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Dapeng Zhan is a Professor in the Department of Mathematics. His research focuses on the Schramm-Loewner Evolution (SLE), which describes random fractal curves in plane domains and the distribution of conformal (analytic one-to-one) maps. Introduced by Oded Schramm in 1999, SLE combines aspects of Charles Loewner’s equation with complex analysis and random input functions. Zhan utilizes tools from stochastic analysis to explore random curves in the plane, examining scaling limits in dimensional statistical physics models, including critical site percolation, critical Ising models, Gaussian free fields, loop-erased random walks, and uniform spanning trees. He is committed to advancing the understanding of these complex mechanisms through rigorous mathematical frameworks.
Department of Psychology