For the 2D N-body delta-Bose gas with all but one delta interaction switched off, explicit transition densities, invariant measure, Harris recurrence and singular-drift SDEs are proved for the one-delta stochastic motion.
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Stochastic motions of the two-dimensional many-body delta-Bose gas, I: One-$\delta$ motions
For the 2D N-body delta-Bose gas with all but one delta interaction switched off, explicit transition densities, invariant measure, Harris recurrence and singular-drift SDEs are proved for the one-delta stochastic motion.