Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Clément Hongler"'
Publikováno v:
ArXiv-Math-PH
Critical statistical mechanics and Conformal Field Theory (CFT) are conjecturally connected since the seminal work of Beliavin, Polyakov, and Zamolodchikov [BPZ84a]. Both exhibit exactly solvable structures in two dimensions. A long-standing question
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::706ad72230180f5694454ae002c3b839
https://doi.org/10.1007/s00220-022-04475-x
https://doi.org/10.1007/s00220-022-04475-x
Publikováno v:
ArXiv-Math-PH
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=r3c4b2081b22::d39f7d4aedd2a1ad75845e3f2369705d
Publikováno v:
SSRN Electronic Journal.
We introduce the SPRIG (Smart Proofs via Recursive Information Gathering) protocol. SPRIG allows agents to propose, question, and defend mathematical proofs in a decentralized fashion. A structure of stakes and bounties aims at producing debates in g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b10ba16a20362ffff6c29c52269f9db4
https://doi.org/10.2139/ssrn.4289599
https://doi.org/10.2139/ssrn.4289599
This book introduces the mathematical ideas connecting Statistical Mechanics and Conformal Field Theory (CFT). Building advanced structures on top of more elementary ones, the authors map out a well-posed road from simple lattice models to CFTs. Stru
This thesis is centered on questions coming from Machine Learning (ML) and Statistical Field Theory (SFT). In Machine Learning, we consider the subfield of Supervised Learning (SL), and in particular regression tasks where one tries to find a regress
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3ebbff5bdc2b30bebfe0167a20256ab
Publikováno v:
ArXiv-Math-PH
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=r3c4b2081b22::0ce9fa77c77f696d88bc190749a66b5d
Autor:
Clément Hongler, Stéphane Benoist
Publikováno v:
Ann. Probab. 47, no. 4 (2019), 2049-2086
The Annals of Probability
The Annals of Probability
In this paper, we consider the set of interfaces between $+$ and $-$ spins arising for the critical planar Ising model on a domain with $+$ boundary conditions, and show that it converges to nested CLE$_{3}$. ¶ Our proof relies on the study of the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81088d3ff5a14b99a5f75d4c5dfb6794
https://projecteuclid.org/euclid.aop/1562205701
https://projecteuclid.org/euclid.aop/1562205701
Autor:
Arthur Jacot, Matthieu Wyart, Giulio Biroli, Stéphane d'Ascoli, Clément Hongler, Franck Gabriel, Mario Geiger, Stefano Spigler, Levent Sagun
Supervised deep learning involves the training of neural networks with a large number $N$ of parameters. For large enough $N$, in the so-called over-parametrized regime, one can essentially fit the training data points. Sparsity-based arguments would
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e145c059482d2ea1a506411ff1a2a052
Autor:
Sung Chul Park, Clément Hongler
This thesis is devoted to the study of the local fields in the Ising model. The scaling limit of the critical Ising model is conjecturally described by Conformal Field Theory. The explicit predictions for the building blocks of the continuum theory (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f010452676d0b6fa3c2a0abbe3b800fe
Publikováno v:
Comptes Rendus Mathematique. 352:157-161
We show how to combine our earlier results to deduce strong convergence of the interfaces in the planar critical Ising model and its random-cluster representation to Schramm’s SLE curves with parameter κ = 3 and κ = 16 / 3 respectively.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5b1ab95b58eb26ac5095657099e0c813
https://doi.org/10.1016/j.crma.2013.12.002
https://doi.org/10.1016/j.crma.2013.12.002