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.
The full thesis can be downloaded at :
http://wrap.warwick.ac.uk/154434/1/WRAP_Theses_Vogel_2020.pdf
http://wrap.warwick.ac.uk/154434/1/WRAP_Theses_Vogel_2020.pdf