12 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Institut de Recherche Mathématique AvancéeFR147 papers
- Université de StrasbourgFR9 papers
- Institut national de recherche en sciences et technologies du numériqueFR8 papers
- Laboratoire Jacques-Louis LionsFR8 papers
- Centre National de la Recherche ScientifiqueFR7 papers
- Laboratoire Analyse, Géométrie et ApplicationsFR6 papers
- Laboratoire de Mathématiques Jean LerayFR5 papers
- Université de LorraineFR5 papers
- Université Paris CitéFR5 papers
- Institut Élie Cartan de LorraineFR4 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Laboratoire de Mathématiques Raphaël SalemFR4 papers
17 papers · 1 filter
A weak invariance principle for triangular arrays of independent random variables in some Besov spaces
Davide Giraudo, Sadillo Sharipov
We establish a Donsker-Prokhorov invariance principle in some Besov spaces. Specifically, we show that polygonal line processes associated with partial sum processes of a triangula…
Functional central limit theorems for -statistics of beta-mixing data
Davide Giraudo
We investigate the convergence of partial sum processes based on a strictly stationary -mixing sequence of random variables. The convergence in the space of continuous function…
Probabilistic Weyl Law for Twisted Toeplitz Matrices with Rough Symbols
Lucas Noël
In this article, we study the convergence of the empirical spectral measure of twisted Toeplitz matrices subject to small random perturbations. We show that the empirical spectral…
Sharpness for monotone absorbing Interacting Particle Systems
Jean Bérard, Barbara Dembin, Laure Marêché
We prove a sharpness result for the dynamics of finite-range Interacting Particle Systems (IPS) on , which generalizes to a whole class of IPS the sharpness result…
Linear and uniform in time bound for the binary branching model with Moran type interactions
A M G Cox, E Horton, D Villemonais
In this note, we recall the definition of the binary branching model with Moran type interactions (BBMMI) introduced in [8]. In this interacting particle system, particles evolve,…
An exponential inequality for Hilbert-valued U-statistics of i.i.d. data
Davide Giraudo
In this paper, we establish an exponential inequality for U-statistics of i.i.d. data, varying kernel and taking values in a separable Hilbert space. The bound are expressed as a s…
Deviation and moment inequalities for Banach-valued -statistics
Davide Giraudo
We show a deviation inequality for U-statistics of independent data taking values in a separable Banach space which satisfies some smoothness assumptions. We then provide applicati…
Hydrodynamic limit of N-branching Markov processes
Jean Bérard, Brieuc Frénais
We consider the behaviour of branching-selection particle systems in the large population limit. The dynamics of these systems is the combination of the following three components:…
Functional central limit theorem and Marcinkiewicz strong law of large numbers for Hilbert-valued U-statistics of absolutely regular data
Davide Giraudo
In this paper, we investigate the functional central limit theorem and the Marcinkiewicz strong law of large numbers for U-statistics having absolutely regular data and taking valu…
The comonotone flow of a stochastically monotone Feller process on the real line
Jean Bérard, Brieuc Frénais
We show that any stochastically monotone Feller semigroup on R can be extended by a consistent family of order-preserving Feller semigroups on the successive powers of R. We exhibi…
Some notes on ergodic theorem for -statistics of order for stationary and not necessarily ergodic sequences
Davide Giraudo
In this note, we give sufficient conditions for the almost sure and the convergence in of a -statistic of order built on a strictly stationary but not necessa…
A probabilistic cellular automaton that admits no successful basic i.i.d. coupling
Jean Bérard
In this paper, we revisit a classic example of probabilistic cellular automaton (PCA) on {0, 1} Z , namely, addition modulo 2 of the states of the left-and right-neighbouring cells…
Rating transitions forecasting: a filtering approach
Areski Cousin, Jérôme Lelong, Tom Picard
Analyzing the effect of business cycle on rating transitions has been a subject of great interest these last fifteen years, particularly due to the increasing pressure coming from…
A Coupling Proof of Convex Ordering for Compound Distributions
Jean Bérard, Nicolas Juillet
In this paper, we give an alternative proof of the fact that, when compounding a nonnegative probability distribution, convex ordering between the distributions of the number of su…
The Markov-quantile process attached to a family of Marginals
Charles Boubel, Nicolas Juillet
Let = (t)tR be any 1-parameter family of probability measures on R. Its quantile process (Gt)tR : ]0, 1[ RR, given by Gt() = inf{x R : t(…
Some relations between the spectra of simple and non-backtracking random walks
Nalini Anantharaman
We establish some relations between the spectra of simple and non-backtracking random walks on non-regular graphs, generalizing some well-known facts for regular graphs. Our two ma…
A quasimartingale characterization of p stable type Banach spaces
Florian Hechner, Bernard Heinkel
We characterize Banach spaces B of stable type p (1 < p < 2) by the property that for every sequence (X_i) of B-valued random variables, independent, centered and fulfilling some i…