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7 papers · 2 filters
A note on Talagrand's transportation inequality and logarithmic Sobolev inequality
Patrick Cattiaux, Arnaud Guillin, Liming Wu
We give by simple arguments sufficient conditions, so called Lyapunov conditions, for Talagrand's transportation information inequality and for the logarithmic Sobolev inequality.…
Unifying Practical Uncertainty Representations: II. Clouds
Sebastien Destercke, Didier Dubois, Eric Chojnacki
There exist many simple tools for jointly capturing variability and incomplete information by means of uncertainty representations. Among them are random sets, possibility distribu…
Unifying Practical Uncertainty Representations: I. Generalized P-Boxes
Sebastien Destercke, Didier Dubois, Eric Chojnacki
There exist several simple representations of uncertainty that are easier to handle than more general ones. Among them are random sets, possibility distributions, probability inter…
An observation about submatrices
Sourav Chatterjee, Michel Ledoux
Let M be an arbitrary Hermitian matrix of order n, and k be a positive integer less than or equal to n. We show that if k is large, the distribution of eigenvalues on the real line…
Convergence of dependent walks in a random scenery to fBm-local time fractional stable motions
Serge Cohen, Clément Dombry
It is classical to approximate the distribution of fractional Brownian motion by a renormalized sum of dependent Gaussian random variables. In this paper we consider such a…
Recurrence and transience of a multi-excited random walk on a regular tree
Anne-Laure Basdevant, Arvind Singh
We study a model of multi-excited random walk on a regular tree which generalizes the models of the once excited random walk and the digging random walk introduced by Volkov (2003)…