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math.PR2024
Proof of off-diagonal long-range order in a mean-field trapped Bose gas via the Feynman--Kac formula
Tianyi Bai, Wolfgang König, Quirin Vogel
We consider the non-interacting Bose gas of bosons in dimension in a trap in a mean-field setting with a vanishing factor in front of the kinetic energy. The ch…
math.PR2024
Spatial particle processes with coagulation: Gibbs-measure approach, gelation and Smoluchowski equation
Luisa Andreis, Wolfgang König, Heide Langhammer +1
We study a spatial Markovian particle system with pairwise coagulation, a spatial version of the Marcus--Lushnikov process: according to a coagulation kernel , particle pairs me…