Concept
Mesure régulière
Publications associées (22)
Multiplicative chaos of the Brownian loop soup
Antoine Pierre François Jego, Titus Lupu
We construct a measure on the thick points of a Brownian loop soup in a bounded domain D of the plane with given intensity theta>0, which is formally obtained by exponentiating the square root of its occupation field. The measure is construct ...
WILEY2023Restriction of 3D arithmetic Laplace eigenfunctions to a plane
We consider a random Gaussian ensemble of Laplace eigenfunctions on the 3D torus, and investigate the 1-dimensional Hausdorff measure ('length') of nodal intersections against a smooth 2-dimensional toral sub-manifold ('surface'). A prior result of ours pr ...
2020Concrete Dam Displacement Prediction Based on an ISODATA-GMM Clustering and Random Coefficient Model
Zhenzhu Meng, Yating Hu, Chenfei Shao
Displacement data modelling is of great importance for the safety control of concrete dams. The commonly used artificial intelligence method modelled the displacement data at each monitoring point individually, i.e., the data correlations between the monit ...
2019