Zobrazeno 1 - 10
of 535
pro vyhledávání: '"P. Hocquet"'
A summary of recent contributions in the field of rough partial differential equations is given. For that purpose we rely on the formalism of ``unbounded rough driver''. We present applications to concrete models including Landau-Lifshitz-Gilbert, Na
Externí odkaz:
http://arxiv.org/abs/2501.01186
Autor:
Ani Horikian, Audrey Jeanvoine, Abdallah Amarache, Morgane Tourtet, Jérôme Ory, Hélène Boulestreau, Nathalie Van der Mee Marquet, Nadine Lemaitre, Matthieu Eveillard, Didier Lepelletier, Xavier Bertrand, Benoît Valot, Didier Hocquet
Publikováno v:
npj Clean Water, Vol 7, Iss 1, Pp 1-8 (2024)
Abstract Pseudomonas aeruginosa is a major opportunistic pathogen responsible for severe infections in immunocompromised patients. The contamination of drinking water networks (DWNs) with this pathogen is underestimated, as it is mostly in the state
Externí odkaz:
https://doaj.org/article/760f1f028aef4f78a86f1fadd83bfa06
Autor:
Hocquet, Antoine, Neamţu, Alexandra
We investigate the abstract Cauchy problem for a quasilinear parabolic equation in a Banach space of the form \( du_t -L_t(u_t)u_t dt = N_t(u_t)dt + F(u_t)\cdot d\mathbf X_t \), where \( \mathbf X\) is a \( \gamma\)-H\"older rough path for \( \gamma\
Externí odkaz:
http://arxiv.org/abs/2207.04787
Autor:
Hocquet, Antoine, Vogler, Alexander
We introduce a variant of the multiplicative Sewing Lemma in [Gerasimovi\v{c}s, Hocquet, Nilssen; J. Funct. Anal. 281 (2021)] which yields arbitrary high order weak approximations to stochastic differential equations, extending the cubature approxima
Externí odkaz:
http://arxiv.org/abs/2206.10297
We establish a simultaneous generalization of It\^o's theory of stochastic and Lyons' theory of rough differential equations. The interest in such a unification comes from a variety of applications, including pathwise stochastic filtering, - control
Externí odkaz:
http://arxiv.org/abs/2106.10340
Autor:
Gussetti, Emanuela, Hocquet, Antoine
Using a rough path formulation, we investigate existence, uniqueness and regularity for the stochastic Landau-Lifshitz-Gilbert equation with Stratonovich noise on the one dimensional torus. As a main result we show the continuity of the so-called It\
Externí odkaz:
http://arxiv.org/abs/2103.00926
Autor:
Hocquet, Antoine, Vogler, Alexander
We are interested in the optimal control problem associated with certain quadratic cost functionals depending on the solution $X=X^\alpha$ of the stochastic mean-field type evolution equation in $\mathbb R^d$ $dX_t=b(t,X_t,\mathcal L(X_t),\alpha_t)dt
Externí odkaz:
http://arxiv.org/abs/2007.01321
In the field of Continual Learning, the objective is to learn several tasks one after the other without access to the data from previous tasks. Several solutions have been proposed to tackle this problem but they usually assume that the user knows wh
Externí odkaz:
http://arxiv.org/abs/2006.13772
Autor:
Sophie Hecquet, Perle Totoson, Hélène Martin, Marie-Paule Algros, Philippe Saas, Jean-Paul Pais-de-Barros, Alban Atchon, Benoît Valot, Didier Hocquet, Maude Tournier, Clément Prati, Daniel Wendling, Céline Demougeot, Frank Verhoeven
Publikováno v:
Arthritis Research & Therapy, Vol 25, Iss 1, Pp 1-12 (2023)
Abstract Background Intestinal inflammation, dysbiosis, intestinal permeability (IP), and bacterial translocation (BT) have been identified in patients with spondyloarthritis but the time at which they appear and their contribution to the pathogenesi
Externí odkaz:
https://doaj.org/article/4620a1ef7cef42dab135bd4b38a2404a
We investigate existence, uniqueness and regularity for local solutions of rough parabolic equations with subcritical noise of the form $du_t- L_tu_tdt= N(u_t)dt + \sum_{i = 1}^dF_i(u_t)d\mathbf X^i_t$ where $(L_t)_{t\in[0,T]}$ is a time-dependent fa
Externí odkaz:
http://arxiv.org/abs/1907.13398