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3 papers · 1 filter
math.PR2015★ 1 cited
Poisson statistics for matrix ensembles at large temperature
Florent Benaych-Georges, Sandrine Péché
In this article, we consider -ensembles, i.e. collections of particles with random positions on the real line having joint distribution $$\frac{1}{Z_N(β)}|Δ(λ)|^βe^{- \frac{Nβ}{…
math.PR2014★ 2 cited
Moment bounds for dependent sequences in smooth Banach spaces
Jérôme Dedecker, Florence Merlevède
We prove a Marcinkiewicz-Zygmund type inequality for random variables taking values in a smooth Banach space. Next, we obtain some sharp concentration inequalities for the empirica…
math.PR2012★ 4 cited
Fine Gaussian fluctuations on the Poisson space II: rescaled kernels, marked processes and geometric U-statistics
Raphael Lachieze-Rey, Giovanni Peccati
Continuing the analysis initiated in Lachiéze-Rey and Peccati (2011), we use contraction operators to study the normal approximation of random variables having the form of a U-stat…