Statistical Analysis of Random Fields in Cosmology

Session

Chair: Dan Cheng

4 Mar 2024, 13:20

Tsukuba Campus, KEK, Tsukuba, Japan

Conveners

Chair: Dan Cheng

• Dan Cheng

3. Minkowski functionals for isotropic random fields in the Euclidean space and the sphere

Satoshi Kuriki

04/03/2024, 13:20

We first introduce the expected Minkowski functional (MF) formulas for the excursion sets of a weakly non-Gaussian smooth isotropic random field. Here, the random field is defined on a bounded index set $T$ in the Euclidean space. The MF formulas contain the boundary correction terms unless the MFs of the index set $T$ vanish. In applications in cosmology, only their leading terms proportional...

4. Application of Minkowski functional to high energy physics and deep learning

Mihoko Nojiri

04/03/2024, 14:00