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Precision pulsar timing is integral to the detection of the nanohertz stochastic gravitational-wave background as well as understanding the physics of neutron stars. Conventional pulsar timing often uses fixed time and frequency-averaged…

Instrumentation and Methods for Astrophysics · Physics 2023-06-14 Rowina S. Nathan , Matthew T. Miles , Gregory Ashton , Paul D. Lasky , Eric Thrane , Daniel J. Reardon , Ryan M. Shannon , Andrew D. Cameron

Pulsar timing arrays (PTAs) might detect gravitational waves (GWs) from massive black hole (MBH) binaries within this decade. The signal is expected to be an incoherent superposition of several nearly-monochromatic waves of different…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Antoine Petiteau , Stanislav Babak , Alberto Sesana , Mariana de Araujo

Super-massive black hole binaries are expected to produce a GW signal in the nano-Hertz frequency band which may be detected by PTAs in the coming years. The signal is composed of both stochastic and individually resolvable components. Here…

Instrumentation and Methods for Astrophysics · Physics 2019-07-17 Janna Goldstein , John Veitch , Alberto Sesana , Alberto Vecchio

Complex inference tasks, such as those encountered in Pulsar Timing Array (PTA) data analysis, rely on Bayesian frameworks. The high-dimensional parameter space and the strong interdependencies among astrophysical, pulsar noise, and…

Instrumentation and Methods for Astrophysics · Physics 2025-11-06 Luigi D'amico , Eleonora Villa , Fatima Modica Bittordo , Aldo Barca , Francesco Alì , Massimo Meneghetti , Luca Naso

Langevin stochastic differential equations provide a dynamical description of pulsar timing noise and gravitational wave background (GWB) signals. They are also central to state space algorithms that have gained traction in pulsar timing…

High Energy Astrophysical Phenomena · Physics 2026-05-05 Reginald Christian Bernardo

The LISA mission will likely be a signal dominated detector, such that one challenge is the separation of the different astrophysical sources, and to distinguish between them and the instrumental noise. One of the goals of LISA is to probe…

General Relativity and Quantum Cosmology · Physics 2022-01-19 Martina Muratore , Daniele Vetrugno , Stefano Vitale , Olaf Hartwig

We investigate the impact of noise processes on high-precision pulsar timing. Our analysis focuses on the measurability of the second spin frequency derivative $\ddot{\nu}$. This $\ddot{\nu}$ can be induced by several factors including the…

High Energy Astrophysical Phenomena · Physics 2019-07-09 X. J. Liu , M. J. Keith , C. Bassa , B. W. Stappers

Pulsar timing arrays (PTAs) are anticipated to detect continuous gravitational waves (GWs) from individual supermassive black hole binaries (SMBHBs) in the near future. To identify the host galaxy of a GW source, PTAs require significantly…

General Relativity and Quantum Cosmology · Physics 2026-01-12 Ryo Kato , Keitaro Takahashi

Gravitational waves are a radically new way to peer into the darkest depths of the cosmos. Pulsars can be used to make direct detections of gravitational waves through precision timing. When a gravitational wave passes between a pulsar and…

High Energy Astrophysical Phenomena · Physics 2021-05-28 Stephen R. Taylor

Bayesian parameter estimation is fast becoming the language of gravitational-wave astronomy. It is the method by which gravitational-wave data is used to infer the sources' astrophysical properties. We introduce a user-friendly Bayesian…

Massive black holes are key ingredients of the assembly and evolution of cosmic structures. Pulsar Timing Arrays (PTAs) currently provide the only means to observe gravitational radiation from massive black hole binary systems with masses…

Cosmology and Nongalactic Astrophysics · Physics 2010-05-27 A. Sesana , A. Vecchio

Pulsars are unique astrophysical laboratories because of their clock-like timing precision, providing new ways to test general relativity and detect gravitational waves. One impediment to high-precision pulsar timing experiments is timing…

Solar and Stellar Astrophysics · Physics 2015-05-20 Rachel Rosen , Maura A. McLaughlin , Susan E. Thompson

Pulsar timing arrays (PTAs) are searching for gravitational waves from supermassive black hole binaries (SMBHBs). Here we show how future PTAs could use a detection of gravitational waves from individually resolved SMBHB sources to produce…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-13 Casey McGrath , Daniel J. D'Orazio , Jolien Creighton

By inferring the gravitational wave background (GWB) from a population of supermassive black hole binaries (SMBHBs), pulsar timing arrays (PTAs) enable the study of massive black holes. In many ways, PTAs manifest the promise of a…

High Energy Astrophysical Phenomena · Physics 2025-12-16 Nima Laal , Stephen R. Taylor , Cayenne Matt , Kayhan Gultekin

Pulsar timing arrays (PTAs) have recently entered the detection era, quickly moving beyond the goal of simply improving sensitivity at the lowest frequencies for the sake of observing the stochastic gravitational wave background (GWB), and…

Vela is a package for performing Bayesian pulsar timing & noise analysis written in Julia and Python. In the wideband paradigm of pulsar timing, simultaneous time of arrival and dispersion measure measurements are derived from a radio…

Instrumentation and Methods for Astrophysics · Physics 2025-08-19 Abhimanyu Susobhanan

For systems of classical spins interacting with the bath via damping and thermal noise, the approach is suggested to replace the white noise by a pulse noise acting at regular time intervals $\Delta t$, within which the system evolves…

Statistical Mechanics · Physics 2017-01-25 D. A. Garanin

Pulsar Timing Array projects have found evidence of a stochastic background of gravitational waves (GWB) using data from an ensemble of pulsars. In the literature, minimal assumptions are made about the signal and noise processes that…

Instrumentation and Methods for Astrophysics · Physics 2024-11-28 Rutger van Haasteren

Time-delay interferometry (TDI) is a data processing technique for LISA designed to suppress the otherwise overwhelming laser noise by several orders of magnitude. It is widely believed that TDI can only be applied once all phase or…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Olaf Hartwig , Jean-Baptiste Bayle , Martin Staab , Aurélien Hees , Marc Lilley , Peter Wolf