Publications Peer reviewed articles (21) Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3 Author(s): Hugo Duminil-Copin, Alejandro Rivera, Pierre-François Rodriguez, Hugo Vanneuville Published in: Ann. Probab., Issue 51(1), 2023, Page(s) 228-276, ISSN 0091-1798 Publisher: Institute of Mathematical Statistics DOI: 10.1214/22-aop1594 Height function delocalisation on cubic planar graphs Author(s): Piet Lammers Published in: Probability Theory and Related Fields, Issue 182(1-2), 2022, Page(s) 531-550, ISSN 0178-8051 Publisher: Springer Verlag DOI: 10.1007/s00440-021-01087-9 Macroscopic loops in the loop {$O(n)$} model at {N}ienhuis' critical point Author(s): Duminil-Copin, Hugo and Glazman, Alexander and Peled, Ron and Spinka, Yinon Published in: Journal of the European Mathematical Society, Issue 23(1), 2021, Page(s) 315-347, ISSN 1435-9855 Publisher: European Mathematical Society Publishing House DOI: 10.4171/jems/1012 CLUSTER CAPACITY FUNCTIONALS AND ISOMORPHISM THEOREMSFOR GAUSSIAN FREE FIELDS Author(s): Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez Published in: Probability theory and related fields, Issue 183(1-2), 2021, Page(s) 255-313, ISSN 0178-8051 Publisher: Springer Verlag DOI: 10.1007/s00440-021-01090-0 UST branches, martingales, and multiple SLE(2) Author(s): Alex Karrila Published in: Electronic Journal of Probability, Issue 25/0, 2020, ISSN 1083-6489 Publisher: Institute of Mathematical Statistics DOI: 10.1214/20-ejp485 Universality for two-dimensional critical cellular automata Author(s): Béla Bollobás, Hugo Duminil-Copin, Robert Morris, Paul Smith Published in: Proceedings of the London Mathematical Society, Issue 116(2), 2023, Page(s) 620-703, ISSN 1460-244X Publisher: Wiley DOI: 10.1112/plms.12497 Planar random-cluster model: fractal properties of the critical phase Author(s): Duminil-Copin, H., Manolescu, I., Tassion, V. Published in: Probab. Theory Relat. Fields, Issue 181, 2021, Page(s) 401-449, ISSN 0178-8051 Publisher: Springer Verlag DOI: 10.1007/s00440-021-01060-6 On the Six-Vertex Model’s Free Energy Author(s): Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun, Ioan Manolescu & Tatiana Tikhonovskaia Published in: Commun. Math. Phys, Issue 395, 2022, Page(s) 1383–1430, ISSN 1432-0916 Publisher: Springer verlag DOI: 10.1007/s00220-022-04459-x Sharp phase transition for the random-cluster and Potts models via decision trees Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion Published in: Annals of Mathematics, Issue 189(1), 2019, Page(s) Princeton University, ISSN 0003-486X Publisher: Princeton University Press Exponential decay of connection probabilities for subcritical Voronoi percolation in $\mathbb R^d$ Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion Published in: Probability Theory and Related Fields, Issue 173(1–2), 2019, Page(s) 479–490, ISSN 0178-8051 Publisher: Springer Verlag On the double random current nesting field Author(s): H. Duminil-Copin and M. Lis Published in: Probability Theory and Related Fields, Issue 175(3-4), 2019, Page(s) 937-955, ISSN 0178-8051 Publisher: Springer Verlag Macroscopic loops in the loop O(n) model at Nienhuis’ critical point Author(s): H. Duminil-Copin, A. Glazman, R. Peled and Y. Spinka Published in: Journal of European MAthematical Society, 2020, ISSN 1435-9855 Publisher: European Mathematical Society Publishing House Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion Author(s): H. Duminil-Copin, S. Ganguly, A. Hammond, and I. Manolescu Published in: Annals of Probability, Issue 48(4), 2020, Page(s) 1644-1692, ISSN 0091-1798 Publisher: Institute of Mathematical Statistics DOI: 10.1214/19-aop1400 Existence of phase transition for percolation using the Gaussian Free Field Author(s): H. Duminil-Copin, S. Goswami, A. Raoufi, F. Severo and A. Yadin Published in: Duke Mathematical Journal, Issue 169(18), 2019, Page(s) 3539-3563, ISSN 0012-7094 Publisher: Duke University Press DOI: 10.1215/00127094-2020-0036 Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature