3 papers
math.PR2026
Fluctuations for the critical free Bose gas
Quirin Vogel
We study the critical free Bose gas from a probabilistic perspective with a focus on the three-dimensional case. We show that, unlike in the subcritical and supercritical regime, t…
math.PR2021
Formation of infinite loops for an interacting bosonic loop soup
Matthew Dickson, Quirin Vogel
We compute the limiting measure for the Feynman loop representation of the Bose gas for a non mean-field energy. As predicted in previous works, for high densities the limiting mea…
math.PR2020
Emergence of interlacements from the finite volume Bose soup
Quirin Vogel
We show that, conditioned on the (empirical) particle density exceeding the critical value, the finite volume Bose loop soup converges to the superposition of the Bosonic loop soup…