Year: 2025
Type: preprint
Abstract: In this paper, we show that the frontier of planar random walk converges weakly under natural parametrization to that of planar Brownian motion. As an intermediate result, we also show the convergence of the renormalized occupation measure.
Source: arXiv (Cornell University)
Authors: Gao, Yifan, Li, Xinyi, Liu, Runsheng, Liu, Xiangyi, Shiraishi, Daisuke
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979230485
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