Výsledky vyhledávání - "Bahier, Valentin"

Dissertation/ Thesis

Spectre de matrices de permutation aléatoires

Autor: Bahier, Valentin

Dans cette thèse, nous nous intéressons à des matrices aléatoires en lien avec des permutations. Nous abordons l'étude de leurs spectres de plusieurs manières, et à différentes échelles d'observation. Dans un premier temps, nous prolongeons

Externí odkaz: http://www.theses.fr/2018TOU30069/document

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On smooth mesoscopic linear statistics of the eigenvalues of random permutation matrices

Autor: Bahier, Valentin, Najnudel, Joseph

We study the limiting behavior of smooth linear statistics of the spectrum of random permutation matrices in the mesoscopic regime, when the permutation follows one of the Ewens measures on the symmetric group. If we apply a smooth enough test functi

Externí odkaz: http://arxiv.org/abs/1910.03621

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On a limiting point process related to modified permutation matrices

Autor: Bahier, Valentin

We consider random permutation matrices following a one-parameter family of deformations of the uniform distribution, called Ewens' measures, and modifications of these matrices where the entries equal to one are replaced by i.i.d uniform random vari

Externí odkaz: http://arxiv.org/abs/1803.03546

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Characteristic polynomials of modified permutation matrices at microscopic scale

Autor: Bahier, Valentin

We study the characteristic polynomial of random permutation matrices following some measures which are invariant by conjugation, including Ewens' measures which are one-parameter deformations of the uniform distribution on the permutation group. We

Externí odkaz: http://arxiv.org/abs/1801.10461

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On the number of eigenvalues of modified permutation matrices in mesoscopic intervals

Autor: Bahier, Valentin

We are interested in two random matrix ensembles related to permutations: the ensemble of permutation matrices following Ewens' distribution of a given parameter $\theta >0$, and its modification where entries equal to $1$ in the matrices are replace

Externí odkaz: http://arxiv.org/abs/1611.06699

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Interpretation and approximation tools for big, dense Markov chain transition matrices in ecology and evolution

Autor: Reichel, Katja, Bahier, Valentin, Midoux, Cédric, Masson, Jean-Pierre, Stoeckel, Solenn

Markov chains are a common framework for individual-based state and time discrete models in ecology and evolution. Their use, however, is largely limited to systems with a low number of states, since the transition matrices involved pose considerable

Externí odkaz: http://arxiv.org/abs/1407.2548

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