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Left Tail of the Derivative Martingale in a Gaussian BRW in the Entire Subcritical Regime
arXiv Math
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이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
We establish a rather sharp two-sided estimate for the left tail probability of the derivative martingale limit in a binary Gaussian branching random walk throughout the entire subcritical regime, confirming a conjecture by Lacoin, Rhodes, and Vargas (\emph{Duke Math.
J.} 171(3):483--545, 2022) in the case of Gaussian multiplicative cascades.
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