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Statistical properties and cosmological applications of fast radio bursts
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Fast radio burst (FRB) is a type of extragalactic radio signal characterized by millisecond duration, extremely high brightness temperature, and large dispersion measure. It remains a mystery in the universe. Advancements in instrumentation have led to the discovery of 816 FRB sources and 7622 bursts from 67 repeating FRBs now. This field is undergoing rapid development, rapidly advancing our understanding of the physics of FRBs as new observational data accumulates. The accumulation of data has also promoted our exploration of our universe. In this review, we summarize the statistical analysis and cosmological applications using large samples of FRBs, including the energy functions, the waiting time distributions of repeating FRBs, the probe of "missing baryons" and circumgalactic medium in the universe, measurements of cosmological parameters, exploration of the epoch of reionization history, and study of the gravitational lensing of FRBs.
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Cited by 3 Pith papers
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A universal break in energy functions of three hyperactive repeating fast radio bursts
The energy functions of three repeating FRBs show a universal break around 10^38 erg, which the authors interpret as evidence for starquake triggering in magnetars.
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Structure Functions of Rotation Measures Revealing the Origin of Fast Radio Bursts
The RM structure functions of PSR B1744-24A and FRB 20201124A show an orbit-driven geometric component, which the authors interpret as evidence for a binary companion around the FRB.
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Pad\'e Approximants for cosmic Dispersion Measures
Padé approximants reproduce the FRB diffuse dispersion measure integral to within a few percent while evaluating 2–17 times faster than numerical quadrature.
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