PUBLICATIONS 2026
- Fragile minor-monotone parameters under a random edge perturbation
Dong Yeap Kang, Mihyun Kang, Jaehoon Kim, and Sang-il Oum
European Journal of Combinatorics (2026), Vol. 133, 104305
DOI: 10.1016/j.ejc.2025.104305 (associated to Project 5) - Bounded degree graphs and hypergraphs with no full rainbow matchings
Ronen Wdowinski
European Journal of Combinatorics (2026), Vol. 133, 104316
DOI: 10.1016/j.ejc.2025.104316 (associated to Project 5) - Zeros of planar Ising models via flat SU(2) connections
Marcin Lis
Commun. Math. Phys. (2026), Vol. 407, No. 6.
DOI: 10.1007/s00220-025-05516-x (associated to Project 7) - Counting independent sets in percolated graphs via the Ising model
Anna Geisler, Mihyun Kang, Michail Sarantis, and Ronen Wdowinski
Random Structures Algorithms (2026), 68, no. 1: e70044.
DOI: 10.1002/rsa.70044 (associated to Project 5) - Conformally invariant boundary arcs in double dimers.
Marcin Lis, Lucas Rey, Kieran Ryan
Probab. Theory Relat. Fields (2026)
DOI: 10.1007/s00440-025-01459-5 (associated to Project 7) - Large matchings and nearly spanning, nearly regular subgraphs of random subgraphs
Sahar Diskin, Joshua Erde, Mihyun Kang, and Michael Krivelevich
Electron J. Comb. (2026), Vol. 33, No. 1, P1.37.
DOI: 10.37236/14036 (associated to Project 5) - A positivity conjecture for a quotient of q-binomial coefficients
Mona Gatzweiler, Christian Krattenthaler
Ramanujan J. (2026), Vol. 69, No. 1
DOI: 10.1007/s11139-025-01285-2 (associated to Project 6) - Exponential decay in O(n)-invariant quantum spin systems
Jakob E. Björnberg, Kieran Ryan
Ann. Henri Poincaré (2026)
DOI: 10.1007/s00023-026-01690-3 (associated to Project 7)
PUBLICATIONS 2025
- A bijective look at gapfree partitions: between local and global
Shane Chern, Shishuo Fu, Dazhao Tang
Ramanujan J (2025) Vol. 67, Nr. 34.
DOI: 10.1007/s11139-025-01078-7 (associated to Project 6) - A Generalization of Conjugation of Integer Partitions
Seamus Albion, Theresia Eisenkölbl, Ilse Fischer, Moritz Grangl, Hans Höngesberg, Christian Krattenthaler, Martin Rubey
Electronic J. Combin. (2025), Vol. 32, Nr. 2.
DOI: 10.37236/13489 (associated to Project 4 and 6) - Bootstrap Percolation on the High-Dimensional Hamming Graph
Mihyun Kang, Michael Missethan, Dominik Schmid
SIAM Journal on Discrete Mathematics (2025), Vol. 39, Nr. 4.
