@article{10.1093/imrn/rnae057,
  author = {Luo, Wenbin},
  title = {{Slope Boundedness and Equidistribution Theorem}},
  journal = {International Mathematics Research Notices},
  pages = {rnae057},
  year = {2024},
  month = apr,
  issn = {1073-7928},
  doi = {10.1093/imrn/rnae057},
  url = {https://doi.org/10.1093/imrn/rnae057},
  eprint = {https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnae057/57162689/rnae057.pdf}
}

In this article, we prove the boundedness of minimal slopes of adelic line bundles over function fields of characteristic \\0\\. This can be applied to prove the equidistribution of generic and small points with respect to a big and semipositive adelic line bundle. Our methods can be applied to the finite places of number fields as well. We also show the continuity of \\\χ\\-volumes over function fields.

@article{luo2022relative,
  author = {Luo, Wenbin},
  title = {A Relative Bigness Inequality and Equidistribution Theorem over Function Fields},
  journal = {International Journal of Number Theory},
  volume = {0},
  number = {ja},
  pages = {null},
  year = {0},
  doi = {10.1142/S1793042125500241},
  url = { 
          https://doi.org/10.1142/S1793042125500241
  },
  note = {to appear}
}

@unpublished{fan2024height,
  title = {Height Filtrations and Base Loci on Flag Bundles over a Curve},
  author = {Fan, Yangyu and Luo, Wenbin and Qu, Binggang},
  year = {2024},
  doi = {2403.06808},
  publisher = {arXiv},
  primaryclass = {math.NT}
}

@unpublished{luo2024arithmetic,
  title = {Arithmetic degrees of dynamical systems over fields of characteristic zero},
  author = {Luo, Wenbin and Song, Jiarui},
  year = {2024},
  doi = {2401.11982},
  url = {https://arxiv.org/abs/2401.11982},
  publisher = {arXiv},
  primaryclass = {math.NT}
}

@unpublished{luo2023continuous,
  title = {Continuous Extension and Birational Invariance of {\chi}-Volume Over an Adelic Curve},
  author = {Luo, Wenbin},
  doi = {2303.01604},
  url = {https://arxiv.org/abs/2303.01604},
  year = {2023},
  publisher = {arXiv},
  primaryclass = {math.AG}
}

@unpublished{luo2020conti,
  doi = {2003.09837},
  url = {https://arxiv.org/abs/2003.09837},
  author = {Luo, Wenbin},
  keywords = {Algebraic Geometry (math.AG), FOS: Mathematics, FOS: Mathematics},
  title = {The continuity of $χ$-volume functions over adelic curves},
  publisher = {arXiv},
  year = {2020},
  copyright = {arXiv.org perpetual, non-exclusive license}
}

@unpublished{luo2019trivial,
  doi = {2009.08663},
  url = {https://arxiv.org/abs/2009.08663},
  author = {Luo, Wenbin},
  keywords = {Algebraic Geometry (math.AG), FOS: Mathematics, FOS: Mathematics},
  title = {Arithmetic over trivially valued field and its applications},
  publisher = {arXiv},
  year = {2020},
  copyright = {arXiv.org perpetual, non-exclusive license}
}