Imaginary Geometry
Images based on the works IG1, IG2, IG3, IG4.
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Flow lines of the Gaussian free field from the bottom to the top of the square.
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Light cone construction of an SLE_k with k=16/3 using flow lines of the Gaussian free field
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Light cone construction of an SLE_k with k=64 using flow lines of the Gaussian free field. The rho values of the curve are chosen so that it only hits the domain boundary at its initial and terminal points.
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SLE_k type curves with k > 4 generated as light cones of SLE_(16/k) type curves coupled together as flow lines of the Gaussian free field. Animations of SLE_128 and the reversible version of SLE_128.
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Space filling SLE_k with k=6. Related animation.