Abstract
Diffusion Limited Aggregation (DLA) has served for forty years as a paradigmatic example for the creation of fractal growth patterns. In spite of thousands of references no exact result for the fractal dimension of DLA is known. In this Letter we announce an exact result for off-lattice DLA grown on a line, . The result relies on representing DLA with iterated conformal maps, allowing one to prove self-affinity, a proper scaling limit and a well defined fractal dimension. Mathematical proofs of the main results are available in arXiv:2008.05792.
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