and random partitions
  Jérémie Bouttier
  Université Paris XI (2019)
  tel-02417269 BibTeX

• Integrable spin, vertex and loop models
  Paul Melotti
  Sorbonne Université (2019) 2019SORUS258
  tel-02277485 BibTeX