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We explore the use of Gibbs sampling in estimating the noise properties of individual pulsars and illustrate its effectiveness using the NANOGrav 11-year data set. We find that Gibbs sampling noise modeling (GM) is more efficient than the…

Instrumentation and Methods for Astrophysics · Physics 2023-09-08 Nima Laal , William G Lamb , Joseph D. Romano , Xavier Siemens , Stephen R. Taylor , Rutger van Haasteren

The recently reported signal of common red noise between pulsars by several pulsar timing array collaborations has been thought as evidence of the stochastic gravitational wave background (SGWB) due to the Helling-Downs correlation. In this…

General Relativity and Quantum Cosmology · Physics 2025-01-29 Jun-Qian Jiang , Yun-Song Piao

We calculate the properties, occurrence rates and detection prospects of individually resolvable 'single sources' in the low frequency gravitational wave (GW) spectrum. Our simulations use the population of galaxies and massive black hole…

High Energy Astrophysical Phenomena · Physics 2018-03-28 Luke Zoltan Kelley , Laura Blecha , Lars Hernquist , Alberto Sesana , Stephen R. Taylor

Incredible progress on the theoretical uncertainty of the spatial correlations of the stochastic gravitational wave (GW) background were recently made. However, it remains to realize the impact of this theoretical uncertainty on PTA cross…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Reginald Christian Bernardo , Kin-Wang Ng

While pulsar timing array (PTA) collaborations have reported evidence for a stochastic gravitational wave background (GWB), the detection of continuous gravitational waves (GWs) from a confirmed supermassive black hole binary (SMBHB) would…

Astrophysics of Galaxies · Physics 2025-10-13 Li-Wen Tian , Yan-Chen Bi , Yu-Mei Wu , Qing-Guo Huang

Any unambiguous detection of a stochastic gravitational wave background by a pulsar timing array will rest on the measurement of a characteristic angular correlation between pulsars. The ability to measure this correlation will depend on…

High Energy Astrophysical Phenomena · Physics 2019-05-27 Elinore Roebber

We present two methods for determining the significance of a stochastic gravitational-wave (GW) background affecting a pulsar-timing array, where detection is based on evidence for quadrupolar spatial correlations between pulsars. Rather…

Instrumentation and Methods for Astrophysics · Physics 2017-02-13 S. R. Taylor , L. Lentati , S. Babak , P. Brem , J. R. Gair , A. Sesana , A. Vecchio

Strong evidence of the existence of the Stochastic Gravitational-Wave Background (SGWB) has been reported by the NANOGrav, PPTA, EPTA and CPTA collaborations. The Bayesian posteriors of the Gravitational-Wave Background (GWB) amplitude and…

General Relativity and Quantum Cosmology · Physics 2023-07-04 Chao Zhang , Ning Dai , Qing Gao , Yungui Gong , Tong Jiang , Xuchen Lu

Precision pulsar timing at the level of tens to hundreds of nanoseconds allows detection of nanohertz gravitational waves (GWs) from supermassive binary black holes (SMBBHs) at the cores of merging galaxies and, potentially, from exotic…

Instrumentation and Methods for Astrophysics · Physics 2019-03-25 J. M. Cordes , M. A. McLaughlin

The announcement in the summer of 2023 about the discovery of evidence for a gravitational wave background (GWB) using pulsar timing arrays (PTAs) has ignited both the PTA and the larger scientific community's interest in the experiment and…

Instrumentation and Methods for Astrophysics · Physics 2025-04-22 Nima Laal , Stephen R. Taylor , Rutger van Haasteren , William G Lamb , Xavier Siemens

The maximum frequency of gravitational waves (GWs) detectable with traditional pulsar timing methods is set by the Nyquist frequency ($f_{\rm{Ny}}$) of the observation. Beyond this frequency, GWs leave no temporal-correlated signals;…

Instrumentation and Methods for Astrophysics · Physics 2016-05-17 S. -X Yi , S. -N. Zhang

Radio pulsars are often used as clocks in a wide variety of experiments. Imperfections in the clock, known as timing noise, have the potential to reduce the significance of, or even thwart e.g. the attempt to find a stochastic gravitational…

High Energy Astrophysical Phenomena · Physics 2019-06-26 Nakornping Namkham , Phrudth Jaroenjittichai , Simon Johnston

We describe several new techniques which accelerate Bayesian searches for continuous gravitational-wave emission from supermassive black-hole binaries using pulsar timing arrays. These techniques mitigate the problematic increase of…

General Relativity and Quantum Cosmology · Physics 2014-11-25 Stephen Taylor , Justin Ellis , Jonathan Gair

