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DTSTART;VALUE=DATE:20190326T171500
DTEND;VALUE=DATE:20190326T171500
UID:4806@agenda.unifr.ch
DESCRIPTION:One of the most studied probabilistic objects is the 1D Brownian\nmotion. It can be seen as a natural probability measure on the space\nof continuous functions, indexed by time. There are several natural\ngeneralizations of Brownian motion to higher dimensions. For example,\none could allow the range to be d-dimensional and obtain a certain\nrandom trajectory in higher dimensions - the d-dimensional Brownian\nmotion. Alternatively, one could ask what happens if you take the\nindexing set to be d-dimensional. The arising random height function\nis called the continuum Gaussian free field (GFF). I would like to\ndiscuss its geometry in 2 dimensions. It comes out that the 2D GFF is\nnot defined pointwise - it is just a random generalized function. Yet,\nwe can give sense to some geometric structures like level sets, or\nexcursions off the level sets. This reveals interesting connections to\nthe 2D Brownian motion, but also to other 2D structures like\nSchramm-Loewner Evolution.\n
SUMMARY:Prof. Juhan Aru (EPFL): The geometry of the 2D Gaussian free field
CATEGORIES:Colloque / Congrès / Forum
LOCATION:PER 08\, auditoire 2.52\, Chemin du Musée 3\, 1700 Fribourg
URL;VALUE=URI:https://agenda.unifr.ch/e/fr/4806
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