Random walks around black holes and low-frequency X-ray variability

arXiv:2607.14626 · gr-qc, astro-ph.HE · Submitted 2026-07-16 · Read on arXiv

Arthur G. Suvorov

gr-qc, astro-ph.HE

Submitted: 2026-07-16

Comments: 12 pages, 9 figures. Accepted for publication in Classical and Quantum Gravity

Journal ref: Class. Quantum Grav. 43 135032 (2026)

DOI: 10.1088/1361-6382/ae82ad

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Stochastic Dynamics — 5× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Diffusion Process — 1× in this paper · explained in 2 episodes
• Schwarzschild-de Sitter — 1× in this paper

Sources

• A Stochastic Model for the Luminosity Fluctuations of Accreting Black Holes
• Episodic Random Accretion and the Cosmological Evolution of Supermassive Black Hole Spins
• Modeling the Time Variability of SDSS Stripe 82 Quasars as a Damped Random Walk
• Examining AGN UV/optical Variability Beyond the Simple Damped Random Walk
• Chaotic Gas Accretion by Black Holes Embedded in AGN Discs as Cause of Low-spin Signatures in Gravitational Wave Events
• Latent Stochastic Differential Equations for Modeling Quasar Variability and Inferring Black Hole Properties
• Particle Stirring in Turbulent Gas Disks: Including Orbital Oscillations
• Planck 2013 results. XVI. Cosmological parameters
• Modelling spin-up episodes in accreting millisecond X-ray pulsars
• Are There Three Peaks in the Power Spectra of GX 339-4 and Cyg X-1?
• Fifty Years After the Discovery of the First Stellar-Mass Black Hole: A Review of Cyg X-1
• Breaking the spectral degeneracies in black hole binaries with fast timing data
• The remarkable timing properties of a `hypersoft' state in GRO J1655-40
• Multipole moments do not uniquely characterize spacetimes beyond general relativity
• Maupertuis principle, Wheeler's superspace and an invariant criterion for local instability in general relativity
• The Jacobi-metric for timelike geodesics in static spacetimes

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