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pro vyhledávání: '"Memin, Ronan"'
Autor:
Mazzuca, Guido, Memin, Ronan
In this paper, we prove a polynomial Central Limit Theorem for several integrable models, and for the $\beta$-ensembles at high-temperature with polynomial potential. Furthermore, we connect the mean values, the variances and the correlations of the
Externí odkaz:
http://arxiv.org/abs/2304.10323
Autor:
Guera, Charlie Dworaczek, Memin, Ronan
Publikováno v:
Electronic Journal of Probability 2024
We establish a central limit theorem for the fluctuations of the linear statistics in the $\beta$-ensemble of dimension $N$ at a temperature proportional to $N$ and with confining smooth potential. In this regime, the particles do not accumulate in a
Externí odkaz:
http://arxiv.org/abs/2301.05516
Autor:
Mazzuca, Guido, Memin, Ronan
We consider the Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, and the Schur flow. We derive large deviations principles for the distribution of the empirical measures of the equilibrium measures for these ensembles. As a consequence, we d
Externí odkaz:
http://arxiv.org/abs/2201.03429
Autor:
Guionnet, Alice, Memin, Ronan
We derive large deviations principles for the distribution of the empirical measure of the equilibrium measure for the Generalized Gibbs ensembles of the classical Toda chain introduced in [11]. We deduce its almost sure convergence and characterize
Externí odkaz:
http://arxiv.org/abs/2103.04858
Akademický článek
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Autor:
Guera, Charlie Dworaczek, Memin, Ronan
We establish a central limit theorem for the fluctuations of the empirical measure in the $\beta$-ensemble of dimension $N$ at a temperature proportional to $N$ and with confining smooth potential. The space of test functions for which the CLT holds
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_______::4ae4fd573e0090f41d8066b71288776c
http://arxiv.org/abs/2301.05516
http://arxiv.org/abs/2301.05516
Autor:
Dworaczek Guera, Charlie, Memin, Ronan
We establish a central limit theorem for the fluctuations of the empirical measure in the β-ensemble of dimension N at a temperature proportional to N and with confining smooth potential. The space of test functions for which the CLT holds includes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::b38a85d225dc9fad572e47d199dc123a
https://hal.science/hal-03937814
https://hal.science/hal-03937814