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Article Dans Une Revue Stochastic Processes and their Applications Année : 2010

Poisson point processes, excursions and stable processes in two-dimensional structures

Résumé

Itô's contributions lie at the root of stochastic calculus and of the theory of excursions. These ideas are also very useful in the study of conformally invariant two-dimensional structures, via conformal loop ensembles, excursions of Schramm–Loewner evolutions and Poisson point processes of Brownian loops.

Dates et versions

hal-00520724 , version 1 (24-09-2010)

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Citer

Wendelin Werner. Poisson point processes, excursions and stable processes in two-dimensional structures. Stochastic Processes and their Applications, 2010, 120 (5), pp.750-766. ⟨10.1016/j.spa.2010.01.014⟩. ⟨hal-00520724⟩
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