Constructs SLE(κ) partition functions as Coulomb gas integrals for κ∈(0,8), proves positivity and series properties, builds real-analytic pure partition functions, and relates both via meander matrix to define global non-simple multiple chordal SLE measures.
Pole dynamics and an integral of motion for multiple SLE(0)
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Multiple SLEs for $\kappa\in (0,8)$: Coulomb gas integrals and pure partition functions
Constructs SLE(κ) partition functions as Coulomb gas integrals for κ∈(0,8), proves positivity and series properties, builds real-analytic pure partition functions, and relates both via meander matrix to define global non-simple multiple chordal SLE measures.