22 citations · 75 across the 22 of their papers we have counts for
4 papers · 2 filters
A total variation version of Breuer--Major Central Limit Theorem under assumption
Jürgen Angst, Federico Dalmao, Guillaume Poly
In this note, we establish a qualitative total variation version of Breuer--Major Central Limit Theorem for a sequence of the type …
Regularity of laws via Dirichlet forms -- Application to quadratic forms in independent and identically distributed random variables
Ronan Herry, Dominique Malicet, Guillaume Poly
We study the regularity of the law of a quadratic form , evaluated in a sequence of independent and identically distributed random variables, when can…
Superconvergence phenomenon in Wiener chaoses
Ronan Herry, Dominique Malicet, Guillaume Poly
We establish an unexpected phenomenon of strong regularization along normal convergence on Wiener chaoses. For every sequence of chaotic random variables, convergence in law to the…
Almost sure behavior of the critical points of random polynomials
Jürgen Angst, Dominique Malicet, Guillaume Poly
Let be a sequence of independent and identically distributed complex random variables with common distribution and let the ass…