Connecting Statistical Mechanics and Conformal Field Theory: an Ising Model Perspective

Publications

Other (8)

Implicit Regularization of Random Feature Model

Author(s): Arthur Jacot, Berfin Şimşek, Francesco Spadaro, Clément Hongler, Franck Gabriel
Published in: ArXiv - Math - PH, 2020
Publisher: Cornell University
DOI: 10.48550/arxiv.2002.08404

Combinatorial Cobordism Theory

Author(s): Maxime Savoy
Published in: ArXiv - Math- PH, 2022
Publisher: Cornell University
DOI: 10.48550/arxiv.2202.13722

On the construction of discrete fermions in the FK-Ising model

Author(s): Francesco Spadaro
Published in: ArXiv - Math- PH, 2020
Publisher: Cornell University
DOI: 10.48550/arxiv.2003.13305

Conformal Field Theory at the Lattice Level: Discrete Complex Analysis and VirasoroStructure

Author(s): Clément Hongler, Fredrik Johansson Viklund, Kalle Kytölä
Published in: ArXiv - Math- PH, 2019
Publisher: Cornell University
DOI: 10.48550/arxiv.1307.4104

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Author(s): Berfin Şimşek, François Ged, Arthur Jacot, Francesco Spadaro, Clément Hongler, Wulfram Gerstner, Johanni Brea
Published in: ArXiv - Math - PH, 2021
Publisher: Cornell University
DOI: 10.48550/arxiv.2105.12221

Kernel Alignment Risk Estimator: Risk Prediction from Training Data

Author(s): Arthur Jacot, Berfin Şimşek, Francesco Spadaro, Clément Hongler, Franck Gabriel
Published in: ArXiv - Math - PH, 2020
Publisher: Cornell University
DOI: 10.48550/arxiv.2006.09796

Magnetization in the zig-zag layered Ising model and orthogonal polynomials [arXiv preprint arXiv:1904.09168]

Author(s): Dmitry Chelkak, Clément Hongler, Rémy Mahfouf
Published in: ArXiv - Math- PH, 2021
Publisher: Cornell University
DOI: 10.48550/arxiv.1904.09168

Correlations of primary fields in the critical Ising model (Dmitry Chelkak, Clément Hongler,Konstantin Izyurov)

Author(s): Dmitry Chelkak, Clément Hongler, Konstantin Izyurov
Published in: ArXiv - Math - PH, 2022
Publisher: Cornell University
DOI: 10.48550/arxiv.2103.10263

Thesis dissertations (2)

Complex Analysis meets Statistical Mechanics: Applications to Kernel Methods and Conformal Field Theory

Author(s): Francesco Spadaro, Clément Hongler
Published in: 2021
Publisher: EPFL
DOI: 10.5075/epfl-thesis-8786

Ising Model and Field Theory: Lattice Local Fields and Massive Scaling Limit

Author(s): Sung Chul Park, Clément Hongler
Published in: 2019
Publisher: EPFL
DOI: 10.5075/epfl-thesis-7741

Peer reviewed articles (2)

The scaling limit of critical Ising interfaces is $\mathrm{CLE}_{3}$

Author(s): Stéphane Benoist, Clément Hongler
Published in: The Annals of Probability, 47/4, 2019, Page(s) 2049-2086, ISSN 0091-1798
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/18-aop1301

Ising Model: Local Spin Correlations and Conformal Invariance

Author(s): Reza Gheissari, Clément Hongler, S. C. Park
Published in: Communications in Mathematical Physics, 367/3, 2019, Page(s) 771-833, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-019-03312-y