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UID:5257@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20240917T143000
DTEND;TZID=Europe/Paris:20240917T153000
DTSTAMP:20240910T085505Z
URL:https://www.i2m.univ-amu.fr/evenements/curvature-measures-for-random-e
 xcursion-sets-theoretical-and-computational-developments/
SUMMARY:Elena di Bernardino (laboratoire Jean Dieudonné\, Univ. de Nice): 
 Curvature measures for random excursion sets: theoretical and computationa
 l developments
DESCRIPTION:Elena di Bernardino: The excursion set of a smooth random field
  carries relevant information in its various geometric measures. Geometric
  properties of these exceedance regions above a given level provide meanin
 gful theoretical and statistical characterizations for random fields defin
 ed on Euclidean domains.\nMany theoretical results have been obtained for 
 excursions of Gaussian processes and include expected values of the so-cal
 led Lipschitz-Killing curvatures (LKCs)\, such as the area\, perimeter and
  Euler characteristic in two-dimensional Euclidean space. In this talk we 
 will describe a recent series of theoretical and computational contributio
 ns in this field. Our aim is to provide answers to questions like:\n- How 
 the geometric measures of an excursion set can be inferred from a discrete
  sample of the excursion set?\n- How these measures can be related back to
  the distributional properties of the random field from which the excursio
 n set was obtained?\n- How the excursion set geometry can be used to infer
  the extremal behavior of random fields?
CATEGORIES:Séminaire,Probabilités,Statistique
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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