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PreprintarXiv licencearXiv

A note on the product of holomorphic correspondences

  • Bharath Krishna Seshadri
  • Sathi Trikkadeeri
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Abstract

In this article we study the concept of product of two holomorphic correspondences which was introduced in our previous work. Beginning with some basic results regarding the orbit space associated with the product correspondence, we then move on to a detailed analysis on the thermodynamic formalism of the same. Some of the results look at the behaviour of the product correspondence with respect to the individual correspondences. Finally, we explore different families of correspondences with expanding nature.

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Cite

BibTeXRIS
BibTeX
@misc{seshadri2026note,
  title = {{A note on the product of holomorphic correspondences}},
  author = {Bharath Krishna Seshadri and Sathi Trikkadeeri},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.00993},
  eprint = {2611.00993},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.00993},
}
RIS
TY  - UNPB
TI  - A note on the product of holomorphic correspondences
AU  - Bharath Krishna Seshadri
AU  - Sathi Trikkadeeri
PY  - 2026
DA  - 2026/11/01
PB  - arXiv
DO  - 10.48550/arxiv.2611.00993
UR  - https://arxiv.org/abs/2611.00993
AB  - In this article we study the concept of product of two holomorphic correspondences which was introduced in our previous work. Beginning with some basic results regarding the orbit space associated with the product correspondence, we then move on to a detailed analysis on the thermodynamic formalism of the same. Some of the results look at the behaviour of the product correspondence with respect to the individual correspondences. Finally, we explore different families of correspondences with expanding nature.
ER  -