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Presentations at an Academic or Professional conference (2006), 31th Conference on Stochastic Processes and their Applications

Curve crossings and specular points, d'après Longuet-Higgins.

Kratz Marie , Leon José

We use the Hermite expansion for the number of crossings of a differentiable curve by a stationary process to study the number of specular points of a curve and to understand its dynamical behavior, in particular asymptotically (CLT).

KRATZ, M. and LEON, J. (2006). Curve crossings and specular points, d'après Longuet-Higgins. In: 31th Conference on Stochastic Processes and their Applications. Paris.

Keywords : #crossings, #CLT, #Gaussian-fields, #Hermite-polynomials, #level-curve, #specular-point, #twinkle