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PreprintCC BY 4.0arXiv

Visualizing Disequilibrium: Tracing Two-Point Correlations to Specific Spatial Structures in the Milky Way

Abstract

The Two-Point Correlation Function can be used to demonstrate the existence of substructure within a dataset, but typical implementations do not track the individual points which contribute to each specific substructure. In this paper, we develop an algorithm that traces a two-point correlation signal back to the contributions of each data point, allowing for structure to be visualized in novel ways. Using this tool, we find substantial evidence for pervasive spatial clustering in the Milky Way and reveal complex undulations that warp the previously discovered vertical density waves. We also explore the ``clumping" of stars in the thick disk and near-halo regions and discuss the possibility of dating the structure.

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BibTeX
@misc{hinkel2026visualizing,
  title = {{Visualizing Disequilibrium: Tracing Two-Point Correlations to Specific Spatial Structures in the Milky Way}},
  author = {Austin Hinkel and Josephine Vanzant},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.26513},
  eprint = {2608.26513},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.26513},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Visualizing Disequilibrium: Tracing Two-Point Correlations to Specific Spatial Structures in the Milky Way
AU  - Austin Hinkel
AU  - Josephine Vanzant
PY  - 2026
DA  - 2026/08/27
PB  - arXiv
DO  - 10.48550/arxiv.2608.26513
UR  - https://arxiv.org/abs/2608.26513
AB  - The Two-Point Correlation Function can be used to demonstrate the existence of substructure within a dataset, but typical implementations do not track the individual points which contribute to each specific substructure. In this paper, we develop an algorithm that traces a two-point correlation signal back to the contributions of each data point, allowing for structure to be visualized in novel ways. Using this tool, we find substantial evidence for pervasive spatial clustering in the Milky Way and reveal complex undulations that warp the previously discovered vertical density waves. We also explore the ``clumping" of stars in the thick disk and near-halo regions and discuss the possibility of dating the structure.
ER  -