Brownian loop measure is a conformally-invariant measure on Brownian loops in the plane introduced by Lawler and Werner to study SLE curves. In this talk, given a foliation of the punctured disk, I will define a Poisson point process on Brownian bubbles rooted on the leaves of the foliation, which we call the Brownian bubble tea along a foliation. By comparing this process to the Brownian loop soup, we show that the Brownian loop measure can be disintegrated into Brownian bubble measures along the leaves of a foliation. I will discuss applications of this result to Loewner energy (of a Jordan curve), the Schwarzian action (of a diffeomorphism of the circle), and Loewner-Kufarev energy (of a foliation), as well as some of the context around these objects. This is based on joint work with Greg Lawler, Fredrik Viklund, and Yilin Wang.
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