Zobrazeno 1 - 10
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pro vyhledávání: '"Léon, Jose R."'
Autor:
Dalmao, Federico, León, José R.
We consider the number of roots of linear combinations of a system of $n$ orthogonal eigenfunctions of a Sturm-Liouville initial value problem with i.i.d. standard Gaussian coefficients. We prove that its distribution inherits the asymptotic behavior
Externí odkaz:
http://arxiv.org/abs/2305.13007
In this work, we propose a method for solving Kolmogorov hypoelliptic equations based on Fourier transform and Feynman-Kac formula. We first explain how the Feynman-Kac formula can be used to compute the fundamental solution to parabolic equations wi
Externí odkaz:
http://arxiv.org/abs/2109.06529
We consider the winding number of planar stationary Gaussian processes defined on the line. Under mild conditions, we obtain the asymptotic variance and the Central Limit Theorem for the winding number as the time horizon tends to infinity. In the as
Externí odkaz:
http://arxiv.org/abs/2004.10333
Autor:
León, Juan F. Yee-de, Soto-García, Brenda, Aráiz-Hernández, Diana, Delgado-Balderas, Jesús Rolando, Esparza, Miguel A., Aguilar-Avelar, Carlos, Wong-Campos, J. D., Chacón, Franco, López-Hernández, José Y., González-Treviño, A. Mauricio, León, José R. Yee-de, Zamora-Mendoza, Jorge L., Alvarez, Mario M., Santiago, Grissel Trujillo-de, Gómez-Guerra, Lauro S., Sánchez-Domínguez, Celia N., Velarde-Calvillo, Liza P., Abarca-Blanco, Alejandro
The detection and analysis of circulating tumor cells (CTCs) may enable a broad range of cancer-related applications, including the identification of acquired drug resistance during treatments. However, the non-scalable fabrication, prolonged sample
Externí odkaz:
http://arxiv.org/abs/1912.05502
General conditions on smooth real valued random fields are given that ensure the finiteness of the moments of the measure of their level sets. As a by product a new generalized Kac-Rice formula (KRF) for the expectation of the measure of these level
Externí odkaz:
http://arxiv.org/abs/1909.10243
Autor:
Azais, J-M, Leon, Jose R.
For a smooth vectorial stationary Gaussian random field $X : \Omega \times \mathbb{R}^d \to \mathbb{R}^d$, we give necessary and sufficient conditions to have a finite second moment for the number of roots of $X(t) - u$. The results are obtained by u
Externí odkaz:
http://arxiv.org/abs/1905.12342
We revisit Wschebor's theorems on small increments for processes with scaling and stationary properties and deduce large deviation principles.
Externí odkaz:
http://arxiv.org/abs/1904.01255
Akademický článek
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Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems
We state the Central Limit Theorem, as the degree goes to infinity, for the normalized volume of the zero set of a rectangular Kostlan-Shub-Smale random polynomial system. This paper is a continuation of {\it Central Limit Theorem for the number of r
Externí odkaz:
http://arxiv.org/abs/1808.02967
Central Limit Theorem for the volume of the zero set of Kostlan-Shub-Smale random polynomial systems
Publikováno v:
In Journal of Complexity October 2022 72
