Speaker: 高一帆（西湖大学）
Title: Characterization of generalized conformal restriction measures via Brownian loop soups
Language: Chinese
Time & Venue: 2025 年12月25日16:00–17:00 南楼613
Abstract: We present a unified approach to establish the uniqueness of generalized conformal restriction measures with central charge $c \in (0,1]$ in both chordal, radial, and loop cases (also known as the Malliavin-Kontsevich-Suhov measures), by relating these measures to the loop soups. Moreover, we relate the MKS measure on the disk to the crossing probability of the Brownian loop soup, which strengthens the known estimate for the latter. This is based on joint works with Gefei Cai (PKU).
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