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7 papers · 2 filters
Weakly dependent chains with infinite memory
Paul Doukhan, Olivier Wintenberger
We prove the existence of a weakly dependent strictly stationary solution of the equation called {\em chain with infinite memory}. Here th…
Stein's method on Wiener chaos
Ivan Nourdin, Giovanni Peccati
We combine Malliavin calculus with Stein's method, in order to derive explicit bounds in the Gaussian and Gamma approximations of random variables in a fixed Wiener chaos of a gene…
Weighted power variations of iterated Brownian motion
Ivan Nourdin, Giovanni Peccati
We characterize the asymptotic behaviour of the weighted power variation processes associated with iterated Brownian motion. We prove weak convergence results in the sense of finit…
The barnes G function and its relations with sums and products of generalized Gamma convolution variables
Ashkan Nikeghbali, Marc Yor
We give a probabilistic interpretation for the Barnes G-function which appears in random matrix theory and in analytic number theory in the important moments conjecture due to Keat…
Asymptotic regimes for the occupancy scheme of multiplicative cascades
Jean Bertoin
In the classical occupancy scheme, one considers a fixed discrete probability measure and throws balls independently at random in boxes labeled by $…
The characteristic polynomial of a random unitary matrix: a probabilistic approach
Paul Bourgade, Chris Hughes, Ashkan Nikeghbali +1
In this paper, we propose a probabilistic approach to the study of the characteristic polynomial of a random unitary matrix. We recover the Mellin Fourier transform of such a rando…