Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Franck Gabriel"'
Autor:
Sylvain Carre, Franck Gabriel
Publikováno v:
SSRN Electronic Journal.
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
Publikováno v:
Ann. Probab. 49, no. 1 (2021), 157-179
The Annals of Probability
The Annals of Probability
We prove that independent families of permutation invariant random matrices are asymptotically free with amalgamation over the diagonal, both in expectation and in probability, under a uniform boundedness assumption on the operator norm. We can relax
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
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2017, 352 (3), pp.967-978. ⟨10.1007/s00220-017-2857-2⟩
Communications in Mathematical Physics, Springer Verlag, 2017, 352 (3), pp.967-978. ⟨10.1007/s00220-017-2857-2⟩
We prove the Makeenko-Migdal equation for two-dimensional Euclidean Yang-Mills theory on an arbitrary compact surface, possibly with boundary. In particular, we show that two of the proofs given by the first, third, and fourth authors for the plane c
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
Publikováno v:
Bruned, Y, Gabriel, F, Hairer, M & Zambotti, L 2021, ' Geometric stochastic heat equations ', Journal of the american mathematical society, vol. 35, pp. 1-80 . https://doi.org/10.1090/jams/977
Bruned, Y, Gabriel, F, Hairer, M & Zambotti, L 2019 ' Geometric stochastic heat equations ' . < https://arxiv.org/abs/1902.02884 >
Bruned, Y, Gabriel, F, Hairer, M & Zambotti, L 2019 ' Geometric stochastic heat equations ' . < https://arxiv.org/abs/1902.02884 >
We consider a natural class of $\mathbf{R}^d$-valued one-dimensional stochastic PDEs driven by space-time white noise that is formally invariant under the action of the diffeomorphism group on $\mathbf{R}^d$. This class contains in particular the KPZ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7c7fb2c05b4a21fa9ad664cb6be5a3a
Publikováno v:
SSRN Electronic Journal.
We establish existence and uniqueness of equilibrium in a generalized one-period Kyle (1985) model where insider trading can be subject to a penalty cost that is non-decreasing in the trade size. The result is obtained for uniform noise and holds for
We consider a one-period Kyle (1985) framework where the insider can be subject to a penalty if she trades. We establish existence and uniqueness of equilibrium for virtually any penalty function when noise is uniform. In equilibrium, the demand of t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::469ae79a163c16db0682415362af9fff
http://arxiv.org/abs/1809.07545
http://arxiv.org/abs/1809.07545
Publikováno v:
Journal of Geometry and Physics
Journal of Geometry and Physics, Elsevier, 2017, 119, pp.34-53. ⟨10.1016/j.geomphys.2017.04.012⟩
Journal of Geometry and Physics, 2017, 119, pp.34-53. ⟨10.1016/j.geomphys.2017.04.012⟩
Journal of Geometry and Physics, Elsevier, 2017, 119, pp.34-53. ⟨10.1016/j.geomphys.2017.04.012⟩
Journal of Geometry and Physics, 2017, 119, pp.34-53. ⟨10.1016/j.geomphys.2017.04.012⟩
The master field is the large N limit of the Yang-Mills measure on the Euclidean plane. It can be viewed as a non-commutative process indexed by loops on the plane. We construct and study generalized master fields, called free planar Markovian holono
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::44ca4dacd7f91e63cb01b42189033029
https://hal.archives-ouvertes.fr/hal-01738703
https://hal.archives-ouvertes.fr/hal-01738703