An overview on Topological and Geometrical Properties of Cosmological stochastic Fields

摘要: DUE TO MANY REASONS, FLUCTUATIONS IN COSMOLOGICAL FIELDS BECOME STOCHASTIC. THEREFORE, WE HAVE TO RELY ON ROBUST METHODS TO EXTRACT RELIABLE RESULTS. SOME OF STOCHASTIC FIELDS IN COSMOLOGY AND ASTROPHYSICS IN VARIOUS DIMENSIONS ARE INITIAL CONDITIONS, CMB, LARGE SCALE FLUCTUATIONS AND LYMAN-ALPHA FOREST AND ETC. IN THIS TALK, I WILL GIVE SOME MOTIVATIONS ABOUT STOCHASTICITY IN COSMOLOGICAL FIELDS AND THEN SOME TOPOLOGICAL AND GEOMETRICAL MEASURES WILL BE ASSESSED AND DISCUSSED.