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arXiv · 2502.03554

Logarithmic fluctuations of Stationary Hastings-Levitov

Noam Berger·Eviatar B. Procaccia
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Abstract

We prove that the fluctuation field $\{M_t(x)\}_{x\in\mathbb{R}}$ of stationary Hastings-Levitov$(0)$ exhibits logarithmic spatial correlations. Moreover, by studying the infinitesimal generator of the imaginary part of $M_t(0)$, we show that for some $\beta>0$, $\max_{x\in[0,t]}\text{Im} M_t(x)<\beta\log t$ with high probability, as $t\to\infty$.

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BibTeXRIS

Noam Berger, Eviatar B. Procaccia. 2025-02-05. Logarithmic fluctuations of Stationary Hastings-Levitov. https://arxiv.org/abs/2502.03554

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