Ho il piacere di invitarvi al seguente seminario, che si terrà lunedì 21 ottobre, alle ore 15:00,
nell'aula 2BC30 della Torre Archimede presso il Dipartimento di Matematica dell'Universita` degli Studi di Padova.
SPEAKER:
Dott.ssa Alessandra Cipriani
AFFILIATION:
Institute of Mathematics, University of Zurich
TITLE: Thick points for a Gaussian Free Field in 4 dimensions
ABSTRACT: 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 definitionof 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 theHausdorff 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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Alessandra Bianchi
Dip. di Matematica Pura e Applicata
Università di Padova
Via Trieste, 63 - 35121 Padova, Italy
phone: +39 049 827 14 06
fax: +39 049 827 14 28
e-mail: bianchi@math.unipd.it
http://www.math.unipd.it/~bianchi/