An analytic Chebyshev-expansion method computes gravitational-wave fluxes from arbitrary-eccentricity Schwarzschild geodesics by reducing them to sums of prior Keplerian Fourier coefficients, with numerical tests showing 10^{-5} total flux accuracy and sub-10^{-6} mode errors for selected cases.
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Moderately mitigated glitch streams induce negligible to minor biases (0.04–0.6σ) in EMRI parameters while weakly mitigated streams with higher-SNR events can reach ~1σ biases, making EMRI inference more robust than for MBHBs.
Near-identity averaging transformations applied to osculating orbital elements reduce the computational cost of eccentric EOB inspirals by up to two orders of magnitude while maintaining accuracy for moderate to large eccentricities at NNLO.
A HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over prior packages by eliminating auxiliary parameters via analytic continuation and adaptive quadrature.
Bayesian inference on LVK O1-O3 events with eccentric aligned-spin waveforms yields log10 Bayes factors of 1.77-4.75 favoring eccentricity for GW200129, GW190701 and GW200208_22, and >99.5% probability that at least one of 57 events is eccentric under an astrophysically motivated rate prior.
Neglecting transient orbital resonances in EMRIs causes significant SNR losses and biases in recovered parameters, with the sign and amplitude of resonance-induced changes to integrals of motion being critical.
LISA EMRIs can constrain deviations from Kerr equatorial symmetry to 10^{-2} and axial symmetry to 10^{-3} using Analytic Kludge waveforms and Fisher analysis.
LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.
Quantum corrections in rotating black holes produce detectable but spin-suppressed gravitational wave phase shifts in LISA EMRIs.
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First-time assessment of glitch-induced bias and uncertainty in inference of extreme mass ratio inspirals
Moderately mitigated glitch streams induce negligible to minor biases (0.04–0.6σ) in EMRI parameters while weakly mitigated streams with higher-SNR events can reach ~1σ biases, making EMRI inference more robust than for MBHBs.