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Mathematical methods for classifying fast radio bursts

The recent extragalactic discovery of Fast Radio Bursts (FRBs) has ignited a whirlwind of research, and numerous fundamental questions about them are being studied. This thesis delves into this field, aiming to bridge the gap in our exploration of FRB populations. The FRBs are cosmic transients char...

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Bibliographic Details
Main Author: Bhatporia, Shruti
Other Authors: Weltman, Amanda
Format: Thesis
Language:English
English
Published: Department of Mathematics and Applied Mathematics 2025
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Summary:The recent extragalactic discovery of Fast Radio Bursts (FRBs) has ignited a whirlwind of research, and numerous fundamental questions about them are being studied. This thesis delves into this field, aiming to bridge the gap in our exploration of FRB populations. The FRBs are cosmic transients characterised by powerful millisecond-duration radio waves emanating from extragalactic distances. Their origins remain a mystery, fueling ongoing debate regarding progenitor models. Despite their ephemeral nature, the energy output of a single FRB can surpass the daily radiant energy emitted by a main sequence star in a radio band. While undoubtedly powerful astrophysical phenomena, their transient nature presents a significant challenge in pinpointing source locations. The discovery of the first FRB in 2001 was initially met with scepticism and attributed to instrumental error. However, advancements in telescope sensitivity and data analysis techniques have led to the detection of numerous subsequent FRBs, solidifying their status as a novel class of astronomical phenomenon. Unveiling the mysteries surrounding FRBs encompasses a multifaceted research endeavour. Astronomers are actively engaged in identifying their host environments, elucidating the mechanisms responsible for their tremendous energy release, and exploring potential sub-classifications within the FRB population. By deciphering the secrets of FRBs, we stand to gain invaluable insights into extreme astrophysical processes and the nature of the distant Universe. The Hydrogen Intensity Real-time eXperiment (HIRAX) is a next-generation instrument specifically designed to detect and localise FRB along with intensity mapping. To efficiently manage the high-volume data stream generated by HIRAX, a dedicated FRB processing pipeline is essential. We explore FRB rates with the HIRAX instrument in this thesis. We also discuss the FRB detection pipeline with this radio telescope.