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math-ph2026
A second order upper bound to the free energy of the two dimensional Bose gas
Florian Haberberger, Lukas Junge
We consider a two-dimensional Bose gas in the dilute regime where is small. For temperatures below the Berezinskii-Kosterlitz-Thouless critical temperature, we derive an exp…
math-ph2026
Propagation of Condensation via Neumann Localization in the Dilute Bose Gas
Lukas Junge
We prove a Neumann localization inequality for the Laplacian that includes a spectral gap. This result is obtained by partitioning a cube into overlapping families of subcubes and…