References#

References are grouped by their role in an analysis. Cite the methods you use together with the version of JeansPy and its dependencies.

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Jeans equations and axisymmetric dynamics#

Reference	Work	Relevance
Binney & Tremaine (2008)	Galactic Dynamics	Collisionless dynamics and Jeans equations; 2nd edition, Section 4.8.
van der Marel et al. (1994)	Velocity profiles of galaxies with claimed black holes - II. f(E, Lz) models for M32	Earlier two-integral axisymmetric models and spheroidal potential integrals.
Cappellari (2008)	Measuring the inclination and mass-to-light ratio of axisymmetric galaxies via anisotropic Jeans models of stellar kinematics	Cylindrical alignment and constant meridional anisotropy; general Jeans solution in Section 3.1.1.
Hayashi & Chiba (2012)	Probing non-spherical dark halos in the Galactic dwarf galaxies	Application of semi-isotropic axisymmetric models to dwarf spheroidal galaxies.
Hayashi & Chiba (2015)	Structural properties of non-spherical dark halos in Milky Way and Andromeda dwarf spheroidal galaxies	Dwarf-galaxy modelling with nonzero constant cylindrical anisotropy.
Hayashi et al. (2016)	Dark matter annihilation and decay from non-spherical dark halos in galactic dwarf satellites	Non-spherical dwarf-halo inference and annihilation/decay factors.

Reference	Work	Relevance
Plummer (1911)	On the Problem of Distribution in Globular Star Clusters: (Plate 8.)	Plummer tracer profile.
Zhao (1996)	Analytical models for galactic nuclei	Double power-law halo family.
Navarro et al. (1997)	A Universal Density Profile from Hierarchical Clustering	NFW halo profile.
Baes & Van Hese (2007)	Dynamical models with a general anisotropy profile	Flexible spherical anisotropy profiles.
Vitral & Mamon (2020)	A precise analytical approximation for the deprojection of the Sérsic profile	Sersic deprojection approximation.
Vitral & Mamon (2021)	Does NGC 6397 contain an intermediate-mass black hole or a more diffuse inner subcluster?	Extended Sersic deprojection coefficients in Appendix A.

Reference	Work	Relevance
Ullio & Valli (2016)	A critical reassessment of particle Dark Matter limits from dwarf satellites	Finite-distance spherical J-factor geometry.
Evans et al. (2016)	Simple J-factors and D-factors for indirect dark matter detection	Analytic J/D-factor results and scaling relations.

Reference	Work	Relevance
Foreman-Mackey et al. (2013)	emcee : The MCMC Hammer	emcee ensemble sampling.
Hoffman & Gelman (2014)	The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo	No-U-Turn Hamiltonian Monte Carlo.
Phan et al. (2019)	Composable Effects for Flexible and Accelerated Probabilistic Programming in NumPyro	NumPyro probabilistic programming.
Bradbury et al. (2018)	JAX: composable transformations of Python+NumPy programs	JAX array transformations and automatic differentiation.
Kumar et al. (2019)	ArviZ a unified library for exploratory analysis of Bayesian models in Python	ArviZ posterior analysis.
Vehtari et al. (2021)	Rank-normalization, folding, and localization: An improved R-hat for assessing convergence of MCMC (with Discussion)	Rank-normalized R-hat and effective sample size diagnostics.