Problem Set 05 Solutions: Weak-lensing parameter combinations

ASTR 476: Observational Cosmology ยท 2026-09-25

Instructor key. Numeric values are generated by build_astr476_package.py from the computation module and the included source subset.

Solution 1

sigma8=0.776 sqrt(0.3/0.339)=0.73000, conditional on central Omega_m.

Solution 2

Endpoint transformations at fixed S8: 0.76586 for Omega_m lower and 0.69781 for Omega_m upper. They ignore covariance and variation in S8.

Solution 3

Cosmic shear, galaxy-galaxy lensing, and galaxy clustering; examples include shear calibration, source photo-z, intrinsic alignment, lens bias, baryonic feedback, and survey mask.

Solution 4

S8 combines sigma8 and Omega_m along a posterior degeneracy direction; many pairs map to the same S8.