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7 papers · 2 filters
Upper bounds on Rubinstein distances on configuration spaces and applications
Laurent Decreusefond, Aldéric Joulin, Nicolas Savy
In this paper, we provide upper bounds on several Rubinstein-type distances on the configuration space equipped with the Poisson measure. Our inequalities involve the two well-know…
Asymptotics of one-dimensional forest fire processes
Xavier Bressaud, Nicolas Fournier
We consider the so-called one-dimensional forest fire process. At each site of , a tree appears at rate . At each site of , a fire starts at rate ,…
A connection between extreme value theory and long time approximation of SDE's
Fabien Panloup
We consider a sequence of random values living in the domain of attraction of an extreme value distribution. For such sequence, there exists and $(…
Spectrum of large random reversible Markov chains: two examples
Charles Bordenave, Pietro Caputo, Djalil Chafai
We take on a Random Matrix theory viewpoint to study the spectrum of certain reversible Markov chains in random environment. As the number of states tends to infinity, we consider…
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…
Circular Law Theorem for Random Markov Matrices
Charles Bordenave, Pietro Caputo, Djalil Chafai
Consider an nxn random matrix X with i.i.d. nonnegative entries with bounded density, mean m, and finite positive variance sigma^2. Let M be the nxn random Markov matrix with i.i.d…