A Moment Bound on Bulk/Boundary Quotients of Gaussian Multiplicative Cascades

Yichao Huang; Youtao Liu

doi:10.1007/s10114-026-5036-6

A Moment Bound on Bulk/Boundary Quotients of Gaussian Multiplicative Cascades

Yichao Huang^*
, Youtao Liu

^*Corresponding author for this work

Beijing Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

We initiate the study of bulk/boundary quotients of Gaussian multiplicative cascades measures, for which we establish preliminary joint moment bounds. This is a preliminary result towards studying the bulk/boundary quotients of Gaussian multiplicative chaos measures coming from the theory of boundary Liouville conformal field theory.

Original language	English
Pages (from-to)	1713-1726
Number of pages	14
Journal	Acta Mathematica Sinica, English Series
Volume	42
Issue number	6
DOIs	https://doi.org/10.1007/s10114-026-5036-6
Publication status	Published - Jun 2026
Externally published	Yes

Keywords

60G15
60G50
60G57
Gaussian comparison inequalities
Gaussian multiplicative cascades
bulk/boundary interaction
multifractal analysis

Access to Document

10.1007/s10114-026-5036-6

Cite this

@article{582ccd8c90e744ee95159b926bcc5564,

title = "A Moment Bound on Bulk/Boundary Quotients of Gaussian Multiplicative Cascades",

abstract = "We initiate the study of bulk/boundary quotients of Gaussian multiplicative cascades measures, for which we establish preliminary joint moment bounds. This is a preliminary result towards studying the bulk/boundary quotients of Gaussian multiplicative chaos measures coming from the theory of boundary Liouville conformal field theory.",

keywords = "60G15, 60G50, 60G57, Gaussian comparison inequalities, Gaussian multiplicative cascades, bulk/boundary interaction, multifractal analysis",

author = "Yichao Huang and Youtao Liu",

note = "Publisher Copyright: {\textcopyright} Springer-Verlag GmbH Germany \& The Editorial Office of AMS 2026.",

year = "2026",

month = jun,

doi = "10.1007/s10114-026-5036-6",

language = "English",

volume = "42",

pages = "1713--1726",

journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

publisher = "Springer Verlag",

number = "6",

}

TY - JOUR

T1 - A Moment Bound on Bulk/Boundary Quotients of Gaussian Multiplicative Cascades

AU - Huang, Yichao

AU - Liu, Youtao

N1 - Publisher Copyright: © Springer-Verlag GmbH Germany & The Editorial Office of AMS 2026.

PY - 2026/6

Y1 - 2026/6

N2 - We initiate the study of bulk/boundary quotients of Gaussian multiplicative cascades measures, for which we establish preliminary joint moment bounds. This is a preliminary result towards studying the bulk/boundary quotients of Gaussian multiplicative chaos measures coming from the theory of boundary Liouville conformal field theory.

AB - We initiate the study of bulk/boundary quotients of Gaussian multiplicative cascades measures, for which we establish preliminary joint moment bounds. This is a preliminary result towards studying the bulk/boundary quotients of Gaussian multiplicative chaos measures coming from the theory of boundary Liouville conformal field theory.

KW - 60G15

KW - 60G50

KW - 60G57

KW - Gaussian comparison inequalities

KW - Gaussian multiplicative cascades

KW - bulk/boundary interaction

KW - multifractal analysis

UR - https://www.scopus.com/pages/publications/105041839498

U2 - 10.1007/s10114-026-5036-6

DO - 10.1007/s10114-026-5036-6

M3 - Article

AN - SCOPUS:105041839498

SN - 1439-8516

VL - 42

SP - 1713

EP - 1726

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 6

ER -

A Moment Bound on Bulk/Boundary Quotients of Gaussian Multiplicative Cascades

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this