Laboratoire de Mathématiques Blaise Pascal

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19932026

most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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9 papers · 2 filters

math.PR2024

Stable and tempered stable distributions and processes: an overview toward trajectory simulation

Taher Jalal

Stable distributions are a celebrated class of probability laws used in various fields. The $α$ -stable process, and its exponentially tempered counterpart, the Classical Tempered S…

math.PR2024★ 1 cited

Large deviations of the empirical measures of a strong-Feller Markov process inside a subset and quasi-ergodic distribution

Arnaud Guillin, Boris Nectoux, Liming Wu

In this work, we establish, for a strong Feller process, the large deviation principle for the occupation measure conditioned not to exit a given subregion. The rate function vanis…

math.PR2024

Sharp propagation of chaos for McKean-Vlasov equation with non constant diffusion coefficient

Jules Grass, Arnaud Guillin, Christophe Poquet

We present a method to obtain sharp local propagation of chaos results for a system of N particles with a diffusion coefficient that it not constant and may depend of the empirical…

math.PR2024

The support function of the high-dimensional Poisson polytope

Pierre Calka, Benjamin Dadoun

Let $K_{λ}^{d}$ be the convex hull of the intersection of the homogeneous Poisson point process of intensity $λ$ in $R^{d}$ , $d \geq 2$ , with the Euclidean unit ball $\mathbb{B}^…

math.PR2024

Persistence exponents via perturbation theory: MA(1)-processes

Frank Aurzada, Dieter Bothe, Pierre-Étienne Druet +2

For the moving average process $X_{n} = ρ ξ_{n - 1} + ξ_{n}$ , $n \in N$ , where $ρ \in R$ and $(ξ_{i})_{i \geq - 1}$ is an i.i.d. sequence of normally distributed random variables, we…

math.PR2024

Generalized Langevin And Nos{é}-hoover Processes Absorbed At The Boundary Of A Metastable Domain

Arnaud Guillin, D I Lu, Boris Nectoux +1

In this paper, we prove in a very weak regularity setting existence and uniqueness of quasi-stationary distributions as well as exponential conver- gence towards the quasi-stationa…