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우주론의 많은 물리량은 적분을 거쳐서만 관측됩니다. 예를 들어 중력렌즈 자료는 물질 파워 스펙트럼에 기하학적 커널이 합성곱된 양을 측정합니다. 그 아래의 함수를 복원하는 일은 잡음에 민감한 비적정(ill-posed) 역문제입니다.

J.-Q. Jiang, A. Dawn, D. K. Hazra, A. Shafieloo와 함께, 수정·정칙화된 Richardson–Lucy 디컨볼루션으로 CMB 렌즈 효과와 3×2pt 측정(은하 군집, 은하–은하 렌즈, 우주 시어)으로부터 물질 파워 스펙트럼을 그 형태를 가정하지 않고 재구성합니다.

논문

Reconstructed linear matter power spectrum divided by the fiducial prediction, with 68% and 95% Monte Carlo bands.
Reconstructed linear matter power spectrum divided by the fiducial prediction, with 68% and 95% Monte Carlo bands.

2026 · arXiv 프리프린트

Finding the distribution of matter using lenses – I: deconvolution-based reconstruction with CMB lensing

Dawn, A., Jiang, J.-Q., Hazra, D. K., L'Huillier, B., Shafieloo, A.

We reconstruct the linear matter power spectrum at z=0z = 0 from joint Planck PR4, ACT DR6 and SPT-3G CMB lensing, using a modified Richardson–Lucy deconvolution. The result follows the linear prediction on large scales, lies systematically higher for k≳0.1 Mpc−1k \gtrsim 0.1\,\mathrm{Mpc}^{-1}, and partly preserves the BAO feature.

arXiv:2609.08457

우주 거대구조중력렌즈역문제

Reconstructions of a 5% oscillatory feature from 1000 noisy LSST-like mocks (blue), their median (green) and the truth (red).
Reconstructions of a 5% oscillatory feature from 1000 noisy LSST-like mocks (blue), their median (green) and the truth (red).

2026 · arXiv 프리프린트

Finding the distribution of matter using lenses – II: deconvolution-based reconstruction with 3×23\times2pt measurements

Jiang, J.-Q., Dawn, A., Hazra, D. K., L'Huillier, B., Shafieloo, A.

A regularised Richardson–Lucy framework tests scale-dependent departures from the nonlinear matter power spectrum using galaxy clustering, galaxy–galaxy lensing and cosmic shear. On LSST Year-10-like mocks, oscillations of about 1% or more are recovered over 0.1≲k≲0.5 Mpc−10.1 \lesssim k \lesssim 0.5\,\mathrm{Mpc}^{-1}, and a 1% oscillation is detected at about 2.6σ2.6\sigma.

arXiv:2609.08460

우주 거대구조중력렌즈역문제

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