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5 papers · 2 filters
A general framework for waves in random media with long-range correlations
Renaud Marty, Knut Sølna
We consider waves propagating in a randomly layered medium with long-range correlations. An example of such a medium is studied in \citeMS and leads, in particular, to an asymptoti…
On the Gaussian approximation of vector-valued multiple integrals
Salim Noreddine, Ivan Nourdin
By combining the findings of two recent, seminal papers by Nualart, Peccati and Tudor, we get that the convergence in law of any sequence of vector-valued multiple integrals …
A renormalized rough path over fractional Brownian motion
Jeremie Unterberger
We construct in this article a rough path over fractional Brownian motion with arbitrary Hurst index by (i) using the Fourier normal ordering algorithm introduced in \cite{Unt-Hold…
Ergodicity of self-attracting motion
Victor Kleptsyn, Aline Kurtzmann
The aim of this paper is to study the asymptotic behaviour of a class of self- attracting motions on R^d . Using stochastic approximation methods, these processes have already been…
Asymptotic behavior of some factorizations of random words
Elahe Zohoorian Azad, Philippe Chassaing
In this paper we consider the normalized lengths of the factors of some factorizations of random words. First, for the \emph{Lyndon factorization} of finite random words with i…