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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... -
Random Walks on Co-Compact Fuchsian Groups
v2: clarified some points, improved exposition, changed title -
Quantitative version of the Kipnis-Varadhan theorem and Monte-Carlo approxima...
International audience -
Stretched random walks and the behaviour of their summands.
This paper explores the joint behaviour of the summands of a random walk when their mean value goes to infinity as its length increases. It is proved that all the... -
Testing for random walk behavior in euro exchange rates
This study examines the random walk behavior of major Euro exchange rates. The hypothesis is tested with new variance ratio tests based on power transformation and... -
Recurrence rates and hitting-time distributions for random walks on the line
Published in at http://dx.doi.org/10.1214/11-AOP698 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) -
Uniform Random Sampling of Traces in Very Large Models
This paper presents some first results on how to perform uniform random walks (where every trace has the same probability to occur) in very large models. The models... -
Limit theorems for U-statistics indexed by a one dimensional random walk
International audience -
Scale invariant stochastic processes and multiresolution analysis for the mod...
Habilitation à Diriger des Recherches : Scale invariant stochastic processes and multiresolution analysis for the modeling of physical systems. -
Contributions to the study of random walks in random environments
Random walks in random environment have raised a great interest in the last few years, both among applied scientists, notably as a way to refine models by taking... -
Random walks for subject hierarchy simplification
International audience -
Light tails: All summands are large when the empirical mean is large
It is well known that for a fixed number of independent identically distributed summands with light tail, large values of the sample mean are obtained only when all... -
A random walk through human behavior
International audience -
Improved P2P content discovery by exploiting user social patterns
International audience -
From logarithmic to subdiffusive polynomial fluctuations for internal DLA and...
40 pages, 1 figure. Published in at http://dx.doi.org/10.1214/12-AOP762 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics... -
A new approach for the identification of turns and steps in tortuous movement...
International audience -
Individual-based models for the functional impact of signalling proteins spat...
Signalling pathways allow cells to perceive and exchange information under the form of chemical signals. Such a signal generates a response of the cell through the...
