Jos'e R. Le'on

activity

20222025

most citedKac-Rice formula: A contemporary overview of the main results and applications

2 citations · 2 across the 3 of their papers we have counts for

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math.PR2025

Large Deviations and the Peano Phenomenon in Stochastic Differential Equations with Homogeneous Drift

Paola Bermolen, Valeria Goicoechea, José R. León

We consider a diffusion equation in $R^{d}$ with drift equal to the gradient of a homogeneous potential of degree $1 + γ$ , with $0 < γ < 1$ , and local variance equal to $\varepsil…

math.PR2023

On the number of roots of Sturm-Liouville random sums

Federico Dalmao, José R. León

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 coeffic…

math.PR2023

On a general Kac-Rice formula for the measure of a level set

Diego Armentano, Jean-Marc Azaïs, José Rafael León

Let $X (\cdot)$ be a random field $R^{D} \to R^{d}$ , $D \geq d$ . We first studied the level set $X^{- 1} (u)$ , $u \in R^{d}$ . In particular we gave a weak condi…