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Accurately measuring the Hubble parameter is vital for understanding the expansion history and properties of the universe. In this paper, we propose a new method that supplements the covariance between redshift pairs to improve the…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-23 Jian-Chen Zhang , Yu Hu , Kang Jiao , Hong-Feng Wang , Yuan-Bo Xie , Bo Yu , Li-Li Zhao , Tong-Jie Zhang

Aiming at exploring the nature of dark energy, we use thirty-six observational Hubble parameter data (OHD) in the redshift range $0 \leqslant z \leqslant 2.36$ to make a cosmological model-independent test of the two-point…

Cosmology and Nongalactic Astrophysics · Physics 2015-07-10 Xiao-Lei Meng , Xin Wang , Shi-Yu Li , Tong-Jie Zhang

Recent DESI data suggest that dark energy may be evolving and motivate the use of model-independent diagnostics such as $Om(z)$ and probes of the equation of state (EoS) of dark energy, $w(z)$. Traditional reconstructions of $w(z)$ rely on…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Satadru Bag , Ryan E. Keeley , Varun Sahni , Arman Shafieloo

We propose a non-parametric method of smoothing supernova data over redshift using a Gaussian kernel in order to reconstruct important cosmological quantities including H(z) and w(z) in a model independent manner. This method is shown to be…

Astrophysics · Physics 2009-11-24 Arman Shafieloo , Ujjaini Alam , Varun Sahni , Alexei A. Starobinsky

Using the 37-point cosmic-chronometer subset of observational Hubble parameter (OHD) data, we develop a Bayesian Gaussian-process framework to reconstruct the normalized dark-energy density \(f(z)\) and equation of state \(w(z)\), focusing…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-14 Jia-yan Jiang , Wei Hong , Tong-jie Zhang

The model-independent piecewise parametrizations (0-spline, linear-spline and cubic-spline) are used to estimate constraints of equation of state of dark energy ($w_{de}$) from current observational data (including SNIa, BAO and Hubble…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-11 Qiping Su , Xi He , Rong-Gen Cai

We study the degeneracies between dark energy dynamics, dark matter and curvature using a non-parametric and non-perturbative approach. This allows us to examine the knock-on bias induced in the reconstructed dark energy equation of state,…

Astrophysics · Physics 2008-08-05 Renée Hlozek , Marina Cortês , Chris Clarkson , Bruce Bassett

The main aim of this paper is to perform a model comparison for some reconstructions of the key properties that describe the dark energy of the Universe i.e. energy density and the equation of state (EoS). We carry out this process by using…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-28 Luis A. Escamilla , J. Alberto Vazquez

We investigate how strongly late-time inferences about DE dynamics depend on the functional prior used to represent the expansion history. Using identical late-time combinations of CC, DESI BAO measurements, the Pantheon+ SN1a sample, and…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 Özgür Akarsu , Maria Caruana , Konstantinos F. Dialektopoulos , Luis A. Escamilla , Emre O. Kahya , Jackson Levi Said

Using a model-independent Gaussian process (GP) method to reconstruct the dimensionless luminosity distance $D$ and its derivatives, we derive the evolution of the dimensionless Hubble parameter $E$, the deceleration parameter $q$, and the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-03 Xue Zhang , Yin-Hao Xu , Yu Sang

The cause of the accelerated expansion of the Universe poses one of the most fundamental questions in physics today. In the absence of a compelling theory to explain the observations, a first task is to develop a robust phenomenology. If…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Tracy Holsclaw , Ujjaini Alam , Bruno Sanso , Herbie Lee , Katrin Heitmann , Salman Habib , David Higdon

Cosmological models with variable and modified equations of state for dark energy are confronted with observational data, including Type Ia supernovae, Hubble parameter data $H(z)$ from different sources, and observational manifestations of…

General Relativity and Quantum Cosmology · Physics 2022-03-29 German S. Sharov , Vasily E. Myachin

The nature of dark matter remains one of the most fundamental and unresolved questions in modern cosmology. In most cosmological models, dark matter is typically modeled as pressureless dust with an equation of state (EoS) parameter $w_{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-22 Tian-Nuo Li , Yi-Min Zhang , Yan-Hong Yao , Peng-Ju Wu , Jing-Fei Zhang , Xin Zhang

The equation of state (EOS), $w(z)$, is the most important parameter of dark energy. We reconstruct the evolution of this EOS in a model-independent way using the latest cosmic microwave background (CMB) data from Planck and other…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-18 F. Y. Wang , Z. G. Dai

With a parametric form of the equation of state parameter of dark energy, a quintessence potential has been reconstructed. The potential is found to be a generalization of a double exponential potential. The constraints on the parameters…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Ankan Mukherjee , Narayan Banerjee

We study the performance of the latest $H(z)$ data in constraining the cosmological parameters of different cosmological models, including that of Chevalier-Polarski-Linder $w_{0}w_{1}$ parametrization. First, we introduce a statistical…

Cosmology and Nongalactic Astrophysics · Physics 2018-03-07 Fotios Anagnostopoulos , Spyros Basilakos

The newly released observational $H(z)$ data (OHD) is used to constrain $\Lambda(t)$CDM models as holographic and agegraphic dark energy. By the use of the length scale and time scale as the IR cut-off including Hubble horizon (HH), future…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-13 Zhong-Xu Zhai , Tong-Jie Zhang , Wen-Biao Liu

We study dark energy through the viewpoints of parametric and nonparametric analyses of late-time cosmological data. We consider four Hubble parameter priors reflecting the Hubble tension and make use of two phenomenological functions,…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-27 Reginald Christian Bernardo , Daniela Grandón , Jackson Levi Said , Víctor H. Cárdenas

We present a model-independent method of reconstructing scale factor against lookback time from the Observational Hubble parameter Data (OHD). The reconstruction method is independent of dynamical models and is only based on the…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-30 Jian-Chen Zhang , Jing Zheng , Tong-Jie Zhang

Hubble constant tension, together with the recent indications of dynamical dark energy proposed from the Dark Energy Spectroscopic Instrument (DESI) baryon acoustic oscillation (BAO) measurements, poses significant challenges to the…

Cosmology and Nongalactic Astrophysics · Physics 2026-03-11 Yi-Ying Wang , Yin-Jie Li , Yi-Zhong Fan