107 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR169 papers
- Université Savoie Mont BlancFR162 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR85 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR33 papers
- Laboratoire Jean-Alexandre DieudonnéFR21 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR21 papers
- Université Grenoble AlpesFR19 papers
- Université Paris-Est CréteilFR19 papers
- University College DublinIE17 papers
- Université Nice Sophia AntipolisFR16 papers
- Pontifícia Universidade Católica do ParanáBR15 papers
34 papers · 1 filter
Extensions with shrinking fibers
Benoit Kloeckner
We consider dynamical systems that are extensions of a factor through a projection with shrinking fibers, i.e. such that is uniformly con…
On the multi-symplectic structure of Boussinesq-type systems. I: Derivation and mathematical properties
Angel Durán, Denys Dutykh, Dimitrios Mitsotakis
The Boussinesq equations are known since the end of the XIXst century. However, the proliferation of various \textsc{Boussinesq}-type systems started only in the second half of the…
Motivic wave front sets
Michel Raibaut
The concept of wave front set was introduced in 1969-1970 by M. Sato in the hyperfunctions context and by L. Hörmander in the context. Howe used the theory of…
BD Entropy and Bernis-Friedman Entropy
Didier Bresch, Mathieu Colin, Khawla Msheik +2
In this note, we propose in the full generality a link between the BD entropy introduced by D. Bresch andB. Desjardins for the viscous shallow-water equations and the Bernis-Friedm…
Well-Posedness for Some Non-Linear Diffusion Processes and Related PDE on the Wasserstein Space
Paul-Eric Chaudru de Raynal, Noufel Frikha
In this paper, we investigate the well-posedness of the martingale problem associated to non-linear stochastic differential equations (SDEs) in the sense of McKean-Vlasov under mil…
Asymptotic analysis of a quantitative genetics model withnonlinear integral operator
Vincent Calvez, Jimmy Garnier, Florian Patout
We study the asymptotic behavior of stationary solutions to a quantitative genetics model with trait-dependent mortality and sexual reproduction. The infinitesimal model accounts f…
Numerical methods for piecewise deterministic Markov processes with boundary
Ludovic Goudenège
In this paper is described the general aspect of a numerical method for piecewise determin-istic Markov processes with boundary. Under very natural hypotheses, a crucial result abo…
Motivic and analytic nearby fibers at infinity and bifurcation sets
Lorenzo Fantini, Michel Raibaut
In this paper we use motivic integration and non-archimedean analytic geometry to study the singularities at infinity of the fibers of a polynomial map $f\colon \mathbb A^d_\mathbb…
Strong regularization by Brownian noise propagating through a weak H{ö}rmander structure
Paul-Eric Chaudru de Raynal, Igor Honoré, Stephane Menozzi
We establish strong uniqueness for a class of degenerate SDEs of weak H{ö}rmander type under suitable H{ö}lder regularity conditions for the associated drift term. Our approach rel…
Convenient Partial Poisson Manifolds
F. Pelletier, P. Cabau
We introduce the concept of partial Poisson structure on a manifold modelled on a convenient space. This is done by specifying a (weak) subbundle of a…
Regions of multistationarity in cascades of Goldbeter-Koshland loops
Magalí Giaroli, Frédéric Bihan, Alicia Dickenstein
We consider cascades of enzymatic Goldbeter-Koshland loops with any number n of layers, for which there exist two layers involving the same phosphatase. Even if the number of varia…
On Darboux Theorem for symplectic forms on direct limits of symplectic Banach manifolds
F. Pelletier
Given an ascending sequence of weak symplectic Banach manifolds on which the Darboux theorem is true, we can ask about conditions under which the Darboux Theorem is also true on th…
Abstract Representation of Binders in OCaml using the Bindlib Library
Rodolphe Lepigre, Christophe Raffalli
The Bindlib library for OCaml provides a set of tools for the manipulation of data structures with variable binding. It is very well suited for the representation of abstract synta…
Mean square rate of convergence for random walk approximation of forward-backward SDEs
Christel Geiss, Céline Labart, Antti Luoto
Let (Y, Z) denote the solution to a forward-backward SDE. If one constructs a random walk B n from the underlying Brownian motion B by Skorohod embedding, one can show L 2 converge…
Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets
Jean-Baptiste Campesato, Toshizumi Fukui, Krzysztof Kurdyka +1
We investigate connections between Lipschitz geometry of real algebraic varieties and properties of their arc spaces. For this purpose we develop motivic integration in the real al…
Hörmander functional calculus on UMD lattice valued spaces under generalised Gaussian estimates
Luc Deleaval, Mikko Kemppainen, Christoph Kriegler
We consider self-adjoint semigroups acting on and satisfying (generalised) Gaussian estimates, where is a metric measure space of homogeneous type of…
Weakly singular shock profiles for a non-dispersive regularization of shallow-water equations
Yue Pu, Robert Pego, Denys Dutykh +1
We study a regularization of the classical Saint-Venant (shallow-water) equations, recently introduced by D. Clamond and D. Dutykh (Commun. Nonl. Sci. Numer. Simulat. 55 (2018) 237…
Direct dynamical energy cascade in the modified KdV equation
Denys Dutykh, Elena Tobisch
In this study we examine the energy transfer mechanism during the nonlinear stage of the Modulational Instability (MI) in the modified Korteweg-de Vries equation. The particularity…
On the solution of coupled heat and moisture transport in porous material
Julien Berger, Suelen Gasparin, Denys Dutykh +1
Comparisons of experimental observation of heat and moisture transfer through porous building materials with numerical results have been presented in numerous studies reported in l…
Optimization of a plate with holes
Dan Tiba, Cornel Marius Murea
We consider a simply supported plate with constant thickness, defined on an unknown multiply connected domain. We optimize its shape according to some given performance functional.…
Estimation of the extreme value index in a censorship framework: asymptotic and finite sample behaviour
Jan Beirlant, Julien Worms, Rym Worms
We revisit the estimation of the extreme value index for randomly censored data from a heavy tailed distribution. We introduce a new class of estimators which encompasses earlier p…
Analysis and improvement of the VTT mold growth model: application to bamboo fiberboard
Julien Berger, Hervé Le Meur, Denys Dutykh +2
The reliability of a model is its accuracy in predicting the physical phenomena using the known input parameters. It also depends on the model's ability to estimate relevant parame…
Asymptotic nonlinear and dispersive pulsatile flow in elastic vessels with cylindrical symmetry
Dimitrios Mitsotakis, Denys Dutykh, Li Qian
The asymptotic derivation of a new family of one-dimensional, weakly nonlinear and weakly dispersive equations that model the flow of an ideal fluid in an elastic vessel is present…
A Polyhedral Method for Sparse Systems with many Positive Solutions
Frédéric Bihan, Francisco Santos, Pierre-Jean Spaenlehauer
We investigate a version of Viro's method for constructing polynomial systems with many positive solutions, based on regular triangulations of the Newton polytope of the system. Th…