Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Rémi Catellier"'
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 31:2597-2641
The propagation of chaos property for a system of interacting particles, describing the spatial evolution of a network of interacting filaments is studied. The creation of a network of mycelium is analyzed as representative case, and the generality o
Autor:
Florence Chapeland-Leclerc, Pascal David, Eric Herbert, Gwenaël Ruprich-Robert, Sébastien Herbert, Rémi Catellier, Hervé Lalucque, Laurent Monasse, Matthieu Rieu, Adélaïde Olivier, Christophe Lalanne, Jonathan Dikec, Yves D’Angelo, Cécilia Bobée, Amandine Véber, Frédéric Filaine
Publikováno v:
Scientific Reports
Scientific Reports, Nature Publishing Group, 2020, 10 (3131), ⟨10.1038/s41598-020-57808-y⟩
Scientific Reports, Vol 10, Iss 1, Pp 1-16 (2020)
Scientific Reports, Nature Publishing Group, 2020, 10 (3131), ⟨10.1038/s41598-020-57808-y⟩
Scientific Reports, Vol 10, Iss 1, Pp 1-16 (2020)
The success of filamentous fungi in colonizing most natural environments can be largely attributed to their ability to form an expanding interconnected network, the mycelium, or thallus, constituted by a collection of hyphal apexes in motion producin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9da8d2072ddf2109d2d9201b39cee3e3
https://hal.archives-ouvertes.fr/hal-02488806
https://hal.archives-ouvertes.fr/hal-02488806
Publikováno v:
Electronic Journal of Probability
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2020, 25, paper no. 21, 51 pp. ⟨10.1214/19-EJP409⟩
Electronic Journal of Probability, 2020, 25, paper no. 21, 51 pp. ⟨10.1214/19-EJP409⟩
Electron. J. Probab.
Electronic Journal of Probability, Institute of Mathematical Statistics (IMS), 2020, 25, paper no. 21, 51 pp. ⟨10.1214/19-EJP409⟩
Electronic Journal of Probability, 2020, 25, paper no. 21, 51 pp. ⟨10.1214/19-EJP409⟩
Electron. J. Probab.
We provide in this work a robust solution theory for random rough differential equations of mean field type $$ dX_t = V(X_t,\mathcal{L}(X_t))dt + F(X_t,\mathcal{L}(X_t))dW_t, $$ where $W$ is a random rough path and $\mathcal{L}(X_t)$ stands for the l
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::264998919bc5fdddb7401dcb844de1fd
https://hal.archives-ouvertes.fr/hal-02491950
https://hal.archives-ouvertes.fr/hal-02491950
Autor:
Rémi Catellier, Ismael Bailleul
Publikováno v:
Annales de la Faculté des Sciences de Toulouse. Mathématiques.
Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc In press
Annales de la Faculté des Sciences de Toulouse. Mathématiques., In press
Annales de la Faculté des Sciences de Toulouse. Mathématiques., Université Paul Sabatier _ Cellule Mathdoc In press
We give in this note a simple treatment of the non-explosion problem for rough differential equations driven by unbounded vector fields and weak geometric rough paths of arbitrary roughness.
