发表机构
Center for Data-Driven Discovery, Kavli IPMU (WPI), UTIAS, The University of Tokyo; Kavli IPMU (WPI), UTIAS, The University of Tokyo（数据驱动发现中心，卡弗里宇宙学前沿研究所（WPI），UTIAS，东京大学; 卡弗里宇宙学前沿研究所（WPI），UTIAS，东京大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文讲义系统梳理了从暴胀量子涨落产生的原初扰动到星系功率谱多极矩的完整理论链条，涵盖线性功率谱、红移空间畸变、Kaiser模型及非线性偏袒和单圈有效场论等核心方法，为全形状分析提供明确推导。
AI 中文摘要
这些讲义追溯了从暴胀量子涨落产生的原初曲率扰动到大尺度结构星系功率谱多极矩的完整链条。三个核心讲座发展了线性物质功率谱、球对称与各向异性坍缩、星系偏袒、红移空间畸变、Kaiser模型以及具有高斯协方差的多极矩估计器。扩展部分发展了非线性偏袒和用于全形状分析的单圈有效场论模型。推导过程明确；附录收集了较长的计算和解答。核心讲座假设读者具备本科水平宇宙学知识；扩展部分假设读者熟悉微扰理论。
英文摘要
These notes trace large-scale structure from primordial curvature perturbations generated by inflationary quantum fluctuations to galaxy power-spectrum multipoles. Three core lectures develop the linear matter power spectrum, spherical and anisotropic collapse, galaxy bias, redshift-space distortions, the Kaiser model, and multipole estimators with Gaussian covariance. The extension develops nonlinear bias and the one-loop effective field theory model used in full-shape analyses. Derivations are explicit; appendices collect longer calculations and solutions. The core lectures assume undergraduate-level cosmology; the extension assumes familiarity with perturbation theory.
Comments51 pages (39 pages plus appendices and references); 14 figures, 1 table, a few exercises. Extended version of the lectures delivered at the "10th Vietnam School of Astrophysics" (VSOA10), July 27 - Aug 1 2026; v1: prepared for submission to SciPost Physics Lecture Notes; v2: Submission to SciPost
