探索加速膨胀的机制成为现代宇宙学研究中最重要的问题之一。当前，不管是解释早期宇宙加速膨胀的暴胀机制还是解释当前宇宙加速膨胀的暗能量问题，都存在着理论模型的简并。对于机制的本质，我们还是难以回答的。结合快速发展的观测技术，解决本质疑难的关键途径之一是精确测定宇宙学参数，以区分不同的理论模型，从而丰富对本质属性的探索。本项目关注于利用星系红移巡天，通过数值模拟和统计分析的方法，就宇宙学参数确定以及宇宙学观测量的误差计算进行研究。具体内容包括：1，综合更新数据，提高对相互作用真空能模型的检验精度；2，利用来自下一代星系红移巡天探测的多类型的大尺度结构示踪物的相对大小测量功率谱，红移空间畸变参数和非高斯性参数，实现对这些量克服宇宙方差的测量；3，联合测光和光谱星系红移巡天限制宇宙学参数，实现在高置信度下区分暗能量和修改引力。

It has been one of the most important issues to explore the mechanism of the accelerated expansion of the Universe in the research of modern cosmology. Nowadays there exists the degeneracy of the theoretical models for the inflation to explain the early cosmic acceleration and dark energy to drive the present cosmic acceleration. Up to now, it is still difficult to answer the nature of cosmic acceleration. With the rapid development of the technology for the probe, one of the key methods to solve the puzzles of nature is to determine the cosmological parameters at the high precision level, so that numerous models can be distinguished and the probe of the property of nature can be enriched. This project focuses on the determination of cosmological parameters and the calculation of the errors of observed quantities by the numerical simulation and statistical analysis using the galaxy redshift surveys. The research contents include: 1, We will improve the precision of tests of the interacting vacuum energy model using the combined observations. 2, The cosmic variance can be circumvented using the relative clustering between multi tracers of large scale structure from the next-generation galaxy redshift surveys. The method is used to measure power spectrum, redshift space distortion parameter and non-gaussianity parameter within the high precision. 3, The combined data sets from the photometric and spectroscopic galaxy surveys are used to constrain the cosmological parameters to distinguish dark energy and modified gravity at the high confidence level.