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Towards zero variance estimators for rare event probabilities
Improving Importance Sampling estimators for rare event probabilities requires sharp approximations of conditional densities. This is achieved for events... -
3D morphological analysis and modeling of random fiber networks: applied on g...
Thèse en co-tutelle : école nationale supérieure des mines de Paris, France et Technische Universität Kaiserlautern, Deutschland -
Web Graphs, PageRank-like Measurements
The purpose of this thesis is to apply PageRank-like measures to Web graphs. The first part introduces the Web graphs. First we define the notion of indexable Web,... -
The effect of the back button in a random walk: application for pagerank
International audience -
Return Probabilities for the Reflected Random Walk on $\mathbb N_0$
Let $(Y_n)$ be a sequence of i.i.d. $\mathbb Z$-valued random variables with law $\mu$. The reflected random walk $(X_n)$ is defined recursively by $X_0=x \in \mathbb... -
A conditional limit theorem for random walks under extreme deviation
This paper explores a conditional Gibbs theorem for a random walkinduced by i.i.d. (X₁,..,X_{n}) conditioned on an extreme deviation of its sum (S₁ⁿ=na_{n}) or... -
Stochastic Deformations of Sample Paths of Random Walks and Exclusion Models
This study in centered on models accounting for stochastic deformations of sample paths of random walks, embedded either in ^$\mathbb{Z}^2$ or in $\mathbb{Z}^3$. These... -
Dynamical Windings of Random Walks and Exclusion Models.Part I: Thermodynamic...
We consider a system consisting of a planar random walk on a square lattice, submitted to stochastic elementary local deformations. Both numerical and theoretical... -
Solution to the SIAM «Hundred-dollar, Hundred-digit Challenge»
In February 2002, L. N. Trefethen proposed a lis of 10 short problems, each with a numerical answer. The challenge was to compute each of the numbers to 10 digits... -
Homogenization of Elliptic Difference Operators
We develop some aspects of general homogenization theory for second order elliptic difference operators and consider several models of homogenization problems for... -
Local limit theorem for symmetric random walks in Gromov-hyperbolic groups
International audience -
socP2P : P2P content discovery enhancement by considering social networks cha...
International audience -
A stochastic model of transport in three-dimensional porous media
International audience -
On Polling Systems where Servers wait for Customers
Projet MEVAL -
An invariance principle for random walk bridges conditioned to stay positive
We prove an invariance principle for the bridge of a random walk conditioned to stay positive, when the random walk is in the domain of attraction of a stable law,... -
New approaches of source-sink metapopulations decoupling the roles of demogra...
Source-sink systems are metapopulations of habitat patches with different, and possibly temporally varying, habitat qualities, which are commonly used in ecology to... -
Diffusivity of a random walk on random walks
We consider a random walk $\left(Z^{(1)}_n, \cdots, Z^{(K+1)}_n \right) \in \mathbb{Z}^{K+1}$ with the constraint that each coordinate of the walk is at distance one... -
Analysis of Small Cell Networks with Randomly Wandering Users
Cellular Networks -
Quick Detection of Nodes with Large Degrees
Our goal is to quickly find top $k$ lists of nodes with the largest degrees in large complex networks. If the adjacency list of the network is known (not often the...
