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The upcoming Laser Interferometer Space Antenna (LISA) will detect up to thousands of extreme-mass-ratio inspirals (EMRIs). These sources will spend $\sim 10^5$ cycles in band, and are therefore sensitive to tiny changes in the…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Shubham Kejriwal , Enrico Barausse , Alvin J. K. Chua

Correlation between microstructure noise and latent financial logarithmic returns is an empirically relevant phenomenon with sound theoretical justification. With few notable exceptions, all integrated variance estimators proposed in the…

Computation · Statistics 2019-05-29 Stefano Peluso , Antonietta Mira , Pietro Muliere

The standard approach to inference from cosmic large-scale structure data employs summary statistics that are compared to analytic models in a Gaussian likelihood with pre-computed covariance. To overcome the idealising assumptions about…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-24 Kiyam Lin , Maximilian von Wietersheim-Kramsta , Benjamin Joachimi , Stephen Feeney

A general rate estimation method is proposed that is based on studying the in-sample evolution of appropriately chosen diverging/converging statistics. The proposed rate estimators are based on simple least squares arguments, and are shown…

Statistics Theory · Mathematics 2009-09-29 Tucker McElroy , Dimitris N. Politis

Many relevant applications in gravitational wave physics share a significant common problem: the seven-dimensional parameter space of gravitational waveforms from precessing compact binary inspirals and coalescences is large enough to…

General Relativity and Quantum Cosmology · Physics 2014-07-16 Jonathan Blackman , Bela Szilagyi , Chad R. Galley , Manuel Tiglio

Inspirals of stellar-mass compact objects into massive black holes, known as extreme mass ratio inspirals (EMRIs), are one of the key targets for upcoming space-based gravitational-wave detectors. In this paper we take the first steps…

General Relativity and Quantum Cosmology · Physics 2023-08-01 Lukáš Polcar , Georgios Lukes-Gerakopoulos , Vojtěch Witzany

In this paper, we calculate the frequencies of geodesic orbits in self-dual spacetime on the equatorial plane and obtain the leading-order effects of loop quantum parameters $P$ on the energy flux and angular momentum flux in eccentric…

General Relativity and Quantum Cosmology · Physics 2024-10-17 Yunlong Liu , Xiangdong Zhang

I define here a novel function on a modeled space of gravitational-wave signals, before studying its properties as a statistic for detection, as an objective function for identification, and as an effective likelihood function for…

General Relativity and Quantum Cosmology · Physics 2022-11-30 Alvin J. K. Chua

Given the multi-frequency nature of relativistic orbits, transient orbital resonances are expected to be ubiquitous during an extreme-mass-ratio inspiral (EMRI). At a resonance, the orbital dynamics is modified in a nontrivial way,…

General Relativity and Quantum Cosmology · Physics 2026-04-30 Edoardo Levati , Alejandro Cárdenas-Avendaño

In this paper, we study the problem of multipath channel estimation for direct sequence spread spectrum signals. To resolve multipath components arriving within a short interval, we propose a new algorithm called the least-squares based…

Information Theory · Computer Science 2015-03-19 Wooseok Nam , Seung-Hyun Kong

We study Extreme Mass Ratio Inspirals (EMRIs), during which a small body spirals into a supermassive black hole, in gravity theories with additional scalar fields. We first argue that no-hair theorems and the properties of known theories…

General Relativity and Quantum Cosmology · Physics 2022-03-14 Andrea Maselli , Nicola Franchini , Leonardo Gualtieri , Thomas P. Sotiriou

The future space based gravitational wave detector LISA (Laser Interferometer Space Antenna) will observe millions of Galactic binaries constantly present in the data stream. A small fraction of this population (of the order of several…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Natalia Korsakova , Stanislav Babak , Michael L. Katz , Nikolaos Karnesis , Sviatoslav Khukhlaev , Jonathan R. Gair

Searching for gravitational waves from stellar-mass binary black holes with LISA remains a challenging open problem. Conventional template-bank approaches to the search are impossible due to the prohibitive number of templates that would be…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Diganta Bandopadhyay , Christopher J. Moore

Extremely large mass-ratio inspirals (XMRIs), consisting of a brown dwarf orbiting a supermassive black hole, emit long-lived and nearly monochromatic gravitational waves in the millihertz band and constitute a promising probe of…

High Energy Astrophysical Phenomena · Physics 2026-02-02 Tian-Xiao Wang , Yan Wang , Alejandro Torres-Orjuela , Yi-Ren Lin , Hui-Min Fan , Verónica Vázquez-Aceves , Yi-Ming Hu

The Laser Interferometer Space Antenna (LISA) will enable precision studies of Extreme and Intermediate Mass Ratio Inspirals (EMRIs/IMRIs), providing unique probes of astrophysical environments of galactic nuclei and strong-field gravity.…

Instrumentation and Methods for Astrophysics · Physics 2026-03-19 Lorenzo Speri , Francisco Duque , Susanna Barsanti , Alessandro Santini , Shubham Kejriwal , Ollie Burke , Christian E. A. Chapman-Bird

The space-based gravitational-wave detector eLISA has been selected as the ESA L3 mission, and the mission design will be finalised by the end of this decade. To prepare for mission formulation over the next few years, several outstanding…

General Relativity and Quantum Cosmology · Physics 2015-11-10 Alvin J. K. Chua , Jonathan R. Gair

The inspiral of stellar compact objects into massive black holes, usually known as extreme-mass-ratio inspirals (EMRIs), is one of the most important sources of gravitational-waves for the future Laser Interferometer Space Antenna (LISA).…

General Relativity and Quantum Cosmology · Physics 2010-01-28 Carlos F. Sopuerta , Nicolas Yunes

Mini-Extreme-Mass-Ratio Inspirals (mini-EMRIs), comprising a sub-solar exotic compact object (such as a primordial black hole or boson star) orbiting a much heavier stellar-origin or exotic compact object, represent key targets for…

General Relativity and Quantum Cosmology · Physics 2025-12-29 Zi-Xuan Wang , Xing-Yu Chen , Ju Chen , Gong Cheng , Huai-Ke Guo , Andrew L. Miller

The future space-based gravitational wave observatory, the Laser Interferometer Space Antenna, is expected to observe between 1-1000s extreme mass-ratio inspirals (EMRIs) per year. Due to the simultaneous presence of other gravitational…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Sviatoslav Khukhlaev , Stanislav Babak

The upcoming gravitational wave (GW) observatory LISA will measure the parameters of sources like extreme-mass-ratio inspirals (EMRIs) to exquisite precision. These measurements will also be sensitive to perturbations to the vacuum,…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Shubham Kejriwal , Francisco Duque , Alvin J. K. Chua , Jonathan Gair