Seminario di Probabilità e Finanza Matematica: Thick points for a Gaussian Free Field in 4 dimensions

Lunedì 21 Ottobre 2013, ore 15:00 - Aula 2BC30 - Alessandra Cipriani


Seminario di Probabilità e Finanza Matematica

Lunedì 21 Ottobre 2013 alle ore 15:00 in Aula 2BC30 la Dott.ssa Alessandra Cipriani dell'Università di Zurigo terrà un seminario intitolato "Thick points for a Gaussian Free Field in 4 dimensions".

This joint work with Rajat Subhra Hazra is concerned with the study of the fractal dimension of thick points for a 4-dimensional Gaussian Free Field. We adopt the de?nition of Gaussian Free Field on R^4 introduced by Chen and Jakobson (2012) viewed as an abstract Wiener space with underlying Hilbert space H^2(R^4). We can prove that for 0 ? a ? 4 the Hausdor? dimension of the set of a-high points is 4 ? a, and we show that this set is the support of the 4-dimensional Liouville quantum gravity measure.

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