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The Gaussian Free Field

  • 章节

  • 发表日期：

    2024年

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  • Yves Le Jan

摘要

The Gaussian free field is defined in this chapter and the identity in law between the vertex occupation field of loop ensembles of intensity ½ or 1 and the square of the real or complex free field is proved. This formula is related to an identity combining bridge local times with the Gaussian free field, which is known as Dynkin’s (or BFS Dynkin’s) isomorphism.