As pulsar timing arrays (PTAs) transition into the detection era of the stochastic gravitational wave background (GWB), it is important for PTA collaborations to review and possibly revise their observing campaigns. The detection of a…

High Energy Astrophysical Phenomena · Physics 2024-12-18 Jeremy G. Baier , Jeffrey S. Hazboun , Joseph D. Romano

Pulsar timing arrays (PTAs) are designed to detect nanohertz-frequency gravitational waves (GWs). Since GWs are anticipated from cosmic strings, PTAs offer a viable approach to testing their existence. We present the results of the first…

We revisit the theoretical modeling and simulation of a Gaussian stochastic gravitational wave background (SGWB) signal in a pulsar timing array (PTA). We show that the correlation between Fourier components of pulsar timing residuals can…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-16 Reginald Christian Bernardo , Kin-Wang Ng

The sensitivity of Pulsar Timing Arrays to gravitational waves depends on the noise present in the individual pulsar timing data. Noise may be either intrinsic or extrinsic to the pulsar. Intrinsic sources of noise will include rotational…

Individual supermassive black hole binaries in non-circular orbits are possible nanohertz gravitational wave sources for the rapidly maturing Pulsar Timing Array experiments. We develop an accurate and efficient approach to compute Pulsar…

General Relativity and Quantum Cosmology · Physics 2020-03-11 Abhimanyu Susobhanan , Achamveedu Gopakumar , George Hobbs , Stephen R. Taylor

Gravitational wave background results from the superposition of gravitational waves generated from all sources across the Universe. Previous efforts on detecting such a background with pulsar timing arrays assume it is an isotropic Gaussian…

Instrumentation and Methods for Astrophysics · Physics 2015-06-23 Xihao Deng

We searched for an isotropic stochastic gravitational wave background in the second data release of the International Pulsar Timing Array, a global collaboration synthesizing decadal-length pulsar-timing campaigns in North America, Europe,…

High Energy Astrophysical Phenomena · Physics 2022-01-12 J. Antoniadis , Z. Arzoumanian , S. Babak , M. Bailes , A. -S. Bak Nielsen , P. T. Baker , C. G. Bassa , B. Becsy , A. Berthereau , M. Bonetti , A. Brazier , P. R. Brook , M. Burgay , S. Burke-Spolaor , R. N. Caballero , J. A. Casey-Clyde , A. Chalumeau , D. J. Champion , M. Charisi , S. Chatterjee , S. Chen , I. Cognard , J. M. Cordes , N. J. Cornish , F. Crawford , H. T. Cromartie , K. Crowter , S. Dai , M. E. DeCesar , P. B. Demorest , G. Desvignes , T. Dolch , B. Drachler , M. Falxa , E. C. Ferrara , W. Fiore , E. Fonseca , J. R. Gair , N. Garver-Daniels , B. Goncharov , D. C. Good , E. Graikou , L. Guillemot , Y. J. Guo , J. S. Hazboun , G. Hobbs , H. Hu , K. Islo , G. H. Janssen , R. J. Jennings , A. D. Johnson , M. L. Jones , A. R. Kaiser , D. L. Kaplan , R. Karuppusamy , M. J. Keith , L. Z. Kelley , M. Kerr , J. S. Key , M. Kramer , M. T. Lam , W. G. Lamb , T. J. W. Lazio , K. J. Lee , L. Lentati , K. Liu , J. Luo , R. S. Lynch , A. G. Lyne , D. R. Madison , R. A. Main , R. N. Manchester , A. McEwen , J. W. McKee , M. A. McLaughlin , M. B. Mickaliger , C. M. F. Mingarelli , C. Ng , D. J. Nice , S. Os lowski , A. Parthasarathy , T. T. Pennucci , B. B. P. Perera , D. Perrodin , A. Petiteau , N. S. Pol , N. K. Porayko , A. Possenti , S. M. Ransom , P. S. Ray , D. J. Reardon , C. J. Russell , A. Samajdar , L. M. Sampson , S. Sanidas , J. M. Sarkissian , K. Schmitz , L. Schult , A. Sesana , G. Shaifullah , R. M. Shannon , B. J. Shapiro-Albert , X. Siemens , J. Simon , T. L. Smith , L. Speri , R. Spiewak , I. H. Stairs , B. W. Stappers , D. R. Stinebring , J. K. Swiggum , S. R. Taylor , G. Theureau , C. Tiburzi , M. Vallisneri , E. van der Wateren , A. Vecchio , J. P. W. Verbiest , S. J. Vigeland , H. Wahl , J. B. Wang , J. Wang , L. Wang , C. A. Witt , S. Zhang , X. J. Zhu
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