DOI: 10.1137.24M1670937 (associated to Project 5) - A probabilistic proof of Euler's pentagonal number theorem
Shane Chern
Sém. Lothar. Combin. 92 (2025), Art. B92c, 12 pp. - Gaussian Free Field and Liouville Quantum Gravity
Nathanael Berestycki, Ellen Powell
Cambridge University Press (2025)
DOI: 10.1017/9781009405492 (associated to Project 2) - On the duality between height functions and continuous spin models
Diederik van Engelenburg, Marcin Lis
Probab. Math. Phys., (2025), Vol. 6, No. 4, 1291–1325
DOI: 10.2140/pmp.2025.6.1291 (associated to Project 7) - Asymptotic normality of pattern occurences in random maps
Michael Drmota, Eva-Maria Hainzl, Nick Wormald
J. Lond. Math. Soc.(2025), Vol. 111, Nr. 4
DOI: 10.1112/jlms.70149 (associated to Project 3)
PUBLICATIONS 2024
- Bounded Littlewood identity related to alternating sign matrices
Ilse Fischer
Forum of Mathematics, Sigma (2024), Vol. 12:e124 1–44,
DOI: 10.1017/fms.2024.70 (associated to Project 4)
PREPRINTS 2026
- Stationary hitting times on vertex-transitive graphs
Nathanael Berestycki, Jonathan Hermon, Lucas Teyssier
arXiv:2601.03864 (associated to Project 2) - Superdiffusive central limit theorem for a class of driven diffusive systems at the critical dimension
Giuseppe Cannizzaro, Tom Klose, Quentin Moulard
arXiv:2601.05945 (associated to Project 9) - On the number of antichains in {0,1,2}^n
Matthew Jenssen, Jinyoung Park, and Michail Sarantis
arXiv:2601.07650 (associated to Project 5) - The Ising magnetisation field and the Gaussian free field
Tomás Alcalde López, Lorca Heeney, Marcin Lis
arXiv:2602.05886 (associated to Project 7) - Block-weighted random graphs: planar and beyond
Mihyun Kang, Zéphyr Salvy and Ronen Wdowinski
arXiv:2602.23912 (associated to Project 3 and 5) - Sampling from the antiferromagnetic Ising model on bipartite, regular expander graphs
Anna Geisler, Mihyun Kang, Michail Sarantis, Ronen Wdowinski
arXiv:2603.02101 (associated to Project 5) - Massive holomorphicity of near-critical dimers and sine-Gordon model
Nathanael Berestycki, Scott Mason, Lucas Rey
arXiv:2603.06498 (associated to Project 2) - Brownian paths as loop-decorated SLEs
Nathanael Berestycki, Isao Sauzedde
arXiv:2602.04673 (associated to Project 2) - Asymptotic Transfer in Critical Recursive Composition Schemes
Michael Drmota, Zéphyr Salvy
arXiv:2603.06185 (associated to Project 3) - Proof of the Andrews-El Bachraoui positivity conjecture
Shane Chern, Chun Wang
arXiv:2601.19845 (associated to Project 6) - Enumeration of general planar hypermaps with an alternating boundary
Valentin Baillard, Ariane Carrance, Bertrand Eynard
arXiv:2603.28571 (associated to Project 2) - Tight constructions for reconfigurations of independent transversals
Ronen Wdowinski
arXiv:2604.21576 (associated to Project 5) - Uniqueness and locality of the ground state of the disordered Monomer-Dimer models on independently weighted Unimodular Bienaymé-Galton-Watson trees
Mihyun Kang and Mike Liu
arXiv:2603.19003 (associated to Project 5)
PREPRINTS 2025
- Superdiffusive Central Limit Theorem for the Stochastic Burgers Equation at the critical dimension
Giuseppe Cannizzaro, Quentin Moulard, Fabio Toninelli
arXiv:2501.00344 (associated to Project 9) - Sharp character bounds and cutoff profiles for symmetric groups
Sam Olesker-Taylor, Lucas Teyssier, Paul Thévenin
arXiv:2503.12735 (associated to Project 2) - The Ising model on cubic maps: arbitrary genus
Mireille Bousquet-Mélou, Ariane Carrance, Baptiste Louf
arXiv:2504.00768 (associated to Project 2) - Arithmetic properties of the Taylor coefficients of differentially algebraic power series
Christian Krattenthaler, Tanguy Rivoal
arXiv:2502.09259 (associated to Project 6) - Refined enumeration of two-rowed set-valued standard tableaux via two-coloured Motzkin paths
Christian Krattenthaler
arXiv:2501.09208 (associated to Project 6) - The scaling limit of random 2-connected series-parallel maps
Daniel Amankwah, Jakob Björnberg, Sigurdur Örn Stefánsson, Benedikt Stufler, Joonas Turunen
arXiv:2503.19705 (associated to Project 8) - Universality of the matching number in percolated regular graphs
