1.4k 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 ScientifiqueFR399 papers
- Laboratoire de Physique Théorique et ModélisationFR273 papers
- Analyse, Géométrie et ModélisationFR97 papers
- Université Pierre-et-Marie-CurieFR44 papers
- Université Paris-SudFR40 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR30 papers
- Laboratoire d’Etudes du Rayonnement et de la Matière en Astrophysique et AtmosphèresFR29 papers
- Observatoire de ParisFR29 papers
- Equipes Traitement de l'Information et SystèmesFR22 papers
- Université Paris-SaclayFR21 papers
- CEA Paris-SaclayFR19 papers
- Université Toulouse III - Paul SabatierFR19 papers
25 papers · 1 filter
Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions
Trishen S. Gunaratnam, Tadahiro Oh, Nikolay Tzvetkov +1
We prove quasi-invariance of Gaussian measures supported on Sobolev spaces under the dynamics of the three-dimensional defocusing cubic nonlinear wave equation. As in the previous…
Absolute regularity of semi-contractive GARCH-type processes
Paul Doukhan, Michael H. Neumann
We prove existence and uniqueness of a stationary distribution and absolute regularity for nonlinear GARCH and INGARCH models of order (p,q). In contrast to previous work we impose…
Stimulus sensitivity of a spiking neural network model
Julien Chevallier
Some recent papers relate the criticality of complex systems to their maximal capacity of information processing. In the present paper, we consider high dimensional point processes…
Information transmission and criticality in the contact process
Marzio Cassandro, Antonio Galves, Eva Löcherbach
In the present paper, we study the relation between criticality and information transmission in the one-dimensional contact process with infection parameter To do this we defi…
Absolute continuity of the invariant measure in Piecewise Deterministic Markov Processes having degenerate jumps
Eva Löcherbach
We consider piecewise deterministic Markov processes with degenerate transition kernels of the "house-of-cards"-type. We use a splitting scheme based on jump times to prove the abs…
Phantom distribution functions for some stationary sequences
Paul Doukhan, Adam Jakubowski, Gabriel Lang
The notion of a phantom distribution function (phdf) was introduced by O'Brien (1987). We show that the existence of a phdf is a quite common phenomenon for stationary weakly depen…
Empirical central limit theorem for cluster functionals without mixing
Paul Doukhan, José Gregorio Gómez
We prove central limit theorems (CLT) for empirical processes of extreme values cluster functionals as in Drees and Rootzén (2010). We use coupling properties enlightened for Dedec…
Phase transition for a contact process with random slowdowns
Kevin Kuoch
Motivated by a model of an area-wide integrated pest management, we develop an interacting particle system evolving in a random environment. It is a generalised contact process in…
Wetting transitions for a random line in long-range potential
P. Collet, F. Dunlop, T. Huillet
We consider a restricted Solid-on-Solid interface in , subject to a potential behaving at infinity like . Whenever there is a we…
Dependent Lindeberg CLT - Finite Dimensional for Empirical Processes of Cluster Functionals
José Gregorio Gómez
Drees and Rootzén [2010] have proven central limit theorems (CLT) for empirical processes of extreme values cluster functionals built from -mixing processes. The problem with th…
Hydrodynamic limit for interacting neurons
Anna De Masi, Antonio Galves, Eva Löcherbach +1
This paper studies the hydrodynamic limit of a stochastic process describing the time evolution of a system with N neurons with mean-field interactions produced both by chemical an…
Effective dynamics for a kinetic Monte-Carlo model with slow and fast time scales
Salma Lahbabi, Frederic Legoll
We consider several multiscale-in-time kinetic Monte Carlo models, in which some variables evolve on a fast time scale, while the others evolve on a slow time scale. In the first t…
Infinite systems of interacting chains with memory of variable length - a stochastic model for biological neural nets
Antonio Galves, Eva Löcherbach
We consider a new class of non Markovian processes with a countable number of interacting components. At each time unit, each component can take two values, indicating if it has a…
Partially observed Markov random fields are variable neighborhood random fields
Marzio Cassandro, Antonio Galves, Eva Loecherbach
The present paper has two goals. First to present a natural example of a new class of random fields which are the variable neighborhood random fields. The example we consider is a…
Asymptotic eigenvalue distributions of block-transposed Wishart matrices
Teodor Banica, Ion Nechita
We study the partial transposition of a Wishart matrix of parameters . Our main resu…
Rates of convergence in the strong invariance principle under projective criteria
Jérôme Dedecker, Paul Doukhan, Florence Merlevède
We give rates of convergence in the strong invariance principle for stationary sequences satisfying some projective criteria. The conditions are expressed in terms of conditional e…
Kalikow-type decomposition for multicolor infinite range particle systems
A. Galves, N. L. Garcia, E. Löcherbach +1
We consider a particle system on with real state space and interactions of infinite range. Assuming that the rate of change is continuous we obtain a Kalikow-type de…
The t-Martin boundary of reflected random walks on a half-space
Irina Ignatiouk-Robert
The t-Martin boundary of a random walk on a half-space with reflected boundary conditions is identified. It is shown in particular that the t-Martin boundary of such a random walk…
Random walk versus random line
Joel De Coninck, Francois Dunlop, Thierry Huillet
We consider random walks X_n in Z+, obeying a detailed balance condition, with a weak drift towards the origin when X_n tends to infinity. We reconsider the equivalence in law betw…
Martin boundary of a killed random walk on a quadrant
Irina Ignatiouk-Robert, Christophe Loree
A complete representation of the Martin boundary of killed random walks on the quadrant is obtained. It is proved that the corresponding full M…
On Bernoulli Decompositions for Random Variables, Concentration Bounds, and Spectral Localization
Michael Aizenman, Francois Germinet, Abel Klein +1
As was noted already by A. N. Kolmogorov, any random variable has a Bernoulli component. This observation provides a tool for the extension of results which are known for Bernoulli…
Martin boundary of a reflected random walk on a half-space
Irina Ignatiouk-Robert
The complete representation of the Martin compactification for reflected random walks on a half-space is obtained. It is shown that the full Martin compactification…
A necklace of Wulff shapes
Joël De Coninck, François Dunlop, Thierry Huillet
In a probabilistic model of a film over a disordered substrate, Monte-Carlo simulations show that the film hangs from peaks of the substrate. The film profile is well approximated…
Hard rods: statistics of parking configurations
Francois Dunlop, Thierry Huillet
We compute the correlation function in the equilibrium version of Rényi's {\sl parking problem}. The correlation length is found to diverge as when $ρ\near…