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math.PR2022
Two-dimensional random interlacements: 0-1 law and the vacant set at criticality
Orphée Collin, Serguei Popov
We correct and streamline the proof of the fact that, at the critical point , the vacant set of the two-dimensional random interlacements is infinite (Comets, Popov, 2017). Al…
math.PR2022★ 1 cited
The free energy of a box-version of the interacting Bose gas
Orphée Collin, Benedikt Jahnel, Wolfgang König
The interacting quantum Bose gas is a random ensemble of many Brownian bridges (cycles) of various lengths with interactions between any pair of legs of the cycles. It is one of th…