2 citations · 3 across the 7 of their papers we have counts for
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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…
Studying the winding number for stationary Gaussian processes using real variables
Jean-Marc Azaïs, Federico Dalmao, José R. León
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 f…