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math.PR2026
Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup
Yifan Gao, Ruixuan Li, Xinyi Li
We study generalized non-intersection probabilities for the three-dimensional Brownian loop soup at subcritical intensities. We establish the existence of generalized intersection…
math.PR2026
One-arm probabilities for the two-dimensional metric-graph and discrete Gaussian free field
Yijie Bi, Yifan Gao, Xinyi Li
We study the one-arm probability in the level-set percolation of the discrete and metric-graph Gaussian free field (GFF) defined on a box with Dirichlet boundary conditions. For th…
math.DS2026
Bivariate partial mapping for detecting causality in complex non-autonomous system
Yang Ni, Changqing Liu, Yifan Zhang +4
Identifying causality is fundamental for human understanding of the world, where complex non-autonomous systems such as species population changes, brain activities, etc. are exten…