Sahar Diskin, Mihyun Kang, and Lyuben Lichev
arXiv:2503.11242 (associated to Project 5) - Counting independent sets in expanding bipartite regular graphs
Mauricio Collares, Joshua Erde, Anna Geisler, and Mihyun Kang
arXiv:2503.22255 (associated to Project 5) - Off-diagonally symmetric alternating sign matrices
Nishu Kumari
arXiv:2503.18685 (associated to Project 4) - Nearly spanning cycle in the percolated hypercube
Michael Anastos, Sahar Diskin, Joshua Erde, Mihyun Kang, Michael Krivelevich, and Lyuben Lichev
arXiv:2505.04436 (associated to Project 5) - Dimers with layered disorder
Fabio Toninelli, Quentin Moulard
arXiv:2507.11964 (associated to Project 9) - Scaling limits of multitype Bienaymé trees
Louigi Addario-Berry, Philipp Beltran, Benedikt Stufler, and Paul Thévenin
arXiv:2507.23241 (associated to Project 2 and 8) - Cycle lengths in the percolated hypercube
Michael Anastos, Sahar Diskin, Joshua Erde, Mihyun Kang, Michael Krivelevich and Lyuben Lichev
arXiv:2506.16858 (associated to Project 5) - Gibbs partitions and lattice paths
Niccolò Bosio, Markus Kuba, Benedikt Stufler
arXiv:2411.03930 (associated to Project 8) - Hall's theorem for reconfigurations and higher dimensional topological connectedness
Ronen Wdowinksi
arXiv:2511.04863 (associated to Project 5) - An Orthogonal View of Gaußian Polynomials
Christian Krattenthaler, Brandt Kronholm, Paul Marsh
arXiv:2510.14124 (associated to Project 6) - Bounded Littlewood identities with fixed number of odd rows or odd columns
JiSun Huh, Jang Soo Kim, Christian Krattenthaler, Soichi Okada
arXiv:2510.11054 (associated to Project 6) - Schur log-concavity and the quantum Pascal triangle
Álvaro Gutiérrez, Christian Krattenthaler
arXiv:2509.22648 (associated to Project 6) - Dimerization on O(n)-invariant quantum spin chains
Jakob E. Björnberg, Kieran Ryan
arXiv:2506.06103 (associated to Project 7) - Convolutive sequences, I: Through the lens of integer partition functions
Shane Chern, Dennis Eichhorn, Shishuo Fu, James A. Sellers
arXiv:2507.10965 (associated to Project 6) - Domino tilings, nonintersecting lattice paths and subclasses of Koutschan–Krattenthaler–Schlosser determinants
Qipin Chen, Shane Chern, Atsuro Yoshida
arXiv:2507.15665 (associated to Project 4 and 6) - Signed counting of partition matrices
Shane Chern, Shishuo Fu
arXiv:2508.21318 (associated to Project 6) - Asymptotics for the enumeration of commuting matrices over finite fields
Kathrin Bringmann, Shane Chern, Johann Franke, Bernhard Heim
arXiv:2509.16178 (associated to Project 6) - On the spectral geometry of Liouville quantum gravity
Nathanael Berestycki
arXiv:2512.02538 (associated to Project 2) - Loewner--Kufarev entropy and large deviations of the Hastings--Levitov model
Nathanael Berestycki, Vladislav Guskov, Fredrik Viklund
arXiv:2512.02855 (associated to Project 2) - Uniform spanning trees and random matrix statistics
Nathanaël Berestycki, Marcin Lis, Mingchang Liu, Eveliina Peltola
arXiv:2512.20540 (associated to Project 2) - Critical behaviour of the fully packed loop-O(n) model on planar triangulations
Nathanael Berestycki, William Da Silva
arXiv:2512.05867 (associated to Project 2) - Further results on the free energy of the random field Ising chain in the case of centered disorder
Orphée Collin
arXiv:2511.18912 (associated to Project 9) - The number of monotone trapezoids with prescribed bottom row
Ilse Fischer, Hans Höngesberg
arXiv:2502.09343 (associated to Project 4)
PREPRINTS 2024
- Convergence of dynamical stationary fluctuations
Cyril Labbé, Benoît Laslier, Fabio Toninelli, Lorenzo Zambotti
arXiv:2404.18803 (associated to Project 9) - Universal behaviour of majority bootstrap percolation on high-dimensional geometric graphs
Mauricio Collares, Joshua Erde, Anna Geisler, Mihyun Kang
arXiv:2406.17486 (associated to Project 5) - Multiple Rogers-Ramanujan type identities for torus links
Shane Chern
arXiv:2411.07198 (associated to Project 6) - Near-critical dimers and massive SLE
Nathanael Berestycki, Levi Haunschmid-Sibitz
arXiv:2203.15717 (associated to Project 2)