De Lara, Michel

Are human perception and decision biases grounded in a form of rationality? You return to your camp after hunting or gathering. You see the grass moving. You do not know the probability that a snake is in the grass. Should you cross the grass — at the risk of being bitten by a snake — or make a long, hence costly, detour? Based on this storyline, w...

Trélat, Emmanuel Humbert, Emmanuel Privat, Yannick

We consider the wave equation on a closed Riemannian manifold $(M,g)$. Given a measurable subset $\omega$ of $M$ and given $T>0$, we establish that, if the metric $g$ is of class $C^2$ and if $\omega$ is regular enough, if the average time over $[0,T]$ of geodesic rays crossing $\overline\omega$ is greater than $1/2$ then the Geometric Control Cond...

Brogliato, Bernard

This Addendum/Erratum corrects some typos present in the monograph.

Boubel, Charles Juillet, Nicolas

Let µ = (µt)t∈R be any 1-parameter family of probability measures on R. Its quantile process (Gt)t∈R : ]0, 1[ → RR, given by Gt(α) = inf{x ∈ R : µt(]−∞, x]) > α}, is not Markov in general. We modify it to build the Markov process we call “Markov-quantile”.We ﬁrst describe the discrete analogue: if (µn)n∈Z is a family of probability measures on R, a...

Baratchart, Laurent Chevillard, Sylvain Cooman, Adam Olivi, Martine Seyfert, Fabien

We develop a theoretical framework for local stability analysis of active microwave circuits around an equilibrium. We first characterize linearized (partial) transfer functions of ideal circuits around such an equilibrium, and show they can be unstable even though there are no unstable poles. Next, we consider linearized transfer functions of real...

Chambolle, Antonin Ferrari, Luca Alberto Davide Merlet, Benoit
Published in
Advances in Calculus of Variations

Let h:ℝ→ℝ+{h:\mathbb{R}\to\mathbb{R}_{+}} be a lower semicontinuous subbadditive and even function such that h(0)=0{h(0)=0} and h(θ)≥α|θ|{h(\theta)\geq\alpha|\theta|} for some α>0{\alpha>0}. If T=τ(M,θ,ξ){T=\tau(M,\theta,\xi)} is a k-rectifiable chain, its h-mass is defined as 𝕄h(T):=∫Mh(θ)𝑑ℋk.\mathbb{M}_{h}(T):=\int_{M}h(\theta)\,d\mathcal{...

Lemoine, Jérôme Munch, Arnaud Pedregal, Pablo

We analyse two H −1 least-squares methods for the steady Navier-Stokes system of incompressible viscous fluids. Precisely, we show the convergence of minimizing sequences for the least-squares functional toward solutions. Numerical experiments support our analysis.

Magoulès, Frédéric Nguyen, Thi Phuong Kieu Omnes, Pascal Rozanova-Pierrat, Anna

In the aim to find the simplest and most efficient shape of a noise absorbing wall to dissipate the energy of a sound wave, we consider a frequency model (the Helmholtz equation) with a damping on the boundary. The damping on the boundary is firstly related with the damping in the volume, knowing the macroscopic parameters of a fixed porous medium....

Bachi, Katia Chauvière, Cédric Djellout, Hacène Abbas, Karim

In this paper, we develop a numerical approach based on Chaos expansions to analyze the sensitivity and the propagation of epistemic uncertainty through a queueing systems with breakdowns. Here, the quantity of interest is the stationary distribution of the model, which is a function of uncertain parameters. Polynomial chaos provide an efficient al...

Zhou, Zhengyuan Mertikopoulos, Panayotis Moustakas, Aris L. Bambos, Nicholas Glynn, Peter W.

no abstract