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PreprintCC BY 4.0HAL

Phase II Complex Gaussian Multiplicative Chaos

  • Yuchen Fan
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Abstract

We prove the stable finite-dimensional convergence of the phase II complex Gaussian multiplicative chaos via convergence of the characteristic functions to circular complex Gaussian noise with a positive stable random intensity controlled by the limiting measure of the critical derivative Gaussian multiplicative chaos.

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Cite

BibTeXRIS
BibTeX
@misc{fan2026phase,
  title = {{Phase II Complex Gaussian Multiplicative Chaos}},
  author = {Yuchen Fan},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  url = {https://hal.science/hal-05785143v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Phase II Complex Gaussian Multiplicative Chaos
AU  - Yuchen Fan
PY  - 2026
DA  - 2026/10/07
PB  - HAL
UR  - https://hal.science/hal-05785143v1
AB  - We prove the stable finite-dimensional convergence of the phase II complex Gaussian multiplicative chaos via convergence of the characteristic functions to circular complex Gaussian noise with a positive stable random intensity controlled by the limiting measure of the critical derivative Gaussian multiplicative chaos.
ER  -