The authors establish generalized intersection exponents for the 3D Brownian loop soup, prove an up-to-constants estimate via a separation lemma, relate them to the Hausdorff dimension of local cut points, and show continuity at zero intensity implying dimension strictly larger than 1 for small sub-
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Generalized intersection exponents and local cut points for three-dimensional Brownian loop soup
The authors establish generalized intersection exponents for the 3D Brownian loop soup, prove an up-to-constants estimate via a separation lemma, relate them to the Hausdorff dimension of local cut points, and show continuity at zero intensity implying dimension strictly larger than 1 for small sub-