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5/13/25, 10:30 AM
In physics, the notion of isolated system is a crucial one. However, the definition of this concept in the context of general relativity contains some subtleties. One generally proceeds by asking the boundary of the space-time (obtained through conformal compactification) to share some similarities with the one of the Minkowski space-time, $\textit{i.e.}$ the space-time of an empty and flat...
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5/13/25, 11:00 AM
We have developed a mathematical and asymptotic model to simulate the transport of an intestinal mixture in a deformable cylindrical conduit representing the colon. The radius of the colon varies in both time and space, mimicking peristaltic movements. The mixture consists of mucus, luminal fluid, dietary fibres and bacteria, whose volume fractions change under the influence of variable...
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5/13/25, 11:30 AM
Bien que la distribution ex-gaussienne nous permette de mieux analyser les temps de réaction afin de proposer une analyse approfondie du traitement cognitif humain, dans cette présentation, je souhaite introduire l'utilisation du calcul quantique à la place du calcul classique dans cette distribution. Cela nous permet de généraliser la distribution q-ex-gaussienne et de comparer les résultats...
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5/13/25, 2:00 PM
A large range of mathematical objects are enumerated by the famous $\text{Catalan}$ numbers : triangulation of polygons, non-crossing partitions, number of ways to correctly parenthesize an expression, $\text{Dyck}$ paths, binary trees, monotonic lattice paths, ... I will introduce a less famous object that is also enumerated by the $\text{Catalan}$ numbers : the $\text{Coxeter}$ sortable...
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5/13/25, 2:30 PM
Dans cette présentation, nous étudions les équations couplées d'Allen-Cahn/Cahn-Hilliard avec un terme de prolifération, permettant de modéliser la croissance de tumeurs cancéreuses et d'autres entités biologiques. Nous nous concentrons sur l'établissement de l'existence, de l'unicité et de la régularité des solutions, ainsi que sur l'analyse de leur comportement asymptotique, en accordant une...
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5/13/25, 3:00 PM
Let $\Omega \subset \mathbb{R}^d$ be a bounded smooth domain and $b : \Omega \rightarrow \mathbb{R}^d$ be a smooth vector field. We focus on the associated overdamped Langevin equation :
$$\dot{X_t}=b(X_t) + \sqrt{h} \dot{B_t} $$ in the low regime temperature where $h \rightarrow 0$ and in the case where $b$ admits the decomposition $b = - \nabla f - l$ with :...
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5/13/25, 4:00 PM
Lors de la navigation dans des eaux stratifiées, des ondes peuvent apparaître à l'interface entre deux couches de fluide de densités différentes. Ces ondes, appelées ondes internes, se propagent et peuvent influencer les performances du bateau en générant une résistance à son avancement, connue sous le nom d'eaux mortes. Le phénomène est modélisé sous forme d'équations aux dérivée partielle...
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5/13/25, 4:30 PM
Sedimentary flows involve different types of fluids/sediments, with varying particle concentrations. The dynamics of these extreme events is very difficult to observe: the deposit is the only quantity that can be measured. We aim to model these flows in order to predict their duration, the distance covered, and their deposition geometry.
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In this talk, we derive a simplified model from the... -
5/13/25, 5:00 PM
In this presentation, we will qualitative explore the critical role of human decisions in biodiversity decline, focusing on the problem of fishing in a bounded domain using Mean Field Game (MFG) models in Spatial Ecology. We will combine reaction diffusion equations and MFG theory to model and analyze two fishing systems. We will focus on existence, uniqueness and long-time behavior.
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5/14/25, 9:30 AM
Dans ce court exposé, je commencerai par introduire la notion de statistique en grande dimension avec un rappel sur les tests statistiques. On observera ensuite les réalisations d’un processus auto-régressif multivarié (VAR) de dimension $p$ défini par l’équation $X_{t+1}= \Theta X_{t} +Z_{t}$ où $\Theta$ est une matrice réelle de taille $p$ et la suite $(Z_t)_t$ est le bruit blanc gaussien....
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5/14/25, 10:00 AM
The same way one can randomize an ODE by adding a finite-dimensional noise term, one can randomize a PDE by adding an infinite-dimensional noise term. Stochastic PDEs are, however, most of the time not well-posed due to the presence of ill-defined non-linear terms in their expressions. To have a fruitful notion of solution for singular stochastic PDEs, one needs to add diverging counter-terms...
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5/14/25, 11:00 AM
Cells communicate with each other by sending extra-cellular ligands such as hormones. The ligands of interest are reproductive hormones which, once recognized by their receptors at the plasma membrane, trigger a signaling cascade within the cell. These receptors are internalized in different compartments called endosomes, which produce a cellular response with a different physiological role....
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13. André Lapuyade, LMA: Généralisation d'un théorème de Kawakita sur les contractions divisorielles5/14/25, 11:30 AM
On partira d'un théorème de Kawakita qui classifie les contractions divisorielles en dimension 3, puis on expliquera comment on essaie de faire grandir la dimension en se plaçant de la cadre particulier des variété horosphérique.
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5/14/25, 2:00 PM
The heat equation is a classical linear partial differential equation. I will illustrate its diffusive and regularizing effects through numerical simulations.
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To move toward the framework of my subject, I will then introduce an interface within the domain, which splits the medium into two subdomains. At this interface, appropriate transmission conditions must be imposed to describe heat... -
5/14/25, 2:30 PM
Our goal is to study the Landau equation through the Langevin approach. We will show that this method recovers the same large deviation Hamiltonian as the one derived by Landau and Boltzmann. Then, we will attempt to connect it with Rostoker's principle by studying a three-body system. Our initial objective is to demonstrate the equivalence of both methods in the limit of an infinitesimal...
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5/14/25, 3:00 PM
La concentration de la mesure est au cœur de la recherche actuelle, en raison de la richesse des informations qu’elle fournit en géométrie des espaces de Banach et en analyse fonctionnelle. Après un bref rappel de quelques inégalités classiques, je présenterai mes premiers résultats portant sur des sommes d'intégrales stochastiques à valeurs matricielles. Enfin, je présenterai mon projet de...
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