# References

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

Download the {download}`BibTeX file <references.bib>`.

(references-jeans-equations-and-axisymmetric-dynamics)=
## Jeans equations and axisymmetric dynamics

| Reference | Work | Relevance |
| --- | --- | --- |
| <span id="reference-binneytremaine2008"></span>Binney & Tremaine (2008) | [Galactic Dynamics](https://doi.org/10.1515/9781400828722) | Collisionless dynamics and Jeans equations; 2nd edition, Section 4.8. |
| <span id="reference-vandermarel1994"></span>van der Marel et al. (1994) | [Velocity profiles of galaxies with claimed black holes - II. f(E, Lz) models for M32](https://doi.org/10.1093/mnras/271.1.99) | Earlier two-integral axisymmetric models and spheroidal potential integrals. |
| <span id="reference-cappellari2008"></span>Cappellari (2008) | [Measuring the inclination and mass-to-light ratio of axisymmetric galaxies via anisotropic Jeans models of stellar kinematics](https://doi.org/10.1111/j.1365-2966.2008.13754.x) | Cylindrical alignment and constant meridional anisotropy; general Jeans solution in Section 3.1.1. |
| <span id="reference-hayashi2012"></span>Hayashi & Chiba (2012) | [Probing non-spherical dark halos in the Galactic dwarf galaxies](https://arxiv.org/abs/1206.3888) | Application of semi-isotropic axisymmetric models to dwarf spheroidal galaxies. |
| <span id="reference-hayashi2015"></span>Hayashi & Chiba (2015) | [Structural properties of non-spherical dark halos in Milky Way and Andromeda dwarf spheroidal galaxies](https://doi.org/10.1088/0004-637x/810/1/22) | Dwarf-galaxy modelling with nonzero constant cylindrical anisotropy. |
| <span id="reference-hayashi2016"></span>Hayashi et al. (2016) | [Dark matter annihilation and decay from non-spherical dark halos in galactic dwarf satellites](https://doi.org/10.1093/mnras/stw1457) | Non-spherical dwarf-halo inference and annihilation/decay factors. |

(references-density-and-anisotropy-profiles)=
## Density and anisotropy profiles

| Reference | Work | Relevance |
| --- | --- | --- |
| <span id="reference-plummer1911"></span>Plummer (1911) | [On the Problem of Distribution in Globular Star Clusters: (Plate 8.)](https://doi.org/10.1093/mnras/71.5.460) | Plummer tracer profile. |
| <span id="reference-zhao1996"></span>Zhao (1996) | [Analytical models for galactic nuclei](https://doi.org/10.1093/mnras/278.2.488) | Double power-law halo family. |
| <span id="reference-navarro1997"></span>Navarro et al. (1997) | [A Universal Density Profile from Hierarchical Clustering](https://doi.org/10.1086/304888) | NFW halo profile. |
| <span id="reference-baesvanhese2007"></span>Baes & Van Hese (2007) | [Dynamical models with a general anisotropy profile](https://doi.org/10.1051/0004-6361:20077672) | Flexible spherical anisotropy profiles. |
| <span id="reference-vitral2020"></span>Vitral & Mamon (2020) | [A precise analytical approximation for the deprojection of the Sérsic profile](https://doi.org/10.1051/0004-6361/201937202) | Sersic deprojection approximation. |
| <span id="reference-vitral2021"></span>Vitral & Mamon (2021) | [Does NGC 6397 contain an intermediate-mass black hole or a more diffuse inner subcluster?](https://doi.org/10.1051/0004-6361/202039650) | Extended Sersic deprojection coefficients in Appendix A. |

(references-j-and-d-factors)=
## J and D factors

| Reference | Work | Relevance |
| --- | --- | --- |
| <span id="reference-ullio2016"></span>Ullio & Valli (2016) | [A critical reassessment of particle Dark Matter limits from dwarf satellites](https://doi.org/10.1088/1475-7516/2016/07/025) | Finite-distance spherical J-factor geometry. |
| <span id="reference-evans2016"></span>Evans et al. (2016) | [Simple J-factors and D-factors for indirect dark matter detection](https://doi.org/10.1103/physrevd.93.103512) | Analytic J/D-factor results and scaling relations. |

(references-inference-and-computation)=
## Inference and computation

| Reference | Work | Relevance |
| --- | --- | --- |
| <span id="reference-foremanmackey2013"></span>Foreman-Mackey et al. (2013) | [emcee : The MCMC Hammer](https://doi.org/10.1086/670067) | emcee ensemble sampling. |
| <span id="reference-hoffman2014"></span>Hoffman & Gelman (2014) | [The No-U-Turn Sampler: Adaptively Setting Path Lengths in Hamiltonian Monte Carlo](https://jmlr.org/papers/v15/hoffman14a.html) | No-U-Turn Hamiltonian Monte Carlo. |
| <span id="reference-numpyro2019"></span>Phan et al. (2019) | [Composable Effects for Flexible and Accelerated Probabilistic Programming in NumPyro](https://arxiv.org/abs/1912.11554) | NumPyro probabilistic programming. |
| <span id="reference-jax2018"></span>Bradbury et al. (2018) | [JAX: composable transformations of Python+NumPy programs](https://github.com/jax-ml/jax) | JAX array transformations and automatic differentiation. |
| <span id="reference-kumar2019"></span>Kumar et al. (2019) | [ArviZ a unified library for exploratory analysis of Bayesian models in Python](https://doi.org/10.21105/joss.01143) | ArviZ posterior analysis. |
| <span id="reference-vehtari2021"></span>Vehtari et al. (2021) | [Rank-normalization, folding, and localization: An improved R-hat for assessing convergence of MCMC (with Discussion)](https://doi.org/10.1214/20-ba1221) | Rank-normalized R-hat and effective sample size diagnostics. |