27 pages; v2: a typo in the proof of Theorem 23 correc
27 pages; v2: a typo in the proof of Theorem 23 correc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73e893e214426f5d5c56a2fd1995e30e
https://hal.science/hal-02339348/document
https://hal.science/hal-02339348/document
Autor:
Rémi Catellier, Massimiliano Gubinelli
Publikováno v:
Stochastic Processes and their Applications. 126:2323-2366
We consider the ordinary differential equation (ODE) dxt=b(t,xt)dt+dwt where w is a continuous driving function and b is a time-dependent vector field which possibly is only a distribution in the space variable. We quantify the regularising propertie
Autor:
Rémi Catellier
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2016, 4 (3), pp.477-534. 〈10.1007/s40072-016-0069-y〉
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2016, 4 (3), pp.477-534. ⟨10.1007/s40072-016-0069-y⟩
Stochastics and Partial Differential Equations: Analysis and Computations, 2016, 4 (3), pp.477-534. ⟨10.1007/s40072-016-0069-y⟩
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2016, 4 (3), pp.477-534. 〈10.1007/s40072-016-0069-y〉
Stochastics and Partial Differential Equations: Analysis and Computations, Springer US, 2016, 4 (3), pp.477-534. ⟨10.1007/s40072-016-0069-y⟩
Stochastics and Partial Differential Equations: Analysis and Computations, 2016, 4 (3), pp.477-534. ⟨10.1007/s40072-016-0069-y⟩
We study the linear transport equation $$\begin{aligned} \frac{\partial }{\partial t} u ( t,x ) +b ( t,x ) \cdot \nabla u ( t,x ) + \nabla u ( t,x ) \cdot \frac{\partial }{\partial t} X ( t ) =0, \quad u ( 0,x ) =u_{0} (x) \end{aligned}$$ where b is
Autor:
Rémi Catellier, Ismael Bailleul
Publikováno v:
Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2017, 263 (8), pp.4894-4928. ⟨10.1016/j.jde.2017.06.006⟩
Journal of Differential Equations, Elsevier, 2017, 263 (8), pp.4894-4928. 〈10.1016/j.jde.2017.06.006〉
Journal of Differential Equations, 2017, 263 (8), pp.4894-4928. ⟨10.1016/j.jde.2017.06.006⟩
Journal of Differential Equations, Elsevier, 2017, 263 (8), pp.4894-4928. ⟨10.1016/j.jde.2017.06.006⟩
Journal of Differential Equations, Elsevier, 2017, 263 (8), pp.4894-4928. 〈10.1016/j.jde.2017.06.006〉
Journal of Differential Equations, 2017, 263 (8), pp.4894-4928. ⟨10.1016/j.jde.2017.06.006⟩
We provide in this work a tool-kit for the study of homogenisation of random ordinary differential equations, under the form of a friendly-user black box based on the tehcnology of rough flows. We illustrate the use of this setting on the example of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::21c9890e490d36b617dd307b4157d6b6
https://hal.archives-ouvertes.fr/hal-01278161
https://hal.archives-ouvertes.fr/hal-01278161
Autor:
Khalil Chouk, Rémi Catellier
Publikováno v:
Ann. Probab. 46, no. 5 (2018), 2621-2679
We prove the existence and uniqueness of a local solution to the periodic renormalized $\Phi^4_3$ model of stochastic quantisation using the method of controlled distributions introduced recently by Imkeller, Gubinelli and Perkowski ("Paraproducts, r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4c2035103ce30b409d9facc8ff04f09b
http://arxiv.org/abs/1310.6869
http://arxiv.org/abs/1310.6869
Autor:
Bechtold, Florian, Wichmann, Jörn
Publikováno v:
Journal of Evolution Equations; Dec2023, Vol. 23 Issue 4, p1-27, 27p
Autor:
Dikec, J.1 (AUTHOR), Olivier, A.2 (AUTHOR), Bobée, C.1 (AUTHOR), D’Angelo, Y.3,4 (AUTHOR), Catellier, R.3 (AUTHOR), David, P.1 (AUTHOR), Filaine, F.1 (AUTHOR), Herbert, S.5 (AUTHOR), Lalanne, Ch.1 (AUTHOR), Lalucque, H.1 (AUTHOR), Monasse, L.3,4 (AUTHOR), Rieu, M.1 (AUTHOR), Ruprich-Robert, G.1 (AUTHOR), Véber, A.6 (AUTHOR), Chapeland-Leclerc, F.1 (AUTHOR), Herbert, E.1 (AUTHOR) eric.herbert@univ-paris-diderot.fr
Publikováno v:
Scientific Reports. 2/21/2020, Vol. 10 Issue 1, p1-9. 9p.