Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Maida, Mylene"'
We construct a thermodynamic limit for the grand canonical Bose gas (in its Feynman-Kac representation) with superstable interaction. Although we do not prove the presence of infinite cycles, our infinite volume model is naturally a distribution over
Externí odkaz:
http://arxiv.org/abs/2410.10225
Autor:
Lemoine, Thibaut, Maïda, Mylène
We study a Gaussian measure with parameter $q\in(0,1)$ on the dual of the unitary group of size $N$: we prove that a random highest weight under this measure is the coupling of two independent $q$-uniform random partitions $\alpha,\beta$ and a random
Externí odkaz:
http://arxiv.org/abs/2405.08393
Kernel herding belongs to a family of deterministic quadratures that seek to minimize the worst-case integration error over a reproducing kernel Hilbert space (RKHS). In spite of strong experimental support, it has revealed difficult to prove that th
Externí odkaz:
http://arxiv.org/abs/2402.11736
Ecosystems with a large number of species are often modelled as Lotka-Volterra dynamical systems built around a large random interaction matrix. Under some known conditions, a global equilibrium exists and is unique. In this article, we rigorously st
Externí odkaz:
http://arxiv.org/abs/2302.07820
Autor:
Akjouj, Imane, Barbier, Matthieu, Clenet, Maxime, Hachem, Walid, Maïda, Mylène, Massol, François, Najim, Jamal, Tran, Viet Chi
Ecosystems represent archetypal complex dynamical systems, often modelled by coupled differential equations of the form $$ \frac{d x_i}{d t} = x_i \varphi_i(x_1,\cdots, x_N)\ , $$ where $N$ represents the number of species and $x_i$, the abundance of
Externí odkaz:
http://arxiv.org/abs/2212.06136
Autor:
Kammoun, Mohamed Slim, Maïda, Mylène
We study the cycle structure of words in several random permutations. We assume that the permutations are independent and that their distribution is conjugation invariant, with a good control on their short cycles. If, after successive cyclic simplif
Externí odkaz:
http://arxiv.org/abs/2204.04759
We are interested in reconstructing the initial condition of a non-linear partial differential equation (PDE), namely the Fokker-Planck equation, from the observation of a Dyson Brownian motion at a given time $t>0$. The Fokker-Planck equation descri
Externí odkaz:
http://arxiv.org/abs/2006.11899
Akademický článek
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Autor:
Kammoun, Mohamed Slim, Maïda, Mylène
We use moment method to understand the cycle structure of the composition of independent invariant permutations. We prove that under a good control on fixed points and cycles of length 2, the limiting joint distribution of the number of small cycles
Externí odkaz:
http://arxiv.org/abs/1910.04031
Autor:
Guionnet, Alice, Maïda, Mylène
In this paper, we consider the addition of two matrices in generic position, namely A + U BU * , where U is drawn under the Haar measure on the unitary or the orthogonal group. We show that, under mild conditions on the empirical spectral measures of
Externí odkaz:
http://arxiv.org/abs/1810.02538