Author(s): H. Duminil-Copin, S. Goswami and A. Raoufi Published in: Communications in Mathematical Physics, Issue 374(2), 2020, Page(s) 891–921, ISSN 0010-3616 Publisher: Springer Verlag Dimerization and Néel order in different quantum spin chains through a shared loop representation Author(s): M. Aizenman, H. Duminil-Copin, and S. Warzel Published in: Annales Henri Poincaré. A Journal of Theoretical and Mathematical Physics, Issue 21(8), 2020, Page(s) 2737--2774, ISSN 1424-0637 Publisher: Birkhauser Verlag DOI: 10.1007/s00023-020-00924-2 Renormalization of crossing probabilities in the planar random-cluster model Author(s): H. Duminil-Copin and V. Tassion Published in: Moscow Mathematical Journal, Issue 20(4), 2020, Page(s) 711--740, ISSN 1609-3321 Publisher: Independent University of Moscow DOI: 10.17323/1609-4514-2020-20-4-711-740 Emergent Planarity in two-dimensional Ising Models with finite-range Interactions Author(s): M. Aizenman, H. Duminil-Copin, V. Tassion and S. Warzel Published in: Inventiones Mathematicae, Issue 216(3), 2019, Page(s) 661-743, ISSN 0020-9910 Publisher: Springer Verlag Logarithmic variance for the height function of square-ice Author(s): H. Duminil-Copin, M. Harel, B. Laslier, A. Raoufi, G. Ray Published in: Communications in mathematical physics, Issue 396, 2022, Page(s) 867–902, ISSN 1432-0916 Publisher: Springer DOI: 10.1007/s00220-022-04483-x Planar random-cluster model: scaling relations Author(s): H.Duminil-Copin and I. Manolescu Published in: Forum of Mathematics Pi, Issue 10, E23, 83 pages, 2023, ISSN 2050-5086 Publisher: Cambridge university press DOI: 10.1017/fmp.2022.16 On the number of maximal paths in directed last-passage percolation Author(s): Hugo Duminil-Copin, Harry Kesten, Fedor Nazarov, Yuval Peres, and Vladas Sidoravicius Published in: Annals of Probability, Issue 48(5), 2020, Page(s) 2176-2188, ISSN 0091-1798 Publisher: Institute of Mathematical Statistics DOI: 10.1214/19-aop1419 Conference proceedings (1) SIXTY YEARS OF PERCOLATION Author(s): HUGO DUMINIL-COPIN Published in: Proceedings of the International Congress of Mathematicians (ICM 2018), 2019, Page(s) 2829-2856, ISBN 978-981-327-288-0 Publisher: WORLD SCIENTIFIC DOI: 10.1142/9789813272880_0162 Other (7) Delocalization of the height function of the six-vertex model Author(s): Duminil-Copin, Hugo; Karrila, Alex; Manolescu, Ioan; Oulamara, Mendes Published in: Issue 1, 2020 Publisher: arXiv UST branches, martingales, and multiple SLE(2) Author(s): Karrila, Alex Published in: 2020 Publisher: arXiv Geometry of Gaussian free field sign clusters and random interlacements Author(s): Drewitz, Alexander; Prévost, Alexis; Rodriguez, Pierre-François Published in: 2018 Publisher: arXiv Upper bounds on the percolation correlation length Author(s): H. Duminil-Copin, G. Kozma and V. Tassion Published in: In and out of equilibrium 3. Celebrating Vladas Sidoravicius, Issue 77, 2021, Page(s) 347-369 Publisher: Birkhauser series « Progress in Probability » Subcritical phase of d-dimensional Poisson-Boolean percolation and its vacant set Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion Published in: Annales Henri Lebesgue, Issue 3, 2020, Page(s) 677-700 Publisher: Mersenne DOI: 10.5802/ahl.43 Equality of critical parameters for percolation of Gaussian free field level-sets Author(s): H. Duminil-Copin, S. Goswami, Rodriguez, Pierre-François and F. Severo Published in: 2020 Publisher: arXiv On the radius of Gaussian free field excursion clusters Author(s): Subhajit Goswami, Pierre-Francois Rodriguez, Franco Severo Published in: 2021 Publisher: arxiv Non-peer reviewed articles (1) Marginal triviality of the scaling limits of critical 4D Ising and ϕ^4_4 models Author(s): M. Aizenman and H. Duminil-Copin Published in: Annals of Mathematics, Issue 194(1), 2021, Page(s) 163-235, ISSN 0003-486X Publisher: Princeton University Press DOI: 10.4007/annals.2021.194.1.3 Searching for OpenAIRE data... There was an error trying to search data from OpenAIRE No results available