Constructs the stochastic many-delta motions for the 2D N-body delta-Bose gas, strong Markov processes with lifetime solving an explicit singular SDE, and proves the no-triple-contacts property pathwise.
First, the property that ( ˆK1/K0)(·) is increasing has been obtained in [6, Proposi- tion 4.12 (4 ◦)] by taking α = 0 there
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Stochastic motions of the two-dimensional many-body delta-Bose gas, II: Many-$\delta$ motions
Constructs the stochastic many-delta motions for the 2D N-body delta-Bose gas, strong Markov processes with lifetime solving an explicit singular SDE, and proves the no-triple-contacts property pathwise.