Geometric properties of random walk loop soups - PhDData

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Geometric properties of random walk loop soups

The thesis was published by Vogel, Quirin, in June 2020, University of Warwick.

Abstract:

In this thesis the author examines geometric properties of (Poisson) loop soups generated from loop measures with varying weights. The framework incorporates the Markovian loop measure, see [LJ11], as well as the Bosonic loop measure, see [AV20]. The author characterises certain geometric features of the loop soup, such as its percolative properties and correlation structure.



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