Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Hardy, Adrien"'
Autor:
Bardenet, Rémi, Feller, Alexandre, Bouttier, Jérémie, Degiovanni, Pascal, Hardy, Adrien, Rançon, Adam, Roussel, Benjamin, Schehr, Grégory, Westbrook, Christoph I.
Some fifty years ago, in her seminal PhD thesis, Odile Macchi introduced permanental and determinantal point processes. Her initial motivation was to provide models for the set of detection times in fundamental bosonic or fermionic optical experiment
Externí odkaz:
http://arxiv.org/abs/2210.05522
Autor:
Hardy, Adrien, Lambert, Gaultier
We consider the macroscopic large N limit of the Circular beta-Ensemble at high temperature, and its weighted version as well, in the regime where the inverse temperature scales as beta/N for some parameter beta>0. More precisely, in the large N limi
Externí odkaz:
http://arxiv.org/abs/1909.01142
Shannon's mutual information of a random multiple antenna and multipath channel is studied in the general case where the channel impulse response is an ergodic and stationary process which is assumed to be available at the receiver. From this viewpoi
Externí odkaz:
http://arxiv.org/abs/1811.04734
We investigate Sine$_\beta$, the universal point process arising as the thermodynamic limit of the microscopic scale behavior in the bulk of one-dimensional log-gases, or $\beta$-ensembles, at inverse temperature $\beta>0$. We adopt a statistical phy
Externí odkaz:
http://arxiv.org/abs/1809.03989
Autor:
Bardenet, Rémi, Hardy, Adrien
A family of Gaussian analytic functions (GAFs) has recently been linked to the Gabor transform of white Gaussian noise [Bardenet et al., 2017]. This answered pioneering work by Flandrin [2015], who observed that the zeros of the Gabor transform of wh
Externí odkaz:
http://arxiv.org/abs/1807.11554
Autor:
Beltrán, Carlos, Hardy, Adrien
Publikováno v:
Arch Rational Mech Anal (2019) 231: 2007
We consider the Coulomb gas of $N$ particles on the sphere and show that the logarithmic energy of the configurations approaches the minimal energy up to an error of order $\log N$, with exponentially high probability and on average, provided the tem
Externí odkaz:
http://arxiv.org/abs/1803.11018
Autor:
Hardy, Adrien
Publikováno v:
Constr. Approx. (2018) 48: 137
Polynomial ensembles are determinantal point processes associated with (non necessarily orthogonal) projections onto polynomial subspaces. The aim of this survey article is to put forward the use of recurrence coefficients to obtain the global asympt
Externí odkaz:
http://arxiv.org/abs/1709.01287
Autor:
Bardenet, Rémi, Hardy, Adrien
Publikováno v:
The Annals of Applied Probability, 2020 Feb 01. 30(1), 368-417.
Externí odkaz:
https://www.jstor.org/stable/26907052
Publikováno v:
Journal of Functional Analysis 275 (2018) 1447-1483
We study the non-asymptotic behavior of Coulomb gases in dimension two and more. Such gases are modeled by an exchangeable Boltzmann-Gibbs measure with a singular two-body interaction. We obtain concentration of measure inequalities for the empirical
Externí odkaz:
http://arxiv.org/abs/1610.00980
Autor:
Bardenet, Rémi, Hardy, Adrien
We show that repulsive random variables can yield Monte Carlo methods with faster convergence rates than the typical $N^{-1/2}$, where $N$ is the number of integrand evaluations. More precisely, we propose stochastic numerical quadratures involving d
Externí odkaz:
http://arxiv.org/abs/1605.00361