Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Chouk, Khalil"'
Autor:
Chouk, Khalil, van Zuijlen, Willem
In this paper we consider the Anderson Hamiltonian with white noise potential on the box $[0,L]^2$ with Dirichlet boundary conditions. We show that all the eigenvalues divided by $\log L$ converge as $L\rightarrow \infty$ almost surely to the same de
Externí odkaz:
http://arxiv.org/abs/1907.01352
Autor:
Chouk, Khalil, Gess, Benjamin
We prove a path-by-path regularization by noise result for scalar conservation laws. In particular, this proves regularizing properties for scalar conservation laws driven by fractional Brownian motion and generalizes the respective results obtained
Externí odkaz:
http://arxiv.org/abs/1708.00823
Autor:
Chouk, Khalil
Dans cette thèse nous nous proposons de donner certaines applications et généralisations de la théorie des chemins rugueux contrôlé, qu’on peut résumer en trois thèmes : - Obtention d’une « bonne » notions de draps rugueux ce qui permet
Externí odkaz:
http://www.theses.fr/2014PA090002/document
We prove an invariance principle for the two-dimensional lattice parabolic Anderson model with small potential. As applications we deduce a Donsker type convergence result for a discrete random polymer measure, as well as a universality result for th
Externí odkaz:
http://arxiv.org/abs/1609.02471
Autor:
Allez, Romain, Chouk, Khalil
We define the Anderson hamiltonian on the two dimensional torus $\mathbb R^2/\mathbb Z^2$. This operator is formally defined as $\mathscr H:= -\Delta + \xi$ where $\Delta$ is the Laplacian operator and where $\xi$ belongs to a general class of singul
Externí odkaz:
http://arxiv.org/abs/1511.02718
Autor:
Cannizzaro, Giuseppe, Chouk, Khalil
We study existence and uniqueness of solution for stochastic differential equations with distributional drift by giving a meaning to the Stroock-Varadhan martingale problem associated such equations. The approach we exploit is the one of paracontroll
Externí odkaz:
http://arxiv.org/abs/1501.04751
(Due to the limit on the number of characters for an abstract set by arXiv, the full abstract can not be displayed here. See the abstract in the paper.) We study dispersive equations with a time non-homogeneous modulation acting on the linear dispers
Externí odkaz:
http://arxiv.org/abs/1406.7675
Autor:
Catellier, Rémi, Chouk, Khalil
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:
http://arxiv.org/abs/1310.6869
Autor:
Chouk, Khalil, Tindel, Samy
This article gives an account on various aspects of stochastic calculus in the plane. Specifically, our aim is 3-fold: (i) Derive a pathwise change of variable formula for a path indexed by a square, satisfying some H\"older regularity conditions wit
Externí odkaz:
http://arxiv.org/abs/1309.6604
Autor:
Chouk, Khalil, Gess, Benjamin
Publikováno v:
In Journal of Functional Analysis 1 September 2019 277(5):1469-1498
