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Critical behavior of lattice models

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

On the self-overlap in vector spin glasses (opens in new window)

Author(s): Hong-Bin Chen
Published in: Crossref, Issue 1, 2023
Publisher: arxiv
DOI: 10.1063/5.0196632

Near critical scaling relations for planar Bernoulli percolation without differential inequalities (opens in new window)

Author(s): Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent
Published in: Issue 6, 2021
Publisher: arxiv
DOI: 10.48550/arxiv.2111.14414

Delocalisation and continuity in 2D: loop O(2), six-vertex, and random-cluster models (opens in new window)

Author(s): Glazman, Alexander; Lammers, Piet
Published in: 2023, Issue 3, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2306.01527

Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules (opens in new window)

Author(s): Duminil-Copin, Hugo; Hartarsky, Ivailo
Published in: Issue 6, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2303.13920

Parisi PDE and convexity for vector spins (opens in new window)

Author(s): Chen, Hong-Bin
Published in: Issue 3, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2311.10446

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

Conformal invariance of random currents: a stability result (opens in new window)

Author(s): Chen, Hong-Bin; Xia, Jiaming
Published in: Issue 3, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2306.10625

A characterization of strong percolation via disconnection (opens in new window)

Author(s): Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco; Teixeira, Augusto
Published in: Issue 6, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2308.07920

Finite range interlacements and couplings (opens in new window)

Author(s): Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco; Teixeira, Augusto
Published in: Issue 6, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2308.07303

On Parisi measures of Potts spin glasses with correction (opens in new window)

Author(s): Chen, Hong-Bin
Published in: Issue 3, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2311.11699

A dichotomy theory for height functions (opens in new window)

Author(s): Lammers, Piet
Published in: Issue 2, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2211.14365

Bijecting the BKT transition (opens in new window)

Author(s): Lammers, Piet
Published in: Issue 2, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2301.06905

Free energy in spin glass models with conventional order (opens in new window)

Author(s): Chen, Hong-Bin
Published in: Issue 4, 2024
Publisher: arxiv
DOI: 10.48550/arxiv.2401.10223

Geometry of Gaussian free field sign clusters and random interlacements

Author(s): Drewitz, Alexander; Prévost, Alexis; Rodriguez, Pierre-François
Published in: 2018
Publisher: arXiv

Equality of critical parameters for percolation of Gaussian free field level-sets (opens in new window)

Author(s): H. Duminil-Copin, S. Goswami, Rodriguez, Pierre-François and F. Severo
Published in: Duke Math. J., 2023, Page(s) 1-75
Publisher: arXiv
DOI: 10.1215/00127094-2022-0017

Phase transition for the vacant set of random walk and random interlacements (opens in new window)

Author(s): Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco; Teixeira, Augusto
Published in: Issue 6, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2308.07919

A PDE perspective on the Aizenman-Sims-Starr scheme (opens in new window)

Author(s): Chen, Hong-Bin
Published in: Issue 4, 2022
Publisher: arxiv
DOI: 10.48550/arxiv.2212.09542

Conformal invariance of double random currents II: tightness and properties in the discrete (opens in new window)

Author(s): Duminil-Copin, Hugo; Lis, Marcin; Qian, Wei
Published in: Issue 3, 2021
Publisher: arxiv
DOI: 10.48550/arxiv.2107.12880

Self-overlap correction simplifies the Parisi formula for vector spins (opens in new window)

Author(s): Chen, Hong-Bin
Published in: Crossref, Issue 1, 2023
Publisher: arxiv
DOI: 10.1214/23-ejp1062

Long-Range Order for Critical Book-Ising and Book-Percolation (opens in new window)

Author(s): Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent
Published in: 2020, Issue 6, 2020
Publisher: arxiv
DOI: 10.1007/s00220-023-04856-w

On the radius of Gaussian free field excursion clusters

Author(s): Subhajit Goswami, Pierre-Francois Rodriguez, Franco Severo
Published in: 2021
Publisher: arxiv

On the free energy of vector spin glasses with non-convex interactions (opens in new window)

Author(s): Chen, Hong-Bin; Mourrat, Jean-Christophe
Published in: https://hal.science/hal-04290374, Issue 3, 2023
Publisher: arxiv
DOI: 10.48550/arxiv.2311.08980

Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension d≥3 (opens in new window)

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

Emergent Planarity in two-dimensional Ising Models with finite-range Interactions (opens in new window)

Author(s): M. Aizenman, H. Duminil-Copin, V. Tassion and S. Warzel
Published in: Inventiones Mathematicae, Issue 216, 2019, Page(s) 661–743, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-018-00851-4

Height function delocalisation on cubic planar graphs (opens in new window)

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 (opens in new window)

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 (opens in new window)

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

Exponential decay of connection probabilities for subcritical Voronoi percolation in $\mathbb R^d$ (opens in new window)

Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion
Published in: Probability Theory and Related Fields, Issue 173, 2018, Page(s) 479–490, ISSN 0178-8051
Publisher: Springer Verlag
DOI: 10.1007/s00440-018-0838-9

UST branches, martingales, and multiple SLE(2) (opens in new window)

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 (opens in new window)

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 (opens in new window)

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 (opens in new window)

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

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

Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion (opens in new window)

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 (opens in new window)

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 (opens in new window)

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 (opens in new window)

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

Upper bounds on the percolation correlation length (opens in new window)

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, ISSN 1050-6977
Publisher: Birkhauser
DOI: 10.1007/978-3-030-60754-8_16

Subcritical phase of d-dimensional Poisson-Boolean percolation and its vacant set (opens in new window)

Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion
Published in: Annales Henri Lebesgue, Issue 3, 2020, Page(s) 677-700, ISSN 2644-9463
Publisher: centre mersenne
DOI: 10.5802/ahl.43

Logarithmic variance for the height function of square-ice (opens in new window)

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 (opens in new window)

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 (opens in new window)

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

SIXTY YEARS OF PERCOLATION (opens in new window)

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

Marginal triviality of the scaling limits of critical 4D Ising and ϕ^4_4 models (opens in new window)

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

100 years of the (critical) Ising model on the hypercubic lattice (opens in new window)

Author(s): Duminil-Copin, Hugo
Published in: 2022, Issue 1, 2022
Publisher: arxiv
DOI: 10.4171/icm2022/204

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