2 citations · 2 across the 3 of their papers we have counts for
4 papers
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 with drift equal to the gradient of a homogeneous potential of degree , with , and local variance equal to $\varepsil…
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 orthogonal eigenfunctions of a Sturm-Liouville initial value problem with i.i.d. standard Gaussian coeffic…
On a general Kac-Rice formula for the measure of a level set
Diego Armentano, Jean-Marc Azaïs, José Rafael León
Let be a random field , . We first studied the level set , . In particular we gave a weak condi…
Kac-Rice formula: A contemporary overview of the main results and applications
Corinne Berzin, Alain Latour, José León
The book develops the fundamental ideas of the famous Kac-Rice formula for vectorvalued random fields. This formula allows to compute the expectation and moments of the measure, an…