Conformal Invariance of Boundary Touching Loops of FK Ising Model
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DOI: 10.1007/s00220-019-03437-0
Abstract: In this article we show the convergence of a loop ensemble of interfaces in the FK Ising model at criticality, as the lattice mesh tends to zero, to a unique conformally invariant scaling limit. The… read more here.
Keywords: sle kappa; process; loop ensemble; ising model ... See more keywords
Multipoint Estimates for Radial and Whole-Plane SLE
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DOI: 10.1007/s10955-019-02269-5
Abstract: We prove upper bounds for the probability that a radial $$\hbox {SLE}_{\kappa }$$SLEκ curve, $$\kappa \in (0,8)$$κ∈(0,8), comes within specified radii of n different points in the unit disc. Using this estimate, we then prove… read more here.
Keywords: sle kappa; radial whole; hbox sle; plane ... See more keywords