Displaying similar documents to “A vectorial expression for Liapounov's central limit theorem.”

Nonlinear error propagation law

Lubomír Kubáček (1996)

Applications of Mathematics

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The error propagation law is investigated in the case of a nonlinear function of measured data with non-negligible uncertainty.

Shape transition under excess self-intersections for transient random walk

Amine Asselah (2010)

Annales de l'I.H.P. Probabilités et statistiques

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We reveal a shape transition for a transient simple random walk forced to realize an excess -norm of the local times, as the parameter crosses the value ()=/(−2). Also, as an application of our approach, we establish a central limit theorem for the -norm of the local times in dimension 4 or more.