180 citations · 752 across the 19 of their papers we have counts for
19 papers
Calibrating Gamma-Ray Bursts by Using a Gaussian Process with Type Ia Supernovae
Nan Liang, Zihao Li, Xiaoyao Xie +1
In this paper, we calibrate the Amati relation (the - correlation) of gamma-ray bursts (GRBs) in a cosmology-independent way. By using Gaussian process to…
Redshift-evolutionary X-ray and UV luminosity relation of quasars from Gaussian copula
Bao Wang, Yang Liu, Zunli Yuan +3
We construct a three-dimensional and redshift-evolutionary X-ray and ultraviolet () luminosity relation for quasars from the powerful statistic tool called copula, and…
Gamma ray burst constraints on cosmological models from the improved Amati correlation
Yang Liu, Nan Liang, Xiaoyao Xie +3
An improved Amati correlation was constructed in (ApJ 931 (2022) 50) by us recently. In this paper, we further study constraints on the CDM and CDM models from the gamma ray…
The improved Amati correlations from Gaussian copula
Yang Liu, Fuyong Chen, Nan Liang +3
In this paper, we obtain two improved Amati correlations of the Gamma-Ray burst (GRB) data via a powerful statistical tool called copula. After calibrating, with the low-redshift G…
Pricing S&P 500 Index Options with Lévy Jumps
Bin Xie, Weiping Li, Nan Liang
We analyze various jumps for Heston model, non-IID model and three Lévy jump models for S&P 500 index options. The Lévy jump for the S&P 500 index options is inevitable from empiri…
Interaction between dark energy and dark matter: observational constraints from OHD, BAO, CMB and SNe Ia
Shuo Cao, Nan Liang
In order to test if there is energy transfer between dark energy and dark matter, we investigate cosmological constraints on two forms of nontrivial interaction between the dark ma…
Testing the Distance-Duality Relation with a Combination of Cosmological Distance Observations
Shuo Cao, Nan Liang
In this paper, we propose an accurate test of the distance-duality (DD) relation, (where and are the luminosity distances and angu…
A Consistent Test of the Distance-Duality Relation with Galaxy Clusters and Type Ia Supernave
Nan Liang, Zhengxiang Li, Puxun Wu +3
We propose a new consistent method to test of the distance-duality (DD) relation which related angular diameter distances (DA) to the luminosity distances (DL) in a cosmology-indep…
Testing the phenomenological interacting dark energy with observational data
Shuo Cao, Nan Liang, Zong-Hong Zhu
In order to test the possible interaction between dark energy and dark matter, we investigate observational constraints on a phenomenological scenario, in which the ratio between t…
Observational Constraints on Interacting Dark Matter Model Without Dark Energy
Shuo Cao, Zong-Hong Zhu, Nan Liang
The interacting dark matter (IDM) scenario allows for the acceleration of the Universe without Dark Energy. We constrain the IDM model by using the newly revised observational data…
Cosmological Constraints on the DGP braneworld model with Gamma-ray bursts
Nan Liang, Zong-Hong Zhu
We investigate observational constraints on the Dvali, Gabadadze and Porrati (DGP) model with Gamma-ray bursts (GRBs) at high redshift obtained directly from the Union2 Type Ia sup…
Constraints on the generalized Chaplygin gas model including gamma-ray bursts via a Markov Chain Monte Carlo approach
Nan Liang, Lixin Xu, Zong-Hong Zhu
We investigate observational constraints on the generalized Chaplygin gas (GCG) model including the gamma-ray bursts (GRBs) at high redshift obtained directly from the Union2 type…
Latest Cosmological Constraints on Cardassian expansion models including the updated Gamma-ray bursts
Nan Liang, Puxun Wu, Zong-Hong Zhu
In this paper, we constrain the Cardassian expansion models from the latest observations including the updated Gamma-ray bursts (GRBs), which calibrated cosmology-independently fro…
Calibration of GRB Luminosity Relations with Cosmography
He Gao, Nan Liang, Zong-Hong Zhu
For the use of Gamma-Ray Bursts (GRBs) to probe cosmology in a cosmology-independent way, a new method has been proposed to obtain luminosity distances of GRBs by interpolating dir…
Constraints on Cosmological Models and Reconstructing the Acceleration History of the Universe with Gamma-Ray Burst Distance Indicators
Nan Liang, Puxun Wu, Shuang Nan Zhang
Gamma-ray bursts (GRBs) have been regarded as standard candles at very high redshift for cosmology research. We have proposed a new method to calibrate GRB distance indicators with…
Constraints on Cardassian universe from Gamma ray bursts
Tai-Shan Wang, Nan Liang
Constraints on the original Cardassian model and the modified polytropic Cardassian model are examined from the recently derived 42 gamma-ray bursts (GRBs) data calibrated with the…
A Two-field Dilaton Model of Dark Energy
Nan Liang, ChangJun Gao, ShuangNan Zhang
We investigate the cosmological evolution of a two-field model of dark energy where one is a dilaton field with canonical kinetic energy and the other is a phantom field with a neg…
Cosmology-Independent Distance Moduli of 42 Gamma-Ray Bursts between Redshift of 1.44 and 6.60
Nan Liang, Shuang Nan Zhang
This report is an update and extension of our paper accepted for publication in ApJ (arXiv:0802.4262). Since objects at the same redshift should have the same luminosity distance a…
A Cosmology-Independent Calibration of Gamma-Ray Burst Luminosity Relations and the Hubble Diagram
Nan Liang, Wei Ke Xiao, Yuan Liu +1
An important concern in the application of gamma-ray bursts (GRBs) to cosmology is that the calibration of GRB luminosity/energy relations depends on the cosmological model, due to…